500 mL of 0.3000 M NaCl (sodium chloride) solution is required to produce 0.1500 moles of NaCl. To find the volume in mL of a 0.3000 M NaCl solution required to produce 0.1500 moles of NaCl.
you can use the formula:
moles = molarity * volume
First, we need to rearrange the formula to solve for volume:
volume = moles / molarity
Now, plug in the given values:
volume = 0.1500 moles / 0.3000 M
volume = 0.5000 L
Since we need the volume in mL, we can convert it by using the conversion factor:
1 L = 1000 mL
volume = 0.5000 L * 1000 mL/L
volume = 500 mL
So, to produce 0.1500 moles of NaCl (sodium chloride), you need 500 mL of 0.3000 M NaCl solution.
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Al2O3(s)+3CO(g)→2Al(s)+3CO2(g) Express your answer in kilojoules to one decimal place.
Based on the standard heat of formation of aluminium oxide, the heat of the reaction of the decomposition of aluminium oxide is +3339.6 kJ
What is the heat of reaction?The heat or enthalpy of a reaction is the amount of heat evolved or absorbed when reactant molecules when reactants form products.
Considering the given reaction:
2 Al2O3(s) -> 2 Al(s) + 3 O2(g)The heat of formation of aluminum oxide is -1669.8 kJ/mol.
The heat of the reaction of the decomposition of aluminium oxide is calculated as follows:
Heat of reaction = Heat of formation of products - Heat of formation of reactants
Heat of reaction = {3 × ΔHf°O2 (g) + 2 × ΔHf° Al(s)} - 2 × ΔHf° Al2O3 (s)
Since the standard enthalpy of formation,ΔHf°, of an element in its most stable form is equal to zero.
ΔH°rxn = (3 × 0 + 2 × 0) - 2 × -1669.8 kJ/
ΔH°rxn = +3339.6 kJ
Therefore, the heat of the reaction of the decomposition of aluminium oxide is +3339.6 kJ
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What type of reactive intermediate is formed in the reaction of propene with N-bromosuccinimide to give 3-bromo-1-propene
Propene on reaction with N-bromosuccinimide in CCl4 produces 3-bromopropene.
In this reaction, allylic H atom is replaced with Br atom.
What are allylic radicals ?An allylic radical is the kind of reactive intermediate that is created when propene reacts with n-bromosuccinimide (nbs) to produce 3-bromo-1-propene. With NBS as one of the reactants, it is likely that a free radical bromination will take place.
The methyl group in propene would be attacked because the free radical that is forming can only be stabilized via resonance. A radical is said to be allylic if its resonance forms, which individually include unpaired electrons, are all located on an allylic carbon. Depending on where the allylic carbon is located, it can be categorized as a primary, secondary, or tertiary allylic radical.
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The student inferred that a chemical reaction occurred what evidence supports this inference
4na +O2 in this chemical reaction how many
Answer:
The balanced chemical equation representing the reaction of sodium metal with oxygen gas is,
4 Na (s) + O_{2}-->2Na_{2}O(s)
4 mol Na require 1 mol O2 for complete reaction to form 2 mol Na2O
Given the moles of Na reacting = 2.90 mol Na
2 mol Na_{2}O can form from 4 mol Na as per the balanced chemical equation.
Calculating the moles of Na_{2}O that can be formed from 2.90 mol Na:
2.90 mol Na * \frac{2 mol Na_{2}O }{4 mol Na} = 1.45 mol Na_{2}O
Therefore, 1.45 mol Na_{2}O can form from 2.90 mol Na.
Explanation:
This took so long to type
for experiment 2, calculate the concentration of no remaining when exactly one-half of the original amount of h2 had been consumed.
The concentration of NO remaining when exactly one-half of the original amount of H₂ had been consumed is 0.0050 M.
What is the concentration of NO remaining?Equation of reaction: 2 NO + 2 H₂ ---> N₂ + 2 H₂O
Experiment 2 data:
Initial concentration of NO = 0.006 M,
Initial concentration of H₂ = 0.002 M,
Initial rate = 3.6 * 10⁻⁴ L/(mol s)
From the equation of the reaction, 2 moles of NO reacts with 2 moles of H₂ to form the products.
The mole ratio of NO and H₂ is 1 : 1
One-half of the original amount of H₂ will 0.5 * 0.002 M = 0.001 M
Half of the original amount of H₂ has reacted with an equal amount of NO.
Hence, the amount of NO reacted = 0.001 M
The concentration of NO remaining = 0.0060 - 0.0010
The concentration of NO remaining = 0.0050 M
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4 Al + 302 → 2Al2O3
If a chemist does the reaction and produces 3.5 moles of aluminum oxide, how many moles of O2 were used in the reaction?
According to the stoichiometry and given chemical equation ,5.25 moles of oxygen are used in the reaction to produce 3.5 moles of aluminium oxide.
What is stoichiometry?It is the determination of proportions of elements or compounds in a chemical reaction. The related relations are based on law of conservation of mass and law of combining weights and volumes.
Stoichiometry is used in quantitative analysis for measuring concentrations of substances present in the sample.
In the given chemical equation, 3 mole of oxygen produces 2 moles of aluminium oxide.
Therefore for 3.5 moles of of aluminium oxide to be produced 3.5×3/2= 5.25 moles of oxygen are used.
Thus, 5.25 moles of oxygen were used in the reaction to produce 3.5 moles of aluminium oxide.
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Type the correct answer in each box.
Balance the chemical equation.
N₂O3-
N₂ +
0₂
The Balanced Reaction is 2N₂O₃⁻ -----> 2 N₂ + 3 0₂
What is a Balanced Reaction ?A reaction in which the number of atoms of each element in the reactant and the product are equal is called a Balanced Reaction .
It is given in the question:
To Balance the chemical equation.
N₂O₃⁻ -----> N₂ + 0₂
To balance the reaction , the number of molecules of each element , i.e. Nitrogen (N) and Oxygen (O) needs to be balanced
2N₂O₃⁻ -----> 2 N₂ + 3 0₂
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A student conducts an experiment to test how music affects plant growth. In the experiment, she uses two identical plant seedlings.
One plant is exposed to classical music. The other plant is exposed to no music. She measures and compares the different plants' height each week, for two months of time.
What is the independent variable in this experiment?
A. two months of time
B. height of the plants
C. type of plant seedlings
D. exposure to music
Answer:
D. exposure to music
Explanation:
Now, lets review what independent variable means. Independent variable: "The independent variable is the variable the experimenter changes or controls and is assumed to have a direct effect on the dependent variable. In an experiment, the researcher is looking for the possible effect on the dependent variable that might be caused by changing the independent variable." The student is able to control the music exposure, therefore making D your best bet.
What reagent could you add to a mixture of Mn+2(aq) and Zn+2(aq) to separate the two species?
a. NaOH b. HzDMG c. NaBiO3 d. BaClz e. KaFe(CN)s
"Group analysis" is a well-known qualitative analysis method that is used with NaBiO3 for this objective. Its distinctive characteristics are by subjecting a mixture of cations to a series of reagent treatments.
Zinc (Zn) is more quickly oxidised than manganese (Mn)?Zn has a larger negative reduction potential than Mn. As a result, if we add a potent oxidising agent, Mn+2 will remain unaffected and Zn will be preferentially oxidised to its +2 oxidation state. We may then segregate the two species as a result.
The sole powerful oxidising agent among the reagents given is (c) NaBiO3 (sodium bismuthate).As a result, we can separate the two species by adding NaBiO3 to the solution of Mn+2(aq) and Zn+2(aq). Zn+2 will be converted by the NaBiO3 to Zn(OH)4 and precipitated out of the solution, but Mn+2 will remain in the solution as Mn(OH)2. Zn+2 cannot be oxidised by the other specified reagents since they lack potent enough oxidising abilities.
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in setting up this experiment, a student noticed that a bubble of air leaked into the eudiometer when it was inverted in the water bath. what effect would this have on the measured volume of hydrogen gas and the calculated molar volume?
The volume of the gas is high and molar volume is also high.
A eudiometer is used to measure the change in the volume of the gas produced in the physical and chemical change. Air in the eudiometer is recorded during the experiment. leaked in to the water bath is also recorded during the experiment.so the measured volume is high. As the volume of the hydrogen gas is high. The volume is directly proportional to the number of moles of the gas ,the molar volume of the gas is also high. This is according to the Avogadro's law. Due to the presence of leaked air there are high volume of gas as well as high molar volume .
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Briefly explain how electron orbitals and energy levels relate to the structure of an atom.
What is the difference between magma and lava?
Help PLZ!!!!!!
A Magma is molten rock within the earth; lava is molten rock on the earth's surface.
B Magma is cool, lava is very hot.
Magma is very hot, lava is cool,
Magma is molten rock on the earth's surface; lava is molten rock within the earth.
Answer:
the answer is A. Magma is molten rock within the earth; Lava is molten rock on the earth's surface
Answer:
A Magma is molten rock within the earth
Explanaton:
Name one benefit and one limitation of comparative
investigations.
Comparative investigations involve a wide variety of factors and yield a lot of information. They may nonetheless show connections that do not always denote cause and effect.
When conducting a comparative inquiry, data are gathered on various things, features, or species as well as under various environmental factors, such as the season, temperature, and location.
Benefit – Practical uses are cheap, quick, and easily accessible
Limitation – Difficulty is observed when operationalizing variables
In a comparative investigation, a scientist compares similarities and differences throughout time and under diverse settings to look for trends.
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20 A student draws the model shown below.
Sun
Earth
Which of these best compares the conditions at Location X and Location Y?
F It is day at Location X and night at Location Y.
GIt is winter at Location X and summer at Location Y.
H There are more hours of daylight at Location X than at Location Y.
1 The moon is brighter when viewed from Location X than when viewed from Location Y.
Answer:
There are more hours of daylight at Location X than at Location Y.
Explanation:
The student has created a model in the diagram in which sun and earth are presented. There are two point location on earth one is x and other is y. The x point is declined towards the sun which means that locations on point x receives more light than location Y. There will be more hours of daylight at Location x.
The best comparison of the conditions at Location X and Location Y is there are more hours of daylight at Location X than at Location Y.
What is the Sun and the Earth?The sun is the big spherical of heat and energy. The sun gives light. The Earth is the third planet of our solar system.
Thus, the correct option is C, There are more hours of daylight at Location X than at Location Y.
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consider the reaction represented by the following equation: 2na cl2->2nacl. how many moles of nacl can be produced from 2 mol of cl2 and excess na, assuming a complete reaction?
According to the balanced equation, 2 mol of Cl2 react with 2 mol of Na to produce 2 mol of NaCl. Therefore, if 2 mol of Cl2 are present in excess Na, then 2 mol of NaCl can be produced.
4 moles of NaCl can be produced from 2 moles of Cl2 and excess Na, assuming a complete reaction.2 mol of Cl2 react with 2 mol of Na to produce 2 mol of NaCl. Therefore, if 2 mol of Cl2 are present in excess Na, then 2 mol of NaCl can be produced. In the given reaction, 2Na + Cl2 -> 2NaCl, the balanced equation shows that 1 mole of Cl2 reacts with 2 moles of Na to produce 2 moles of NaCl. Since you have 2 moles of Cl2 and excess Na available, the complete reaction will produce 2 x 2 = 4 moles of NaCl. Therefore, 4 moles of NaCl can be produced from 2 moles of Cl2 and excess Na, assuming a complete reaction.
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Please help me for this
Answer:
it says tick the box next to the correct answer so it'd be right to tick the last box:
The particles of the gas slow down
If atmospheric pressure suddenly changes from 1.00 atm to 0.900 atm0.900 atm at 298 K, how much oxygen will be released from 4.40 L4.40 L of water in an unsealed container
The answer is that 0.020 moles of oxygen will be released from the water in an unsealed container. This can be converted to mass or volume, if required, using the molar mass or density of oxygen, respectively.
If atmospheric pressure suddenly changes from 1.00 atm to 0.900 atm at 298 K, the amount of oxygen released from 4.40 L of water in an unsealed container can be calculated using the ideal gas law, which is given as: PV = nRT
Where, P = pressure, V = volume, T = temperature, R = universal gas constant, n = number of moles of gas
We can rearrange the equation to solve for n as: n = PV/RT
Initially, the pressure of the atmosphere is 1.00 atm, and the volume of water is 4.40 L. Therefore, the number of moles of oxygen present in the water can be calculated as:
n1 = (1.00 atm) x (4.40 L)/(0.08206 L atm K⁻¹ mol⁻¹ x 298 K)n1 = 0.197 mol
Now, when the atmospheric pressure suddenly changes to 0.900 atm, the amount of oxygen that will be released can be calculated by using the new pressure (0.900 atm) and the same volume of water (4.40 L):
n2 = (0.900 atm) x (4.40 L)/(0.08206 L atm K⁻¹ mol⁻¹ x 298 K)n2 = 0.177 mol
The difference between the two moles of oxygen can be calculated as: n2 - n1 = 0.177 - 0.197 = -0.020 mol
Since the reaction between atmospheric pressure and water is 1:1, we can say that 0.020 moles of oxygen will be released from 4.40 L of water in an unsealed container due to the decrease in atmospheric pressure. Therefore, the answer is that 0.020 moles of oxygen will be released from the water in an unsealed container. This can be converted to mass or volume, if required, using the molar mass or density of oxygen, respectively.
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2 moles of NO, was placed in an empty I dm' bottle and allowed to reach equilibrium according to the equation:
At equilibrium, 1.2 moles of N,O, dissociated. Calculate the value of the equilibrium constant for the reaction at that
temperature.
what are all the possible chemical formulas for-
1. cadmium and fluorine
2. vanadium and arsenic
3. rhenium and oxygen
4. lead and sulfur
5.titanium and nitrogen
6.palladium and chlorine
7.iridium and carbon
8.chromium and phosphorus
Answer:
number 7 or 3,5
Explanation:
sana po makatulong po sa inyo
approximately how long will it take for atmospheric co2 concentrations to return to preindustrial levels after we stop emitting carbon (without geoengineering)?
It is estimated that it would take between 50 to 200 years for atmospheric \(CO_2\) concentrations to return to preindustrial levels after we stop emitting carbon without geoengineering.
What is atmospheric ?Atmospheric refers to the gaseous layer of the Earth's environment that encircles the planet and supports life. It is composed of a mixture of nitrogen (78%), oxygen (21%) and small amounts of other gases such as carbon dioxide (0.04%). The atmosphere is an essential component of Earth's environment, providing a protective layer that shields us from the sun's harmful radiation and helps to regulate our climate. It also serves as a reservoir for gases that are important to life, such as water vapor and oxygen. The atmosphere is constantly changing, both on a global and local scale.
This is because the ocean absorbs\(CO_2\)over time, but only at certain rates. In addition, \(CO_2\)released into the atmosphere from land use, such as deforestation, can also contribute to the buildup of atmospheric \(CO_2\). Therefore, it takes considerable time for the ocean and other natural processes to absorb the extra \(CO_2\) released from human activities.
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Question 2 of 10
Why is the atomic theory important?
Answer:
It lead to scientific breakthroughs in chemistry.
Explanation:
Three elements, A, Q, and Z, have the molar masses indicated in the table below. Given a compound with a composition of 19.4% Q and 80.6% Z by mass, what is the empirical formula of this compound? Remember to enter subscripts as normal numbers (ie H2O is entered as H2O) and to enter elements in the same order they were given.
element symbol molar mass
A 15.45 g/mol
Q 20.05 g/mol
Z 41.62 g/mol
The empirical formula of the compound with a composition of 19.4% Q and 80.6% Z by mass is QZ14.
To find the empirical formula of the compound given, we need to first determine the moles of each element present. We can do this by assuming we have 100 grams of the compound, which means we have 19.4 grams of Q and 80.6 grams of Z.
Next, we can use the molar masses given in the table to find the number of moles of each element:
- Moles of Q = 19.4 g / 140.12 g/mol (molar mass of Q) = 0.1385 moles
- Moles of Z = 80.6 g / 41.62 g/mol (molar mass of Z) = 1.9368 moles
Now we need to find the simplest whole number ratio of these moles. We can do this by dividing each value by the smallest number of moles (which in this case is 0.1385):
- Moles of Q in simplest ratio = 0.1385 moles / 0.1385 moles = 1
- Moles of Z in simplest ratio = 1.9368 moles / 0.1385 moles = 14
This means that the empirical formula of the compound is QZ14. However, we need to make sure this is in its simplest form. We can divide both subscripts by the smallest value (which is 1) to get the final empirical formula:
- Empirical formula = QZ14 / 1 = QZ14
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boiling point (bp) elevation is a colligative property. rank the following 0.10 m solutions from lowest to highest bp. i. ammonia ii. methylamine iii. diethylamine iv. t-butylamine
The following 0.10 m solutions can be ranked from lowest to highest boiling point (bp) as:
ammonia < diethylamine < methylamine < t-butylamine.
The elevation in boiling point, ΔTb can be calculated using the expression;
ΔTb = Kb × bm
where ΔTb is the elevation in boiling point, Kb is the boiling point elevation constant, m is the molality of the solution.
For a given solvent, the boiling point elevation is directly proportional to the molality of the solute present, which means that the higher the molality of the solute, the higher the elevation in boiling point. Hence, we can rank the given solutions based on their molality.
The given solutions are all amines and they have the same formula NH₂R. The boiling point elevation constant is inversely proportional to the size of the molecule, which means that the smaller the molecule, the higher the boiling point elevation constant. Hence, the given amines can be ranked based on the size of their alkyl groups.
The order of the given amines based on the size of their alkyl groups is;
t-butylamine > diethylamine > methylamine > ammonia
The order of the given amines based on the boiling point elevation constant is;
ammonia > methylamine > diethylamine > t-butylamine
Ranking the given solutions based on their molality gives;
ammonia < diethylamine < methylamine < t-butylamine
Hence, the order of the given solutions from lowest to highest bp is;
ammonia < diethylamine < methylamine < t-butylamine
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Which of the following will require the least time for a reaction to reach equilibrium? O a. Cannot tell, since the time required to reach equilibrium does not depend on Kc. O b. Cannot tell without knowing the value of Kc- O c. Kc is a very large number. O d. Kc is a very small number. O e. Kc is approximately one.
The time required for a reaction to reach equilibrium can depend on the value of Kc, which represents the equilibrium constant. The equilibrium constant, Kc, is determined by the concentrations of the reactants and products at equilibrium.
In general, reactions with a larger Kc value tend to reach equilibrium more quickly than those with a smaller Kc value. This is because a larger Kc indicates that the concentration of products is higher compared to the concentration of reactants at equilibrium. As a result, the reaction proceeds more rapidly to reach the point where the ratio of products to reactants matches the value of Kc.
Therefore, among the given options, the answer would be option (c) where Kc is a very large number. In this case, the reaction would require the least amount of time to reach equilibrium.
It's important to note that the actual time required for a reaction to reach equilibrium depends on various factors such as temperature, pressure, and the presence of catalysts. Additionally, the time required for a reaction to reach equilibrium cannot be determined solely based on the value of Kc. However, in general, a larger Kc value suggests a quicker attainment of equilibrium.
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a 1.28- g gas sample occupies 605 ml at 29 ∘c and 1.00 atm . what is the molar mass of the gas?
If a 1.28 g gas sample occupies 605 ml at 29 °C and 1.00 atm the molar mass of the gas is 52.03 g/mol
To find the molar mass of the gas, we need to use the ideal gas law equation:
PV = nRT,
where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.
First, we need to convert the given temperature from Celsius to Kelvin:
T = 29 + 273.15 = 302.15 K
Next, we can rearrange the ideal gas law equation to solve for the number of moles:
n = (PV) / (RT)
Plugging in the given values:
n = (1.00 atm * 0.605 L) / (0.0821 L•atm/mol•K * 302.15 K)
n = 0.0246 mol
Finally, we can find the molar mass by dividing the mass of the gas sample by the number of moles:
Molar mass = Mass / Moles
Molar mass = 1.28 g / 0.0246 mol
Molar mass = 52.03 g/mol
Therefore, the molar mass of the gas is 52.03 g/mol.
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The molecule beryllium chloride has one beryllium atom, a metal, and two chlorine atoms, nonmetals. what kind of bond will they form?(1 point) responses beryllium and chlorine will form an ionic bond where one beryllium atom will donate electrons to two chlorine atoms. beryllium and chlorine will form an ionic bond where one beryllium atom will donate electrons to two chlorine atoms. beryllium and chlorine will form an ionic bond where two chlorine atoms will donate electrons to one beryllium atom. beryllium and chlorine will form an ionic bond where two chlorine atoms will donate electrons to one beryllium atom. beryllium and chlorine will form a covalent bond where one beryllium atom will share electrons with two chlorine atoms. beryllium and chlorine will form a covalent bond where one beryllium atom will share electrons with two chlorine atoms. beryllium and chlorine will form a covalent bond where two chlorine atoms will share electrons with one beryllium atom.
The kind of bond they will form is an ionic bond where one beryllium atom will donate electrons to two chlorine atoms (option A).
What is an ionic bond?Ionic bond is a type of chemical bond where two atoms or molecules are connected to each other by electrostatic attraction.
Ionic bonds are formed by atoms with opposite charges i.e. negative (-) and positive (+) charge. The metal is usually positively charged while the nonmetal is usually negatively charged.
According to this question, the molecule beryllium chloride has one beryllium atom, a metal, and two chlorine atoms, nonmetals. This means that an ionic bond will be formed by beryllium atom and chlorine atom.
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please help me. i don’t get it
Answer:
e. More protons than electrons
f. 2 more protons than electrons
g. Cation (anoin is for negatively charged atoms).
Explanation:
See attached worksheet
The process of fermentation involves chemical reactions that convert solid glucose (C6H12O6) into aqueous ethanol and carbon dioxide gas. Suggest how the speed of reaction alters as the temperature changes from 60C to 30C.
Explanation:
The glucose molecules changes as following:
C6H12O6 —> C2H5OH + CO2
There are 12 atoms of H on the left side and 6 atoms of the right side. It can be balance by putting 2 in front of C2H5OH as shown below:
C6H12O6 —> 2C2H5OH + CO2
There are 6 atoms of C on the left side and 5 atoms on the right side. It can be balance by putting 2 in front of CO2 as shown below:
C6H12O6 —> 2C2H5OH + 2CO2
F2 + 2HCl + Cl2 + 2HF I need help what are the answers to these questions?
2. What is reduced?
1. What is oxidized?
3. What is the oxidizing agent?
4. What is the reducing agent?
5. Write the oxidation half-reaction.
6. Write the reduction half-reaction.
8. What loses electrons?
7. What gains electrons?
10. What has a decrease in oxidation #?
9. What has an increase in oxidation #?
In the given reaction fluorine is reduced and chlorine is oxidized.
What is oxidation and reduction?Oxidation is a process in which addition of oxygen or removal of hydrogen and electron takes place, while reduction is a process in which addition of hydrogen & electrons or removal of oxygen takes place.
Given chemical reaction is:
F₂ + 2HCl → Cl₂ + 2HF
In the above reaction fluorine is reduced as it accepts an electron and increase in it its oxidation state takes from 0 to -1, which shows reduction.In the reaction chlorine is oxidized as it losses an electron and decrease in its oxidation state takes from -1 to 0, which shows oxidation.Oxidation half reaction is:F₂ + 2e⁻ → 2F⁻
Reduction half reaction is:2Cl⁻ → Cl₂ + 2e⁻
Hence, fluorine is reduced and chlorine is oxidized in the given reaction.
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Which molecule has a trigonal planar shape
The molecule that has a trigonal planar shape is Boron trifluoride (BF3).
Trigonal planar is a molecular geometry model with one atom at the center and three atoms at the corners of an equilateral triangle. Trigonal planar geometry is found in molecules where the central atom has three bonds and no lone pairs. Boron trifluoride (\(BF_3\)) is an example of a molecule with a trigonal planar geometry as it has a central Boron atom that has three covalent bonds with three fluorine atoms that are located at the corners of an equilateral triangle around the boron atom.
A molecule with a trigonal planar shape has a central atom bonded to three other atoms and has no lone pairs of electrons. The three bonded atoms are arranged in a flat, triangular shape around the central atom.
One example of a molecule with a trigonal planar shape is boron trifluoride \((BF_3).\) In\(BF_3,\)the boron atom is bonded to three fluorine atoms. The bond angles between the boron atom and the three fluorine atoms are approximately 120 degrees, creating a trigonal planar geometry.
Other examples of molecules with a trigonal planar shape include ozone (\(O_3\)) and formaldehyde (\(CH_2O\)). In ozone, the central oxygen atom is bonded to two other oxygen atoms, while in formaldehyde, the central carbon atom is bonded to two hydrogen atoms and one oxygen atom.
It's important to note that molecular geometry is determined by the arrangement of bonded atoms and lone pairs around the central atom. Different molecules can have the same number of atoms but different shapes depending on the arrangement of those atoms.
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