The allowable concentration level of vinyl chloride, C 2 H 3 Cl, in the atmosphere in a chemical plant is 2.0×10 −6 g/L. How many moles of vinyl chloride in each liter does this represent?

Hi everyone today, we have a question telling us that in 2021 the concentration of carbon dioxide in the atmosphere is 0.4159, g/l. And our goal here is to calculate the concentration of carbon dioxide in moles per liter. So first we need to calculate the molar mass of carbon dioxide. So we have carbon Which is 12.01 and we only have one of it and we have oxygen which is 16 and we have two of them. So that equals .01g of carbon dioxide. Now we can use our 0. 597 g of carbon dioxide that was given to us in the prompt and that is per leader. And we're going to multiply that by one mole of carbon dioxide over 44 .01 g of carbon dioxide. So are grams of carbon dioxide are canceling out And that's leaving us with zero . moles of carbon dioxide per leader. And if we want, we can put that into scientific notation, we will move the decimal point 12, 3 places to the right. So that would be 9.45 Times 10 to the -3 moles of carbon dioxide per leader. And that is our final answer. Thank you for watching. Bye.

Ch.3 - Chemical Reactions and Reaction Stoichiometry

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Brown 14th Edition

Ch.3 - Chemical Reactions and Reaction Stoichiometry

Problem 43a

Chapter 3, Problem 43a

The allowable concentration level of vinyl chloride, C₂H₃Cl, in the atmosphere in a chemical plant is 2.0×10⁻⁶ g/L. How many moles of vinyl chloride in each liter does this represent?

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First, identify the molar mass of vinyl chloride, C₂H₃Cl. To do this, sum the atomic masses of each element in the compound: Carbon (C) = 12.01 g/mol, Hydrogen (H) = 1.008 g/mol, and Chlorine (Cl) = 35.45 g/mol.

Calculate the molar mass of vinyl chloride by adding the masses of each element multiplied by their respective number of atoms in the molecule: Molar mass of C₂H₃Cl = (2 \times 12.01) + (3 \times 1.008) + 35.45 g/mol.

Convert the given concentration from grams per liter to moles per liter using the molar mass. Use the formula: Moles = Mass (g) / Molar Mass (g/mol).

Substitute the allowable concentration (2.0⨉10⁻⁶ g/L) and the calculated molar mass into the formula to find the number of moles of vinyl chloride per liter.

This calculation will give you the concentration of vinyl chloride in moles per liter, which represents the number of moles of vinyl chloride in each liter of atmosphere at the chemical plant.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). For vinyl chloride (C2H3Cl), the molar mass can be calculated by summing the atomic masses of its constituent elements: carbon (C), hydrogen (H), and chlorine (Cl). This value is essential for converting between grams and moles, which is necessary for solving the given problem.

Concentration

Concentration refers to the amount of a substance (solute) present in a given volume of solution or mixture. In this case, the concentration of vinyl chloride is given in grams per liter (g/L). Understanding how to interpret and manipulate concentration units is crucial for determining the number of moles from the provided mass concentration.

Avogadro's Number

Avogadro's number, approximately 6.022 x 10^23, is the number of particles (atoms, molecules, etc.) in one mole of a substance. This constant allows chemists to relate the macroscopic scale of substances (grams, liters) to the microscopic scale (molecules, atoms). In this problem, it will be used to convert the calculated moles of vinyl chloride into the number of molecules if needed.

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Avogadro's Law

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The allowable concentration level of vinyl chloride, C₂H₃Cl, in the atmosphere in a chemical plant is 2.0⨉10⁻⁶ g/L. How many molecules per liter?

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The allowable concentration level of vinyl chloride, C2H3Cl, in the atmosphere in a chemical plant is 2.0×10−6 g/L. How many moles of vinyl chloride in each liter does this represent?

Verified video answer for a similar problem:

Key Concepts

Molar Mass

Concentration

Avogadro's Number

The allowable concentration level of vinyl chloride, C₂H₃Cl, in the atmosphere in a chemical plant is 2.0×10⁻⁶ g/L. How many moles of vinyl chloride in each liter does this represent?