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Chapter 26: Problem 13

Based on your answers to CTQ 12, calculate: a) the mass (in grams) of one mole of methane molecules (to two decimal places). Show your work. b) the mass (in grams) of one mole of carbon tetrachloride molecules (to two decimal places). Show your work.

Short Answer

Expert verified
Therefore, the mass of one mole of Methane (CH4) molecules is 16.05 g, and the mass of one mole of Carbon tetrachloride (CCl4) molecules is 153.81 g.

Step by step solution

01

Identify the molar mass of each element

Firstly, get the molar mass of each element in the molecules. The molar mass of Carbon (C) is approximately 12.01 g/mol, that of Hydrogen (H) is 1.01 g/mol, and the molar mass of Chloride (Cl) is 35.45 g/mol. The mole in a chemical substance can be determined using Avogadro's number, which is approximately \(6.022 \times 10^{23}\) entities.
02

Calculate the molar mass of one mole of Methane (CH4) molecules

A Methane molecule (CH4) is composed of one Carbon atom and four Hydrogen atoms. Therefore, the total weight of one mole of Methane (CH4) molecules is given by the sum of the molar mass of one mole of Carbon (C) and four moles of Hydrogen (H). So, the molar mass of methane = Molar mass of Carbon + 4 * Molar mass of Hydrogen = 12.01 g/mol + 4 * 1.01 g/mol = 16.05 g/mol.
03

Calculate the molar mass of one mole of Carbon tetrachloride (CCl4) molecules

A Carbon tetrachloride molecule (CCl4) consists of one Carbon atom and four Chlorine atoms. Thus, the entire mass of one mole of Carbon tetrachloride E(CCl4) molecules is obtained by adding the molar mass of one mole of Carbon (C) and four moles of Chlorine (Cl), i.e. molar mass of carbon tetrachloride = Molar mass of Carbon + 4 * Molar mass of Chlorine = 12.01 g/mol + 4 * 35.45 g/mol = 153.81 g/mol.

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