A gas mixture contains 20 cm3 of H2, 35 cm3 of O2, 15 cm3 of CO, and 10 cm3 of N2. Calculate the mole…

Question

A gas mixture contains 20 cm3 of H2, 35 cm3 of O2, 15 cm3 of CO, and 10 cm3 of N2. Calculate the mole fraction of hydrogen in the mixture at S.T.P.

ScanSolve AI Tutor · Accepted Answer

To find the mole fraction of hydrogen, we first need to calculate the total volume of the gas mixture. At S.T.P., the number of moles of a gas is directly proportional to its volume, so we can use volumes instead of moles to calculate the mole fraction.

Calculate the total volume of the gas mixture.
$\text{Total volume} = \text{Volume of H}_2 + \text{Volume of O}_2 + \text{Volume of CO} + \text{Volume of N}_2$ $\text{Total volume} = 20 \text{ cm}^3 + 35 \text{ cm}^3 + 15 \text{ cm}^3 + 10 \text{ cm}^3$ $\text{Total volume} = 80 \text{ cm}^3$
Calculate the mole fraction of hydrogen.
$\text{Mole fraction of H}_2 = \frac{\text{Volume of H}_2}{\text{Total volume}}$ $\text{Mole fraction of H}_2 = \frac{20 \text{ cm}^3}{80 \text{ cm}^3}$ $\text{Mole fraction of H}_2 = \frac{1}{4}$ $\text{Mole fraction of H}_2 = 0.25$
Comparing this with the given options:
A. 0.02
B. 0.16
C. 0.20
D. 0.25

The correct option is D.

The mole fraction of hydrogen in this mixture is $\boxed{\text{D. 0.25}}$ .

A gas mixture contains 20 cm3 of H2, 35 cm3 of O2, 15 cm3 of CO, and 10 cm3 of N2. Calculate the mole fraction of hydrogen in the mixture at S.T.P.

Answer

Step-by-step solution

Calculate the total volume of the gas mixture.

Calculate the mole fraction of hydrogen.

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