QuestionJuly 11, 2025

What is the volume of 139 gof H_(2)O vapor at 167^circ C and 1.00 atm? square L

What is the volume of 139 gof H_(2)O vapor at 167^circ C and 1.00 atm? square L
What is the volume of 139 gof H_(2)O vapor at 167^circ C and 1.00 atm?
square  L

Solution
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Answer

112.7 L Explanation 1. Convert mass to moles Use the molar mass of H_2O, which is 18.015 g/mol. Calculate moles: \text{moles} = \frac{139 \, \text{g}}{18.015 \, \text{g/mol}}. 2. Apply Ideal Gas Law Use **PV = nRT**. Given P = 1.00 \, \text{atm}, R = 0.0821 \, \text{L atm/mol K}, and T = 167^{\circ}C + 273.15 = 440.15 \, \text{K}. Solve for V: V = \frac{nRT}{P}.

Explanation

1. Convert mass to moles<br /> Use the molar mass of $H_2O$, which is 18.015 g/mol. Calculate moles: $\text{moles} = \frac{139 \, \text{g}}{18.015 \, \text{g/mol}}$.<br />2. Apply Ideal Gas Law<br /> Use **$PV = nRT$**. Given $P = 1.00 \, \text{atm}$, $R = 0.0821 \, \text{L atm/mol K}$, and $T = 167^{\circ}C + 273.15 = 440.15 \, \text{K}$. Solve for $V$: $V = \frac{nRT}{P}$.
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