QuestionJune 17, 2025

What volume does 4.53 moles of hydrogen at 1.78 atm and 301 K occupy? () L square

What volume does 4.53 moles of hydrogen at 1.78 atm and 301 K occupy? () L square
What volume does 4.53 moles of hydrogen at 1.78 atm and 301 K occupy? () L square

Solution
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Answer

63.0 L Explanation 1. Use the Ideal Gas Law The formula is **PV = nRT**, where P is pressure, V is volume, n is moles, R is the gas constant, and T is temperature. 2. Solve for Volume Rearrange to **V = \frac{nRT}{P}**. Use R = 0.0821 \text{ L atm K}^{-1} \text{ mol}^{-1}. 3. Substitute Values V = \frac{4.53 \times 0.0821 \times 301}{1.78}.

Explanation

1. Use the Ideal Gas Law<br /> The formula is **$PV = nRT$**, where $P$ is pressure, $V$ is volume, $n$ is moles, $R$ is the gas constant, and $T$ is temperature.<br />2. Solve for Volume<br /> Rearrange to **$V = \frac{nRT}{P}$**. Use $R = 0.0821 \text{ L atm K}^{-1} \text{ mol}^{-1}$.<br />3. Substitute Values<br /> $V = \frac{4.53 \times 0.0821 \times 301}{1.78}$.
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