QuestionJuly 24, 2025

A 0.788 mole sample of ideal gas at 12^circ C occupies a volume of 4.25 L. What is the pressure of the gas? square

A 0.788 mole sample of ideal gas at 12^circ C occupies a volume of 4.25 L. What is the pressure of the gas? square
A 0.788 mole sample of ideal gas at 12^circ C occupies a volume of 4.25 L. What is the pressure of the gas? square

Solution
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Answer

P \approx 4.32 \, atm Explanation 1. Convert Temperature to Kelvin T = 12^{\circ}C + 273.15 = 285.15 \, K 2. Use Ideal Gas Law **PV = nRT** where P is pressure, V is volume, n is moles, R is the ideal gas constant (0.0821 \, L \cdot atm/(mol \cdot K)), and T is temperature in Kelvin. 3. Solve for Pressure P = \frac{nRT}{V} = \frac{0.788 \times 0.0821 \times 285.15}{4.25}

Explanation

1. Convert Temperature to Kelvin<br /> $T = 12^{\circ}C + 273.15 = 285.15 \, K$<br />2. Use Ideal Gas Law<br /> **$PV = nRT$** where $P$ is pressure, $V$ is volume, $n$ is moles, $R$ is the ideal gas constant ($0.0821 \, L \cdot atm/(mol \cdot K)$), and $T$ is temperature in Kelvin.<br />3. Solve for Pressure<br /> $P = \frac{nRT}{V} = \frac{0.788 \times 0.0821 \times 285.15}{4.25}$
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