QuestionAugust 4, 2025

1. If I have 4 moles of a gas at a pressure of 5.6 atm and a volume of 12 liters, what is the temperature?

1. If I have 4 moles of a gas at a pressure of 5.6 atm and a volume of 12 liters, what is the temperature?
1. If I have 4 moles of a gas at a pressure of 5.6 atm and a volume of 12 liters, what is the
temperature?

Solution
4.2(211 votes)

Answer

T \approx 204.88 \, \text{K} Explanation 1. Identify the formula Use the Ideal Gas Law: **PV = nRT**. 2. Rearrange for temperature Solve for T: T = \frac{PV}{nR}. 3. Substitute known values P = 5.6 \, \text{atm}, V = 12 \, \text{L}, n = 4 \, \text{moles}, R = 0.0821 \, \text{L atm/mol K}. 4. Calculate temperature T = \frac{(5.6)(12)}{(4)(0.0821)}.

Explanation

1. Identify the formula<br /> Use the Ideal Gas Law: **$PV = nRT$**.<br />2. Rearrange for temperature<br /> Solve for $T$: $T = \frac{PV}{nR}$.<br />3. Substitute known values<br /> $P = 5.6 \, \text{atm}$, $V = 12 \, \text{L}$, $n = 4 \, \text{moles}$, $R = 0.0821 \, \text{L atm/mol K}$.<br />4. Calculate temperature<br /> $T = \frac{(5.6)(12)}{(4)(0.0821)}$.
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