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Calculate the volume occupied by the gas.

March 16, 2026Physics

ScanSolve AI Answer

Answer

0.25 L

4 steps

Use Boyle's law for a gas at constant temperature, where pressure times volume is constant.
$P_1 V_1 = P_2 V_2$
Given:
$P_1 = 1~\text{atm}, \quad V_1 = 1~\text{L}, \quad P_2 = 4~\text{atm}$
Rearrange to solve for the final volume $V_2$ .
$V_2 = \frac{P_1 V_1}{P_2}$
Substitute the values.
$V_2 = \frac{(1~\text{atm})(1~\text{L})}{4~\text{atm}}$
Simplify.
$V_2 = \frac{1~\text{L}}{4} = 0.25~\text{L}$
Final answer: 0.25 L

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