Calculate the volume occupied by the gas.

March 16, 2026Physics

ScanSolve AI Answer

March 16, 2026

Answer

0.25 L

Step 1: 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:
$P_1 = 1~atm, \quad V_1 = 1~L, \quad P_2 = 4~atm$

Step 2: Rearrange to solve for the final volume $V_2$ .

$V_2 = \frac{P_1 V_1}{P_2}$

Step 3: Substitute the values.

$V_2 = \frac{(1~atm)(1~L)}{4~atm}$

Step 4: Simplify.

$V_2 = \frac{1~L}{4} = 0.25~L$

Final answer: 0.25 L

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Quick Answer

Use Boyle's law for a gas at constant temperature, where pressure times volume is constant.

Asked on March 16, 2026Physics

This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

ScanSolve AI AnswerAnswered on March 16, 2026

Step 1: 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~atm, V_1 = 1~L, P_2 = 4~atm Step 2: Rearrange to solve for the final volume V_2. V_2 = (P_1 V_1)/(P_2) Step 3: Substitute the values. V_2 = (1~atm)(1~L)4~atm Step 4: Simplify. V_2 = 1~L4 = 0.25~L Final answer: 0.25 L