A cylinder contains 50 πΏ of an ideal gas at a pressure of 50 ππ‘π. Assuming that the temperature remains unchanged, the volume of the gas at 1 ππ‘π is __________ πΏ (rounded off to the nearest integer).
Correct Answer: 2500
Solution and Explanation
Using Boyle's law:
\( P_1 V_1 = P_2 V_2, \)
substitute \(P_1 = 50\) atm, \(V_1 = 50\) L, and \(P_2 = 1\) atm:
\( V_2 = \frac{P_1 V_1}{P_2} = \frac{50 \times 50}{1} = 2500 \text{ L}. \)
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