Question:medium

A sample of an ideal gas occupies 10 liters at a pressure of 2 atm and a temperature of 300 K. What is the volume of the gas at 1 atm pressure and 300 K temperature?

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Remember: Boyle’s law states that for a fixed amount of gas at constant temperature, the volume is inversely proportional to the pressure. Decreasing pressure increases the volume.
Updated On: Nov 26, 2025
  • 5 L
  • 10 L
  • 20 L
  • 40 L
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The Correct Option is B

Solution and Explanation

Step 1: Apply Boyle's Law for Volume Calculation Boyle's Law establishes an inverse relationship between pressure and volume for a fixed amount of gas at constant temperature:\[P_1 V_1 = P_2 V_2\]Variables:- \( P_1 \) and \( V_1 \) represent initial pressure and volume.- \( P_2 \) and \( V_2 \) represent final pressure and volume.Step 2: Input Provided Data Data:- Initial pressure \( P_1 = 2 \, \text{atm} \),- Initial volume \( V_1 = 10 \, \text{L} \),- Final pressure \( P_2 = 1 \, \text{atm} \),- \( V_2 \) is the unknown final volume.Integration into Boyle's Law:\[2 \times 10 = 1 \times V_2\]\[V_2 = 20 \, \text{L}\]Conclusion: The gas volume is \( 20 \, \text{L} \) at 1 atm and 300 K. This corresponds to option (3).
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