Question:
At 300 K, 3.0 moles of an ideal gas at 3.0 atm pressure is compressed isothermally to one half of its volume by an external pressure of 6.0 atm. The work done (in kJ) is:
At 300 K, 3.0 moles of an ideal gas at 3.0 atm pressure is compressed isothermally to one half of its volume by an external pressure of 6.0 atm. The work done (in kJ) is:
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Remember, the work done on the gas is positive since it is compressed, indicating work is done on the system.
Updated On: Mar 17, 2025
- 7.476
- 11.214
- 3.738
14.952
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The Correct Option is A
Solution and Explanation
The work done on an ideal gas during isothermal compression can be calculated using the formula \( W = nRT \ln\left(\frac{V_i}{V_f}\right) \). Given the initial and final pressures and using the ideal gas law to find volumes, calculate the work done in the process.
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