Question:
One mole of \(O_2\) gas having a volume equal to \(22.4 \text{ litres}\) at \(0^\circ C\) and 1 atm is compressed isothermally so that its volume reduces to \(11.2 \text{ litres}\). The work done in this process is:
One mole of \(O_2\) gas having a volume equal to \(22.4 \text{ litres}\) at \(0^\circ C\) and 1 atm is compressed isothermally so that its volume reduces to \(11.2 \text{ litres}\). The work done in this process is:
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Isothermal compression always results in negative work done by the gas.
Updated On: Mar 24, 2026
- \(1672.5 \text{ J}\)
- \(1728 \text{ J}\)
- \(-1728 \text{ J}\)
- \(-1572.5 \text{ J}\)
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The Correct Option is D
Solution and Explanation
Step 1: For isothermal process: \[ W = nRT \ln\left(\frac{V_f}{V_i}\right) \]
Step 2: \[ W = (1)(8.314)(273)\ln\left(\frac{11.2}{22.4}\right) \]
Step 3: \[ W = -1572.5 \text{ J} \]
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