Four moles of a gas expand isothermally at 300 K. If the final pressur

1.	Four moles of a gas expand isothermally at 300 K. If the final pressure of the gas is 80% of the initial pressure, find the work done by the gas on its surroundings. (R = 8.314 J/mol.K)
Answer» Data : n = 4, T = 300 K, P_f= 0.8 P_i \(\therefore\) \(\frac{P_i}{P_f}\) = \(\frac{10}8\), R = 8.314 j/mol.K The work done by the gas on its surroundings, W = nRT ln \((\frac{P_i}{P_f})\) = (4) (8.314) (300) 2.303 log₁₀ \((\frac{10}8)\) = 2.3 × 10⁴ log₁₀ (1.25) = 2.3 × 10⁴ × 0.0969 = 2.229 × 10³ J

Four moles of a gas expand isothermally at 300 K. If the final pressure of the gas is 80% of the initial pressure, find the work done by the gas on its surroundings. (R = 8.314 J/mol.K)

Answer»

Data : n = 4, T = 300 K, P_f= 0.8 P_i

\(\therefore\) \(\frac{P_i}{P_f}\) = \(\frac{10}8\), R = 8.314 j/mol.K

The work done by the gas on its surroundings, W = nRT ln \((\frac{P_i}{P_f})\)

= (4) (8.314) (300) 2.303 log₁₀ \((\frac{10}8)\)

= 2.3 × 10⁴ log₁₀ (1.25) = 2.3 × 10⁴ × 0.0969

= 2.229 × 10³ J

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Four moles of a gas expand isothermally at 300 K. If the final pressure of the gas is 80% of the initial pressure, find the work done by the gas on its surroundings. (R = 8.314 J/mol.K)

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