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The work done in expansion of an ideal gas from an initial volume v1 to a final v2

The work done in expansion of an ideal gas from an initial volume v1 to a final v2 litres against a pressure of 1atm at 300 K is

Options

(a) 2.303 R ˣ 300 log (v2/v1)
(b) 2.303 R ˣ 300 log (v1/v2)
(c) 1 atm ˣ (v2-v1) litre
(d) zero

Correct Answer:

2.303 R ˣ 300 log (v2/v1)

Explanation:

W = nRT ln V₂/V₁, V₁ = initial volume, V₂ = final volume, T = temperature, R = gas constant.

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