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Question

Find the amount of work done to increase the temperature of one mole of ideal gas by 30oC. if it is expanding under the condition V μ T2/3 (R = 8.31 J/mol - K) :

Options

A.16.62 J
B.166.2 J
C.1662 J
D.1.662 J

Solution

(B)
V = kT2/3
dV =
W = dV
= R dV = R R(T2 − T1)
= R  (30) = 20 (8.31) = 166.2 J

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