Calculate the heat involved in a reaction for the isothermal expansion of one mole of a ideal gas at 27o C from a volume of 50 L to 100 L.
A
Q = 159 J
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B
Q = 2294 J
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C
Q = 1729 J
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D
Q = 2197 J
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Solution
The correct option is CQ = 1729 J Since the process is isothermal. ΔU=0 W = −2.303nRTlogV2V1 where V2 and V1 is the final and initial volume respectively. n = moles of ideal gas W = −2.303×8.314×300log10050 W = −1729J From the first law, ΔU=Q+W Q=−W = 1729 J