Practice mode Thermodynamics

In deriving Cp − Cv = R, the work done by one mole of an ideal gas heated through 1 K at constant pressure is shown to equal ____.

Correct answer B. R

Explanation

At constant pressure W = PΔV, and from PV = RT for one mole, PΔV = RΔT. For ΔT = 1 K this work equals R, which is exactly the extra heat Cp needs over Cv.

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