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Phase Transformations

Problem 2.191

One gram of saturated water vapour is enclosed in a thermally insulated cylinder under a weightless piston. The outside pressure being standard, \(m=1.0 \mathrm{~g}\) of water is introduced into the cylinder at a temperature \(t_{0}=22^{\circ} \mathrm{C}\). Neglecting the heat capacity of the cylinder and the friction of the piston against the cylinder's walls, find the work performed by the force of the atmospheric pressure during the lowering of the piston.

Reveal Answer
2.191. \(A=m c\left(T-T_{0}\right) R T / q M=25 \mathrm{~J},\) where \(c\) is the specific heat capacity of water, \(T\) is the initial vapour temperature equal to the water boiling temperature, as is seen from the hypothesis, \(q\) is the specific heat of vapour condensation.