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Phase Transformations

Problem 2.190

Water of mass m=20 gm=20 \mathrm{~g} is enclosed in a thermally insulated cylinder at the temperature of 0∘C0^{\circ} \mathrm{C} under a weightless piston whose area is S=410 cm2S=410 \mathrm{~cm}^{2}. The outside pressure is equal to standard atmospheric pressure. To what height will the piston rise when the water absorbs Q=20.0 kJQ=20.0 \mathrm{~kJ} of heat?

Reveal Answer
2.190. h≈(Q−mcΔT)p0S(1+qM/RT)=20 cm,h \approx \frac{(Q-m c \Delta T)}{p_{0} S(1+q M / R T)}=20 \mathrm{~cm}, where cc is the specific heat capacity of water, ΔT=100 K,q\Delta T=100 \mathrm{~K}, q is the specific heat of vaporization of water, TT is its boiling temperature.
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