A cylinder containing a gas is closed by a movable piston and submerged in an ice bath (figure 3.112). The piston is quickly pushed down from position 1 to position 2 and held there until the gas is a

Question

A cylinder containing a gas is closed by a movable piston and submerged in an ice bath (figure 3.112). The piston is quickly pushed down from position 1 to position 2 and held there until the gas is again at $0^{\circ}$ C, then slowly raised back to position 1. Represent the whole process on a $p$ - $V$ diagram. If $m = 100$ g of ice are melted during the cycle, how much work is done on the gas? Latent heat of ice = $80$ cal $g^{- 1}$ .

TestHub · Accepted Answer

The gas returns to its initial state, so Δ U = 0 and the net work done on the gas equals the heat given to the ice: W = m L = 100 × 80 = 8000 cal. Diagram: adiabatic compression 1 to 2 (steep), cooling at constant volume to 0 ∘ C, then isothermal expansion back to 1.

Physics - Heat & Thermo Question with Solution | TestHub

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