Figure (a) shows a cylinder containing 5.00 moles of an ideal gas and closed by

Question

Figure (a) shows a cylinder containing 5.00 moles of an ideal gas and closed by a movable piston. The cylinder is kept submerged in an ice-water mixture. A cycle of 3 steps is completed: (A) the piston is very quickly pushed down from position 1 to position 2, and then (B) held at position 2 until the gas is again at the temperature of the ice-water mixture, then (C) it is slowly raised back to position 1. Figure (b) is a P-V diagram for the process. The volume of the cylinder with the piston in position 1 is 4 times the volume with the piston in position 2 (V_1 = 4V_2 in figure (b)). (a) If 100 g of ice is melted during the cycle, how much work has been done on the gas? (b) What is the work done on the gas in step (A)? (c) What is the heat transferred to the gas in step (B)?

Explanation / Answer

part a )

we know energy release when ice change into water

Q = m*Lf

Q = 100 * 333 J/g = 33.3 kJ

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