Suppose a monatomic ideal gas is changed from state A to state D by one of the p

Question

Suppose a monatomic ideal gas is changed from stateAto stateDby one of the processes shown on thePVdiagram below, in which each interval on the vertical (P) axis corresponds to9atm, and the values of the lines on the horizontal (V) axis equal5L,10L, and20L.

(a) Find the total work done on the gas if it follows the constant volume pathA-Bfollowed by the constant pressure pathB-C-D.
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(b) Calculate the total change in internal energy of the gas during the entire process and the total heat flow into the gas.

Explanation / Answer

a) Work done on AB = 0 (constant volume) work done on BCD = area under the line = (9*100000)*((20-5)/1000) = 13500 J Total work done on gas = -(0 + 13500) = -13500 J (work is done by the gas, hence work done on the gas will be negative)

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