Suppose a monatomic ideal gas is changed from state A to state D by one of the p
ID: 1386230 • Letter: S
Question
Suppose a monatomic ideal gas is changed from state A to state D by one of the processes shown on the PV diagram below, in which each interval on the vertical (P) axis corresponds to 6 atm, and the values of the lines on the horizontal (V) axis equal 3 L, 6 L, and 12 L.
(a) Find the total work done on the gas if it follows the constant volume path A-B followed by the constant pressure path B-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 dione W is given by the formula W = PdV
where P is pressrue dV is the cnagen in Volume
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for path A-B, Wrok done W = 0
for paths B-C-D,
WorK Done W = 6 * 3 = 18 J
W at C = 6* 6 = 36 J
W at D = 6* 12 = 72 Joules
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total chnage in Enenrgy = 72-0 = 72 J
total flow = dQ = dU + dW
dU = 72 - 18 = 54 J
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