An ideal gas undergoes a cyclic process from point A to point B to C to point D

Question

An ideal gas undergoes a cyclic process from point A to point B to C to point D and back to point A as shown in Figure below The gas begins at a volume of 1.00 L and a pressure of 2.00 atm and expands at constant pressure until the volume is 2.50 L, after which it is cooled at constant volume until its pressure is 1.00 atm. It is then compressed at constant pressure until its volume is again 1.00 L. after which it is heated at constant volume until it is back in its original state. Find a) the total work done on the gas and b) the total heat added to it during the cycle Answer: a) wtotal - 152 J; b) -152 J

Explanation / Answer

total work done = area enclosed by the rectangle ;

Area = ( 2 -1 )atm * ( 2.5 -1 ) L

W = 1 * 101325 Pa * 1.5 * ( 1 e -3 m ^3 )

W = 151.9875 J <------------work done ,

( b)

since the process ends at the point it started , so U= 0 ;

since U is a state property , that depends on state ,

W + q = U ;

W + q = 0 ;

W = - q ;

or q = - W = -151.9875 J

q = -151.9875 <-------------ans

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