A sample of an ideal gas is taken through the cyclic process abca shown below; a

Question

A sample of an ideal gas is taken through the cyclic process abca shown below; at point a, T = 355 K. How many moles of gas are in the sample? mol What is the temperature of the gas at point b? K What is the temperature of the gas at point c? K What is the net energy added to the gas as heat during the cycle? J

Explanation / Answer

a) no. of moles = PV/RT = 2.5*10^3 * 1/(8.314*355) = 0.847 b)PV/T = P'V'/T' =>2.5*1/355 = 7.5*3/T' =>T' = 3195K c)PV/T = P'V'/T' =>7.5*3/3195 = 2.5*3/T' =>T' = 1065K d)net energy added as heat = work done by the gas + change in internal energy = area in the cycle + 0 = 0.5*2*5000 + 0 = 5000J

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