A monoatomic ideal gas is taken through the cycle A rightarrow B rightarrow C ri

Question

A monoatomic ideal gas is taken through the cycle A rightarrow B rightarrow C rightarrow A shown in the figure. Express all the answers below in terms of p_0 and V_0. Find the work W_A rightarrow B done by the gas during process A rightarrow B. Find the heat Q_A rightarrow B flowing into the gas during the process A rightarrow B. Find the work W_b rightarrow c done by the gas during the process B rightarrow C. Find the heat Q_B rightarrow C flowing into the gas during the process B - C. Find the work done by the gas during process C rightarrow A. Find the network W done by the gas in the cycle. Find the heat Q_c rightarrow a flowing into the gas during the process C rightarrow A. Find the net heat Q flowing into the gas in the complete cycle

Explanation / Answer

a) work done ,WAB = 3Po * (5Vo - 2Vo) = 9PoVo

b) Heat flowing , QAB = (45/2)PoVo

c)     work done ,WBC =   0 J

d)    Heat flowing , QBC = 15PoVo

e)    work done ,WCA =   - 6PoVo

f)   Net work done by gas in cycle = 9PoVo - 6PoVo = 3PoVo

g)    Heat flowing , QCA =   - PoVo

h) net heat flowing complete cycle = (45/2)PoVo + 15PoVo - PoVo

                                                        = (73/2)PoVo

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