An ideal gas is taken through a cyclic thermo dynamical process through four steps. The amounts of heat involved in steps are
$Q_{1} = 5960 J, Q_{2} = - 5585 J, Q_{3} = - 2980 J, Q_{4} = 3645 J$ ; respectively, the corresponding works involved are $W_{1} = 2200, W_{2} = - 825 J, W_{3} = - 1100 J$ and $W_{4}$ respectively. Find the value of $W_{4}$ and efficiency of the cycle

Question

An ideal gas is taken through a cyclic thermo dynamical process through four steps. The amounts of heat involved in steps are

Q_{1} = 5960 J, Q_{2} = - 5585 J, Q_{3} = - 2980 J, Q_{4} = 3645 J

; respectively, the corresponding works involved are

W_{1} = 2200, W_{2} = - 825 J, W_{3} = - 1100 J

and

W_{4}

respectively. Find the value of

W_{4}

and efficiency of the cycle

Filo · Accepted Answer

Given;-Q1​=5960J,W1​=2200JQ2​=5585J,W2​=825JQ3​=2980J,W3​=1100JQ4​=3645J,W4​=findη=find ​In cycic process ΔU=0A/q 1st law of thermodynamicsΔQ=ΔU+W⇒+1040=275+W4​⇒W4​=1040−275=765η% =inputoutput​×100=5960+36451040​=1321208​×100Hence, we getη =10.82%

Question Text	An ideal gas is taken through a cyclic thermo dynamical process through four steps. The amounts of heat involved in steps are $Q_{1} = 5960 J, Q_{2} = - 5585 J, Q_{3} = - 2980 J, Q_{4} = 3645 J$ ; respectively, the corresponding works involved are $W_{1} = 2200, W_{2} = - 825 J, W_{3} = - 1100 J$ and $W_{4}$ respectively. Find the value of $W_{4}$ and efficiency of the cycle
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