Question Solved1 Answer Solve 3) The work required to compress a gas reversibly according to pV1.30 =C is 67,790 J, if there is no flow. Determine AU and Q if the gas is (a) air,(b) methane. For methane, k= 1.321, R = 518.45 J/kg.K, cv = 1.6187, cp =%3D%3D2.1377 KJ/kg.K.

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Transcribed Image Text: 3) The work required to compress a gas reversibly according to pV1.30 =C is 67,790 J, if there is no flow. Determine AU and Q if the gas is (a) air,(b) methane. For methane, k= 1.321, R = 518.45 J/kg.K, cv = 1.6187, cp =%3D%3D2.1377 KJ/kg.K.
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Transcribed Image Text: 3) The work required to compress a gas reversibly according to pV1.30 =C is 67,790 J, if there is no flow. Determine AU and Q if the gas is (a) air,(b) methane. For methane, k= 1.321, R = 518.45 J/kg.K, cv = 1.6187, cp =%3D%3D2.1377 KJ/kg.K.
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Step 1Formula'sRelation of the polytropic process.pV^(n)=cP - pressuren-polytropic indexc- ConstantThe amount of heat transferred in terms of workdone on the polytropic process.Q=((k-n)/(k-1))Wk - Specific heatratiow-workdoneQ-Amount of heat transferred.n-poly tropic index.Glculate the amount of heat transfered by theair:{:[Q=((k_("air ")-n)/(k_("air ")-1))w[[" where ",{:[V^(1.30)=c=>n=1.30],[k_(air)=1.4(" constant ")]:}],[W=-67790J]]],[Q=((1.4-1.30)/(1.4-1))(-67790)],[=((0.1)/(0.4))(-67790)],[Q=>-16947.5J" (ov) "-16.9475kJ]:}Step 2Calculate the change in internal energy of t ... See the full answer