4 ibm o air is contained within an cylinder of an engine. The ai undergoes four

Question

4 ibm o air is contained within an cylinder of an engine. The ai undergoes four different processes. 1-2 polytropic compession with n=1.4 from (70F, 1atm). 2-3 constant volume process with T3= 1400 F. 3- Polytopic expansion with n=1.4 to V=V1. 4-1 constant volume process.

1. write conservation of mass and energy using "in-out=change". 2. use the given info to put chech marks over values you know how to find. 3- Add additional equations or make assumptions to show the system of equations can be solved. 4-show you know how to look up properties. Show unit conversions. 5-plug and chug numbers to find heat transfer work for each process

Explanation / Answer

for poly tropic process, work done,w=mR/n-1 (T1 - T2) farenheit to kelvin,K= {(F - 32)/1.8} +273 for isochoric process,w= P(v1-v2) mass is constant heat is added in 2-3 and rejected in 4-1 calculate heat added=m*Cp*(T3-T2) heat rejected=m*Cp*(T4-T1) heat added= heat lost + work done P1^(1-n)T1^n=P2^(1-n)T2^n T1V1^(n-1)=T2*V2^(n-1) V2=V3 P2/P3=T2/T3 P1v1=moles*R*T1 P3^(1-n)T3^n=P3^(1-n)T3^n T3V3^(n-1)=T4*V4^(n-1) solve these to get the answer

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