Suppose 1.0 mol of a monatomic ideal gas initially at 10 L and316 K is heated at

Question

Suppose 1.0 mol of a monatomic ideal gas initially at 10 L and316 K is heated at constant volume to632 K, allowed to expand isothermally toits initial pressure, and finally compressed at constant pressureto its original volume, pressure, and temperature. (a) What is the net energy entering the system(the gas) as heat during the cycle?
1 J

(b) What is the net work done by the gas during the cycle?
2 J

(c) What is the efficiency of the cycle?
3%

• Read the eBook
• • Section 20.9 Additional Problems

(a) What is the net energy entering the system(the gas) as heat during the cycle?
1 J

(b) What is the net work done by the gas during the cycle?
2 J

(c) What is the efficiency of the cycle?
3%

• Read the eBook
• • Section 20.9 Additional Problems

Explanation / Answer

equation for ideal gases: P1*V1=nRT1Work done by gas onthe cycle W=RT2*ln(V3/V1){work down byisothermal process} + P1*(V1-V3) T2=632 K; P2/T2=P1/T1=>P2=2P1 P2V2=P1V3=>V3=2*V2=2V1 => W=RT2*ln(T2/T1)-R*T1=1014.4 J energy entered when the gas undergoes constant volume &isothermal processes Q=R*T2ln2 +3/2*R*(632-316)=7579.3 J efficiency: e=W/Q=13.38 %

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