Question #251438

Ammonia weighing 22 kgs is confined inside a cylinder equipped with a piston has an initial pressure of 413 kPa at 38°C. If 2900 kJ of heat is added to the ammonia until its final pressure and temperature are 413 kPa at 100°C, respectively, what is the amount of work done by the fluid in kJ?                                                                             


1
Expert's answer
2021-10-19T15:13:41-0400

P1=P2=413  kPaT1=38  °CT2=100  °CΔT=10038=62  °Cm1=22  kgQ=2900  kJP_1=P_2=413 \;kPa \\ T_1 = 38 \;°C \\ T_2 = 100 \;°C \\ ΔT=100-38=62 \;°C \\ m_1 = 22 \;kg \\ Q = 2900 \;kJ

Work formula

Wnf=P(V2V1)=mR(T2T1)R=RˉMW=8.314514+3(1.298)=0.464  kJ/kgKWnf=22×0.464×62=633.786  kJW_{nf} = P(V_2-V_1) \\ = mR(T_2 -T_1) \\ R = \frac{\bar{R}}{MW} = \frac{8.3145}{14 + 3(1.298)} = 0.464 \;kJ/kg \cdot K \\ W_{nf} = 22 \times 0.464 \times 62 = 633.786 \;kJ

Answer: 633.786 kJ


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS