Thermodynamics Question 251

Question: A closed system undergoes a process $ 1\to 2 $ for which the values $ {W _{1-2}} $ and $ {Q _{1-2}} $ are 50 kJ and - 20 kJ respectively. If the system is returned to state 1 and $ {Q _{1\to 2}}+10kJ $ the work done $ {W _{1\to 2}} $ is

Options:

A) 40 kJ

B) 50 kJ

C) -60 kJ

D) -50 kJ

Show Answer

Answer:

Correct Answer: C

Solution:

[c] $ -20=\Delta U+50\Rightarrow \Delta U=-70. $

$ \text{From }2\to 1,\Delta U=70kJ. $

$ \text{Now }10=70+W\Rightarrow W=-60kJ. $



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