Question

# Helium gas goes through a cycle $$ABC$$ (consisting of two isochoric and isobaric lines) as shown in figure. Efficiency of this cycle is nearly : (Assume the gas to be close to ideal gas)

A
15.4%
B
9.1%
C
10.5%
D
12.5%

Solution

## The correct option is A $$15.4\%$$$$\displaystyle \eta= \frac{Work \ done \ by \ gas}{Heat \ given \ to \ gas}$$Work done by gas = Area under curve= $$P_0V_0$$Heat given by gas= Heat given by gas from $$A$$ to $$B$$ + Heat given by gas from $$B$$ to $$C$$ Heat given by gas= $$nC_v\Delta T$$ + $$nC_p\Delta T$$$$C_p$$ and $$C_v$$ for monoatomic gas is $$\dfrac{5R}{2}$$ and $$\dfrac{3R}{2}$$ respectively.Heat given by gas= $$\dfrac{3}{2}P_0V_0$$ + $$5P_0V_0$$$$\displaystyle \eta= \dfrac{P_0V_0}{\dfrac{3}{2}P_0V_0 + 5P_0V_0}= 15.4 %$$Physics

Suggest Corrections

0

Similar questions
View More

People also searched for
View More