Thermodynamics and ThermochemistrymediumMCQ SINGLE

What is the efficiency of a cycle consisting of two isochoric and two adiabatic lines, if the volumeThermodynamics and Thermochemistry Chemistry Question

Question

What is the efficiency of a cycle consisting of two isochoric and two adiabatic lines, if the volume of the ideal gas changes 10 times within the cycle? The working substance is nitrogen. [$(10)^{0.4} = 2.5$]

Answer: C

💡 Solution & Explanation

This describes the Otto cycle. The efficiency is $\eta = 1 - \frac{1}{r^{\gamma-1}}$, where compression ratio $r = 10$ and $\gamma = 1.4$ for $\text{N}_2$. $\eta = 1 - \frac{1}{10^{0.4}} = 1 - \frac{1}{2.5} = 1 - 0.4 = 0.6 = 60\%$.

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