A three$-$step cycle is undergone by $3\mathrm{.}9$ mol of an ideal diatomic gas: $(1)$ the temperature of the gas is increased from $200$ K to $470$ K at constant volume; $(2)$ the gas is then isothermally expanded to its original pressure; $(3)$ the gas is then contracted at constant pressure back to its original volume. Throughout the cycle, the molecules rotate but do not oscillate. What is the efficiency of the cycle?

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