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Problem $10\mathrm{.}042E-$ Ideal otto cycle with variable specific heats in imperial units

An ideal Otto cycle with air as the working fluid has a compression ratio of $8.$ The minimum and maximum temperatures in the cycle are $540$ and $2,550$ R$.$ Account for the variation of specific heats with temperature. Use data from the tables containing the ideal gas properties of air.

Problem $10\mathrm{.}042$E$.$a $-$ Heat addition in variable heat capacity ideal otto cycle

Determine the amount of heat transferred to the air during the heat$-$addition process.

The amount of heat transferred to the air during the heat$-$addition process is $$ Btu$/$lbm$.$