State derive an expression for the instantaneous temperature

Reference no: EM13162882

A rigid, well-insulated gas cylinder contains initially Ni moles of an ideal gas at a temperature Ti and pressure Pi. A large pipeline supplies the same gas at a temperature Ti. A valve connecting the pipeline to the tank is opened and gas enters the tank. Show that the maximum temperature attained in the tank is ?Ti, where ? = cp/cv. Derive an expression for the instantaneous temperature as a function of the instantaneous pressure, and use it to sketch T/Ti vs P/Pi.

Reference no: EM13162882

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