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A closed vessel 10L in volume contains a...

A closed vessel 10L in volume contains a diatomic gas under a pressure of `10^5N//m^2`. What amount of heat should be imparted to the gas to increase the pressure in the vessel five times?

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An ideal gas has a specific heat at constant pressure C_P=(5R)/2 . The gas is kept in a closed vessel of volume 0.0083m^3 , at a temperature of 300K and a pressure of 1.6xx10^6 N//m^2 . An amount of 2.49xx10^4 Joules of heat energy is supplied to the gas. Calculate the final temperature and pressure of the gas.

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Vessel A contains an ideal gas at a pressure 5xx10^(5) Pa and is connected with a heat source which maintains its temperature at 300 K . Another vessel B which has four time greater inner volume contains the same gas at a pressure 10^(5) Pa and is connected to a heat source which maintains its temperature at 400 K . What will be the pressure of entire system if two vessels are connected by a narrow tube tap:-