In an adiabatic change the pressure and ...

In an adiabatic change the pressure and temperature of monoatomic gas are related as `P prop T^(c )` where C equal

`3/5`

`5/3`

`2/5`

`5/2`

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On mole of a monoatomic ideal gas is taken through the cycle shown in figure . A rarr B : Adiabatic expansion " " BrarrC : Cooling at constant volume CrarrD : Adiabatic compression " " D rarr A : Heating at constant volume The pressure and temperature at A , B , etc, are denoted by P_(A) , T_(A) , P_(B) , T_(B) etc., respectively . Given that T_(A) = 1000K, P_(B) = ((2)/(3))P_(A)"and"P_(C) = ((1)/(3))P_(A) . Calculate the following quantities: (i) The work done by the gas in the processs A rarr B (ii) The heat lost by the gas in the process B rarr C (iii) The temperature T_(D). ("Given" : ((2)/(3))^(2//5) = 0.85 )

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