# Consider a P-V diagram in which the path followed by one mole of perfect gas in a cylindrical container is shown in the figure.a) find the work done when the gas is taken from state 1 to state 2b) what is the ratio of temperature  if $V_{2}=2V_{1}$c) given the internal energy for one mole of gas at temperature T is , find the heat supplied to the gas when it is taken from state 1 to 2 with .

Let  $P_{1}V_{1}^{\frac{1}{2}}=P_BV_B^{\frac{1}{2}}=K$

And

Work done for process 1 to 2;

WD from V1to V2=

1. Equation of ideal gas PV=nRT

and

(c )

$dW=2P_1V_1(\sqrt{2}-1) =2nRT_{1}(\sqrt{2}-1)$

$n=1$

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