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One mole of ideal gas passes through a process where pressure and volume obey the relation p = p0[1-1/2(V0/V)^2].

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One mole of ideal gas passes through a process where pressure and volume obey the relation p = p0[1-1/2(V0/V)2].  Here P0 and V0 are constants. Calculate the change in the temperature of the gas if its volume changes form V0 to 2V0

(1)  3/4 P0V0/R

(2)   1/2 P0V0/R

(3)    5/4 P0V0/R

(4)    1/4 P0V0/R

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Correct option  (3)    5/4 P0V0/R

Explanation:

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Pressure of an ideal gas is given by P = P0 [1 - 1/2(V0/V)^2]
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