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The pressure of a monoatomic gas increases linearly from $4 \times 10^{5} P a t o 8 \times 10^{5} P a$ when its volume increases from 0.2 $m^{3}$ to 0.5 $m^{3}$ then increase in internal energy in joule is

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Correct option is A

Change in internal energy of a gas is given by ∆U =nCvdT= nRγ-1T2-T1=P2V2-P1V1γ-1 As the gas is monoatomic, g = 5/3 So ∆U=1058×0.5-4×0.253-1=32×3.2×105=4.8×105

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The pressure of a monoatomic gas increases linearly from 4×105 Pa to 8×105 Pa when its volume increases from 0.2 m3 to 0.5m3 then increase in internal energy in joule is

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The pressure of a monoatomic gas increases linearly from $4 \times 10^{5} P a t o 8 \times 10^{5} P a$ when its volume increases from 0.2 $m^{3}$ to 0.5 $m^{3}$ then increase in internal energy in joule is