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The internal energy of an ideal diatomic gas corresponding to volume V and pressure P is U = 2.5 PV. The gas expands from I litre to 2 litre at a constant pressure of one atmosphere. The heat supplied to gas is

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350 J

50 J

100 J

250 J

answer is C.

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Detailed Solution

$U = 2.5 PV$

so, $∆ U = 2.5 P ∆ V; Also, W = P ∆ V$

so, Q = $∆ U + W = 3.5 P ∆ V$

$= 3.5 (1 \times 10^{5} {Nm}^{- 2}) (2 - 1) \times 10^{- 3} m^{3}$

= 350 J

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