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Q.

A cylinder of fixed capacity (of 44.8 L) contains 2 mol of helium gas at STP. What is the amount ofheat needed to raise the temperature of the gas in the cylinder by 20°C? (Take, R = 8.31J mol-1K-1)

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a

996 J

b

831 J

c

499 J

d

374 J

answer is C.

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Detailed Solution

Since, the volume of cylinder is fixed and helium is a monoatomic gas.The internal energy = μCVΔT⇒ U=12fμRΔT ∵CV=12fRU=12×3×2×8.31×20 (∵f=3)=498.6≈499J

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