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Q.

A cylinder of fixed capacity 44.8 litres contains a monoatomic gas at standard temperature and pressure. The amount of heat required raise temperature of cylinder by 100C will be

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a

R

b

10R

c

20R

d

30R

answer is D.

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Detailed Solution

22.4 litre makes 1 mole of any gas   number of moles =μ=44.8/22.4=2raise in temperature = ΔT=100C; cylinder has fixed volume∴amount of heat required at constant volume=QV=μCVΔT=2×(3/2)R_×10=30R
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