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A cylinder of fixed capacity 44.8 litre contains a monatomic gas at standard temperature and pressure. The amount of heat required to raise the temperature of gas in cylinder by 10^oC will be. (R = universal gas constant)

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10R

20R

30R

answer is D.

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Detailed Solution

As we know, 1 mol of any ideal gas at STP occupies a volume of 22.41itres.

Hence, number of moles of gas $μ = \frac{44 .8}{22 .4} = 2$

Since the volume of cylinder is fixed,

Hence $d Q = n c_{V} d T$

$= 2 \times \frac{3}{2} R \times 10 = 30 R (∵ {(C_{V})}_{mono} = \frac{3}{2} R)$

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