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Q.

A cylinder of fixed capacity of 44.8 litres contains helium gas at standard temperature and pressure. The amount of heat needed to raise the temperature of gas in the cylinder by 20.0^oC will be :
(Given gas constant $R = 8.3 {JK}^{- 1} - {mol}^{- 1}$ )

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a

830 J

b

415 J

c

249 J

d

498 J

answer is C.

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Detailed Solution

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No of moles $= \frac{44.8}{22.4} = 2$
Gas is mono atomic so $C_{V} = \frac{3}{2} R$
$\begin{array}{l} ΔQ = {nC}_{v} ΔT \\ = 2 \times \frac{3}{2} R (20) \\ = 60 R \\ = 60 \times 8 .3 \\ = 498 J \end{array}$

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A cylinder of fixed capacity of 44.8 litres contains helium gas at standard temperature and pressure. The amount of heat needed to raise the temperature of gas in the cylinder by 20.0oC will be :(Given gas constant R=8.3JK−1−mol−1)