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Question

When an ideal gas filled in a closed vessel is heated through $$1^{o}C$$, its pressure increases by $$0.4\%$$, the initial temperature of the gas was


A
250 K
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B
2500 K
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C
250oC
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D
25oC
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Solution

The correct option is A $$250\ K$$
Iniially, $$\mathrm{pV=nRT}$$ . . . . . (1)

After heating: $$\mathrm{1.004pV = nR(T+1)}$$ . . . . . . (2)

Dividing (1) by (2), we get

$$\mathrm{\cfrac{1}{1.004} = \cfrac{T}{T+1}}$$

$$\mathrm{\implies 0.004T = 1}$$

$$\mathrm{\implies T = 250 \ K}$$

Hence, Option "A" is the correct answer.

Chemistry

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