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
B
2500 K
C
250oC
D
25oC

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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