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Question

When an ideal gas filled in a closed vessel is heated through 1oC, 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, pV=nRT . . . . . (1)

After heating: 1.004pV=nR(T+1) . . . . . . (2)

Dividing (1) by (2), we get

11.004=TT+1

0.004T=1

T=250 K

Hence, Option "A" is the correct answer.

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