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Question

Air is filled at 60C in a vessel of open mouth. The vessel is heated to a temperature T so that 14th part of air escapes. The value of T is :

A
80oC
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B
444oC
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C
333oC
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D
171oC
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Solution

The correct option is B 444oC
PV=nRT

No. of mass=n=mM=given massmolar mass

Air is filled at 60°C in a vessel of open mouth.

Open mouth means constant pressure.

Given, the volume is constant.

PV=mMRT

T1M

T1=607273=333

After heating, 14th of air escapes.

m1=m; then m2=34m

T1T2=m2m1

333T2=m(34)mT2=444

Value of T2 is 444 Kelvin or 171°C

Therefore, the correct option is B.

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