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Question

The pressure (P) and absolute temperature (T) of an ideal gas are related to each other as P1T2. If temperature of gas is 300 K and its volume changes from V to 8 V, then find the final temperature of gas

A
600 K
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B
300 K
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C
373 K
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D
273 K
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Solution

The correct option is A 600 K
Solution:
Pressure ,P α1T2(Given)
P=kT2
We know, from the ideal gas equation,
PV= nRT
kT2×V=nRT
V=nRT3k
VαT3
Therefore, V1V2=T31T32
V8V=3003T32
T32=300×300×300×8
T2=(300×300×300×8)1/3
Therefore, T2=300×2= 600 K
Hence, option A is correct.


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