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PØ. During an experiment, an ideal gas is found to obeyadditional law p/V2 constant. The gas is initiall-temperature T and volume V. The temperature at whicexpands to a volume 2V, is(1) 2T(2) 8T(3) 4T16 |
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Answer» We are given an IDEAL gas which is FOLLOWING an additional law, PV 2 = a constant ....................(1) As the gas is ideal, the gas law is PV=nRT Taking the value of P from the above equation, we get P= V nRT
Putting this value in equation (1), we get V nRT(V) 2
= constant As n and R are constant, above equation becomes, TV= a constant .....................(2) Now, the gas is expanding from INITIAL volume V 1
to final volume V 2
by 2 units, it becomes V 2
=2V 1
From equation (2), we get T 1
V 1
=T 2
V 2
T 1
V 1
=T 2
(2V 1
) T 2
= 2 T 1
So the correct answer is 2 T
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