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Question

An ideal gas is initially at temperature T and volume V. Its volume is increased by ΔV due to an increase in temperature ΔT, pressure remaining constant. The quantity δ=ΔVVΔT varies with temperature as

A
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B
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C
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D
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Solution

The correct option is C
For a given mass of gas at constant pressure,
VT=Constant
V+ΔVT+ΔT=VT
or
VT+VΔT=VT+TΔV
or
VΔT=TΔV
or
1T=ΔVVΔT
or
1T=δ
or
δT=1
This equation represents a rectangular hyperbola of the form xy=1.
Hence the δT variation is represented by graph given in (c).

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