An ideal gas is initially at temperature $T$ and volume $V.$ Its volume is increased by $\Delta V$ due to an increase in temperature $\Delta T,$ pressure remaining constant. The quantity $\delta = \Delta V/(V\Delta T)$ varies with temperature as
A
B
C
D
IIT 2000, Diffcult
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C
c We know that $V / T =$ constant
$\frac{ V +\Delta V }{ T +\Delta T }=\frac{ V }{ T } \text { or } VT + T \Delta V = VT + V \Delta T$
$\text { or } T \Delta V = V \Delta T \text { or } \frac{\Delta V }{ V \Delta T }=\frac{1}{ T }$
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