First slide

laws

Question

An ideal gas is initially at temperature T and volume V. Its volume is increased by $∆$ V due to an increase in temperature $∆$ T, pressure remaining constant. The quantity $δ = ∆ V / (V ∆ T)$ varies with temperature as

Moderate

A
B
C
D

Solution

From ideal gas equation, pV = RT …(i)
or p $∆$ V = R $∆$ T …(ii)
On dividing Eq. (ii) by Eq. (i), we get
$\frac{Δ V}{V} = \frac{Δ T}{T} \Rightarrow \frac{Δ V}{V Δ T} = \frac{1}{T} = δ$ (Given)
$∴$ $δ = \frac{1}{T}$
So, the graph between $δ$ and T will be rectangular hyperbola.

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