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
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a
b
c
d
answer is C.
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Detailed Solution
From ideal gas equation, pV = RT …(i)or p∆V = R∆T …(ii)On dividing Eq. (ii) by Eq. (i), we get ΔVV=ΔTT⇒ΔVVΔT=1T=δ (Given)∴ δ = 1TSo, the graph between δ and T will be rectangular hyperbola.