For one mole of a mono atomic gas, match the following
Column – 1
[Thermo dynamic process]
Column – 2
[Bulk modulus]
Column-3
Slope of P – V graph
(I) Isothermal
(i) Infinity
(P) $- \frac{R T}{V^{2}}$

(II) Adiabatic
(ii) $\frac{5 R T}{3 V}$

(Q) zero
(III) Isobaric
(iii) $\frac{R T}{V}$

(R) Infinity
(IV) Isochoric
(iv) zero
(S) $- \frac{5 R T}{3 V^{2}}$
Pick correct combination for the given matrix

Moderate

Solution

For isochoric process
V = constant
$∴ \frac{dP}{dV} \to \infty ∴ B = - V \frac{dP}{dV} \to \infty$

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Column – 1 [Thermo dynamic process]	Column – 2 [Bulk modulus]	Column-3 Slope of P – V graph
(I) Isothermal	(i) Infinity	(P) $- \frac{R T}{V^{2}}$
(II) Adiabatic	(ii) $\frac{5 R T}{3 V}$	(Q) zero
(III) Isobaric	(iii) $\frac{R T}{V}$	(R) Infinity
(IV) Isochoric	(iv) zero	(S) $- \frac{5 R T}{3 V^{2}}$