Question

	Column I		Column II
a.	Joule- thomson coefficient	p.	${\left(\begin{array}{c}\frac{\partial U}{\partial V}\end{array}\right)}_T=0$
b.	Kirchhoff`s equation	q.	$\left(\begin{array}{c}\frac{2a}{RT}-b\end{array}\right)$
c.	Ideal gas	r.	${\left(\begin{array}{c}\frac{\partial \Delta H}{\partial T}\end{array}\right)}_P=\Delta C_P$
d.	Inversion temperature	s.	${\left(\begin{array}{c}\frac{\partial T}{\partial P}\end{array}\right)}_H=\frac{-(\partial H/\partial P{)}_T}{C_P}$

• A. $(a\to s)$$(b\to r)$$(c\to p)$$(d\to q)$
• B. $(a\to r)$$(b\to s)$$(c\to p)$$(d\to q)$
• C. $(a\to p)$$(b\to r)$$(c\to s)$$(d\to q)$
• D. $(a\to q)$$(b\to p)$$(c\to r)$$(d\to s)$

Answer 1

Answer: (A)

$(a\to s)$$(b\to r)$$(c\to p)$$(d\to q)$

(a) The rate of change of temperture T with respect to pressure P in a joule-Thompson process is the Joule Thompson (Kelvin) coefficient ${\mu }_{jT}$

${\mu }_{jT}={\left(\frac{\partial T}{\partial P}\right)}_H=\frac{V}{C_P}(\alpha T-1)$

(b) Kirchhoff's equation describes the enthalpy of a reaction's variation with temperature changes.

At constant pressure, the heat capacity is equal to change in enthalpy divided by the change in temperature.

${\left(\frac{\partial △H}{\partial T}\right)}_P=△C_P$

(c) For an ideal gas, ${\left(\frac{\partial U}{\partial V}\right)}_T=0$

(d) Inversion temperature is the critical temperature below which a non-ideal gas that is expanding at constant enthalpy will experience a temperature decrease and above which will experience a temperature increase.

$T_{inv}=\frac{2a}{b{k}_B}=\frac{2a}{R_b}$