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(C) The Van't Hoff equation is given by: $\log \frac{K_2}{K_1} = \frac{\Delta H}{2.303 R} \left[ \frac{T_2 - T_1}{T_1 T_2} ight]$Given:$K_1 = 1.2

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$-1652.8$

Vedclass · Answer

(C) The Van't Hoff equation is given by: $\log \frac{K_2}{K_1} = \frac{\Delta H}{2.303 R} \left[ \frac{T_2 - T_1}{T_1 T_2} ight]$Given:$K_1 = 1.2 	imes 10^{-4}$ at $T_1 = 300 \ K$$K_2 = 0.60 	imes 10^{-4}$ at $T_2 = 400 \ K$$R = 1.98 \ cal \ K^{-1} \ mol^{-1}$Substituting the values:$\log \left( \frac{0.60 	imes 10^{-4}}{1.2 	imes 10^{-4}} ight) = \frac{\Delta H}{2.303 	imes 1.98} \left[ \frac{400 - 300}{300 	imes 400} ight]$$\log(0.5) = \frac{\Delta H}{4.56} \left[ \frac{100}{120000} ight]$$-0.301 = \frac{\Delta H}{4.56} 	imes \frac{1}{1200}$$\Delta H = -0.301 	imes 4.56 	imes 1200 \approx -1646 \ cal \ mol^{-1}$.Rounding to the nearest option provided,the result is $-1652.8 \ cal$.

The equilibrium constant $(K_p)$ for the formation of ammonia from its constituent elements at $27^{\circ} C$ is $1.2 \times 10^{-4}$ and at $127^{\circ} C$ is $0.60 \times 10^{-4}$. Calculate the mean heat of formation of ammonia per mole in this temperature range. (in $cal$)

Similar Questions

For the reaction, $2 SO_{2(g)} + O_{2(g)} \rightleftharpoons 2 SO_{3(g)}$ at $300 \ K$, the value of $\Delta G^{\circ}$ is $-690.9 R$. The equilibrium constant value for the reaction at that temperature is ($R$ is gas constant).

The value of $\log \ K$ for the reaction $A \rightleftharpoons B$ at $298 \ K$ is (Nearest integer).
Given: $\Delta H^{\circ} = -54.07 \ kJ \ mol^{-1}$
$\Delta S^{\circ} = 10 \ J \ K^{-1} \ mol^{-1}$
(Take $2.303 \times 8.314 \times 298 = 5705$)

For the reaction $N_{2(g)} + O_{2(g)} \rightleftharpoons 2NO_{(g)}$,the equilibrium constant at temperature $T$ is $4 \times 10^{-4}$. Find the value of $K_c$ for the reaction $NO_{(g)} \rightleftharpoons \frac{1}{2} N_{2(g)} + \frac{1}{2} O_{2(g)}$.

$2NO_2 \rightleftharpoons 2NO + O_2$; $K = 1.6 \times 10^{-12}$. For $NO + \frac{1}{2}O_2 \rightleftharpoons NO_2$,$K' = $

In which of the following reactions is the value of $K_p$ equal to $K_c$?

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