$298\, K$ તાપમાને ${H_2}{O_{\left( g \right)}}$ ની પ્રમાણિત સર્જન એન્થાલ્પી $- 241.82\, kJ\, mol^{-1}$ છે. જો $C_p$ તાપમાનથી સ્વતંત્ર હોય તો $373\, K$ તાપમાને ${H_2}{O_{\left( g \right)}}$ ની સર્જન એન્થાલ્પી જણાવો.

${C_p}$ of ${H_2}{O_{\left( g \right)}}$ $ = 33.58\,J\,{K^{ - 1}}\,mo{l^{ - 1}}$

${C_p}$ of ${H_{2\left( g \right)}}$ $ = 28.84\,J\,{K^{ - 1}}\,mo{l^{ - 1}}$

${C_p}$ of ${O_{2\left( g \right)}}$ $ = 29.37\,J\,{K^{ - 1}}\,mo{l^{ - 1}}$

Question

$298\, K$ તાપમાને ${H_2}{O_{\left( g \right)}}$ ની પ્રમાણિત સર્જન એન્થાલ્પી $- 241.82\, kJ\, mol^{-1}$ છે. જો $C_p$ તાપમાનથી સ્વતંત્ર હોય તો $373\, K$ તાપમાને ${H_2}{O_{\left( g \right)}}$ ની સર્જન એન્થાલ્પી જણાવો.

${C_p}$ of ${H_2}{O_{\left( g \right)}}$ $ = 33.58\,J\,{K^{ - 1}}\,mo{l^{ - 1}}$

${C_p}$ of ${H_{2\left( g \right)}}$ $ = 28.84\,J\,{K^{ - 1}}\,mo{l^{ - 1}}$

${C_p}$ of ${O_{2\left( g \right)}}$ $ = 29.37\,J\,{K^{ - 1}}\,mo{l^{ - 1}}$

A$ - 242.6\,kJ$
B$ + 242.6\,kJ$
C$ + 24.26\,kJ$
D$ - 242.6\,J$

Medium

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Solution

a
$H _{2( g )}+\frac{1}{2} O _{2( g )} \longrightarrow H _2 O _{(g)}$

$\Delta C _{ P }= C _{ P \left( H _2 O \right)}-\left[ C _{ P \left( H _2\right)}+\frac{1}{2} C _{ P \left( O _2\right)}\right]$

$=33.58-\left[28.84+\frac{1}{2}(29.37) \mid\right.$

$=33.58-[28.84+14.68] \quad \Delta C _{ P }=\frac{\Delta H _2-\Delta H _1}{ T _2- T _1}$

$=33.58-43.52\quad\quad \therefore-0.01=\frac{\Delta H _2-(-241.82)}{373-298}$

$=-9.94\,J\,mol\quad \quad \therefore-0.01 \times 75=\Delta H _2-241.82$

$=-0.00994\,kJ\,mol ^{-1}\quad\quad\therefore \Delta 11_2=-0.75-241.82$

$\approx-0.01\,kJ\,mol \quad\quad\quad=-242.6\,kJ$

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