Calculate fGoin kJmol-1 for NH4Cl- s at 310 K- Given - fHo NH4Cl- s - - 314-5 kJmol-1- r Cp - 0So N2g- 192 JK-1 mol-1- So H2g - 130-5 JK-1 mol-1-So Cl2 g - 233 JK-1 mol-1- So NH4Cls - 99-5 JK-1 mol-1All given data are at 300 K-

Given : _fH^o (NH_4Cl, s) = 314.5 kJ/mol; _r C_p = 0 S^o _N_2 = 192 JK^ 1 mol^ 1; S^o _H_2 = 130.5 JK^ 1 mol^ 1; S^o _Cl_2 = 233 JK^ 1 mol^ 1; ...

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Standard XII

Chemistry

Heat of Formation

Calculate fGo...

Question

Calculate $△_{f} G^{o}$ in $k J m o l^{- 1}$ for $(N H_{4} C l, s)$ at 310 K.
Given : $△_{f} H^{o} (N H_{4} C l, s) = - 314.5 k J m o l^{- 1}; △_{r} C_{p} = 0$

$S_{N_{2} (g)}^{o} = 192 J K^{- 1} m o l^{- 1}; S_{H_{2} (g)}^{o} = 130.5 J K^{- 1} m o l^{- 1};$
$S_{C l_{2}}^{o} (g) = 233 J K^{- 1} m o l^{- 1}; S_{N H_{4} C l (s)}^{o} = 99.5 J K^{- 1} m o l^{- 1}$

All given data are at 300 K.

- 198.56

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Solution

The correct option is A $- 198.56$
Given : $△_{f} H^{o} (N H_{4} C l, s) = - 314.5 k J / m o l; △_{r} C_{p} = 0$

$S_{N_{2}}^{o} = 192 J K^{- 1} m o l^{- 1}; S_{H_{2}}^{o} = 130.5 J K^{- 1} m o l^{- 1};$

$S_{C l_{2}}^{o} = 233 J K^{- 1} m o l^{- 1}; S_{N H_{4} C l}^{o} = 99.5 J K^{- 1} m o l^{- 1}$

$△_{f} S^{o} (N H_{4} C l, s) a t 300 K$

$= S_{N H_{4} C l (s)} - [\frac{1}{2} S_{N_{2}} (g) + 2 S_{H_{2}} (g) + \frac{1}{2} S_{C l_{2}} (g)]$
$= - 374 J K^{- 1} m o l^{- 1}$

$△_{f} C_{P} = 0$

$△_{f} S_{310}^{o} = △_{f} S_{300}^{o}$
$= - 374 J K^{- 1} m o l^{- 1}$

$△_{f} H_{310}^{o} = △_{f} H_{300}^{o} = - 314.5$
$△ G_{310}^{o} = △_{f} H^{o} - 310 △ S^{o}$
$= - 314.5 - \frac{310 (- 374)}{1000} = - 198.56 k J / m o l .$

hence, $△_{f} G^{o} = - 198.56 k J m o l^{- 1}$

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Similar questions

Q. The

Δ_{f} G^{\circ}

for

(N H_{4} C l, s)

310 K

- x {kJ mol}^{- 1}

.
Given:

Δ_{f} H^{\circ} (N H_{4} C l, s) = - 314.5 {kJ mol}^{- 1}; Δ_{r} C_{P} = 0 S_{N_{2} (g)}^{\circ} = 192 {J K}^{- 1} {mol}^{- 1}; S_{H_{2} (g)}^{\circ} = 130.5 {J K}^{- 1} {mol}^{- 1} S_{C l_{2} (g)}^{\circ} = 223 {J K}^{- 1} {mol}^{- 1}; S_{N H_{4} C l (s)}^{\circ} = 99.5 {J K}^{- 1} {mol}^{- 1}

All given data at

300 K

. Find the magnitude of

x

Q. Calculate

Δ_{f} G^{\circ}

for

(N H_{4} C l, (s))

300 K

.
Given:

Δ_{f} H^{\circ} (N H_{4} C l, s) = - 314.5 k J / m o l : Δ_{r} C_{p} = 0

S_{N_{2} (g)}^{\circ} = 192 J K^{- 1} m o l^{- 1}; S_{H_{2} (g)}^{\circ} = 130.5 J K^{- 1} m o l^{- 1} S_{C l_{2} (g)}^{\circ} = 233 J K^{- 1} m o l^{- 1}; S_{N H_{4} C l (s)}^{\circ} = 99.5 J K^{- 1} m o l^{- 1}

All given data at

300 K

Q. Calculate

△_{f} G^{o}

k J m o l^{- 1}

for

(N H_{4} C l, s)

at 310 K.
Given :

△_{f} H^{o} (N H_{4} C l, s) = - 314.5 k J m o l^{- 1}; △_{r} C_{p} = 0

S_{N_{2} (g)}^{o} = 192 J K^{- 1} m o l^{- 1}; S_{H_{2} (g)}^{o} = 130.5 J K^{- 1} m o l^{- 1};

S_{C l_{2}}^{o} (g) = 233 J K^{- 1} m o l^{- 1}; S_{N H_{4} C l (s)}^{o} = 99.5 J K^{- 1} m o l^{- 1}

All given data are at 300 K.

Q. Calculate

Δ_{f} G^{\circ}

for

(N H_{4} C l, (s))

300 K

.
Given:

Δ_{f} H^{\circ} (N H_{4} C l, s) = - 314.5 k J / m o l : Δ_{r} C_{p} = 0

S_{N_{2} (g)}^{\circ} = 192 J K^{- 1} m o l^{- 1}; S_{H_{2} (g)}^{\circ} = 130.5 J K^{- 1} m o l^{- 1} S_{C l_{2} (g)}^{\circ} = 233 J K^{- 1} m o l^{- 1}; S_{N H_{4} C l (s)} 99.5 J K^{- 1} m o l^{- 1}

All given data at

300 K

Tin is obtained from cassiterite by reduction with coke. Use the data given below to determine the minimum temperature (in K) at which the reduction of cassiterite by coke would take place.

At $298 K$ : $Δ_{f} H^{\circ} (S n O_{2} (s)) = - 581.0 k J m o l^{- 1}, Δ_{f} H^{\circ} (C O_{2} (g)) = - 394.0 k J m o l^{- 1}$
$S^{\circ} (S n O_{2} (s)) = 56.0 J K^{- 1} m o l^{- 1}, S^{\circ} (S n (s)) = 52.0 J K^{- 1} m o l^{- 1}, S^{\circ} (C (s)) = 6.0 J K^{- 1} m o l^{- 1}, S^{\circ} (C O_{2} (g)) = 210.0 J K^{- 1} m o l^{- 1}$
Assume that the enthalpies and the entropies are temperature independent.

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Heat of Formation

Standard XII Chemistry

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Calculate △fGoin kJmol−1 for (NH4Cl,s) at 310 K. Given : △fHo(NH4Cl,s)=−314.5 kJmol−1; △rCp=0 SoN2(g)=192 JK−1 mol−1; SoH2(g)=130.5 JK−1 mol−1; SoCl2(g)=233 JK−1 mol−1; SoNH4Cl(s)=99.5 JK−1 mol−1 All given data are at 300 K.