You visited us 1 times! Enjoying our articles? Unlock Full Access!

Vant Hoff's Equation and Effect of Temperature on Equilibrium Constant

Calculate Δ...

Question

Calculate
$Δ G^{0}$ and the equilibrium constant for the formation of $N O_{2}$ from NO and $O_{2}$ at 298K
$N O + 1 / 2 O_{2} ⇌ N O_{2}$ , where
$Δ_{f} G^{0} (N O_{2}) = 52.0 k J / m o l$ , $Δ_{f} G^{0} (N O) = 87.0 k J / m o l$ , $Δ_{f} G^{0} (O_{2}) = 0 k J / m o l$

Open in App

Solution

$N O + \frac{1}{2} O_{2} ⇋ N O_{2}$
$Δ G_{r e a c t i o n}^{o} = \sum Δ G_{(P r o d u c t s)}^{o} - \sum Δ G_{(r e a c t a n t s)}^{o}$
$⟹ Δ G_{r e a c t i o n}^{o} = Δ G_{(N O_{2})}^{o} - [Δ G_{(N O)}^{o} + \frac{1}{2} Δ G_{(O_{2})}^{o}]$
$⟹ Δ G_{r e a c t i o n}^{o} = (52.0) - (87.0) - \frac{1}{2} \times 0$
$⟹ Δ G_{r e a c t i o n}^{o} = - 35$ $k J / m o l$
For equilibrium,
$Δ G_{r e a c t i o n}^{o} = - R T ln K_{e q}$
$⟹ - 35 \times 10^{3} = - 8.314 \times 298 \times ln K_{e q}$
$⟹ ln K_{e q} = 14.1267 \times 10^{- 3}$
$⟹ K_{e q} = 1.014$
Therefore, the equilibrium constant is $1.014$

Suggest Corrections

Similar questions

[[Q]]

Calculate a) G°and b) the equilibrium constant for the formation of NO₂ from NO and O₂ at 298 K

where _fG° (NO₂) = 52.0 kJ/mol

_fG° (NO) = 87.0 kJ/mol

_fG° (O₂) = 0 kJ/mol

Calculate a) ΔG°and b) the equilibrium constant for the formation of NO₂ from NO and O₂ at 298 K

where Δ_fG° (NO₂) = 52.0 kJ/mol

Δ_fG° (NO) = 87.0 kJ/mol

Δ_fG° (O₂) = 0 kJ/mol

Calculate

$Δ G^{0}$

the equilibrium constant for the formation of $N O_{2}$ from NO and $O_{2}$ at 298 K
$N O (g) + \frac{1}{2} O_{2} (g) \leftrightarrow N O_{2} (g)$

Where:
$Δ_{f} G^{\circ} (N O_{2}) = 52.0 k J / m o l Δ_{f} G^{\circ} (N O) = 87.0 k J / m o l Δ_{f} G^{\circ} (O_{2}) = 0 k J / m o l$

Δ G^{0}

N O_{2}

O_{2}

N O (g) + \frac{1}{2} O_{2} (g) ⇌ N O_{2} (g)

Δ_{f} G^{0} (N O_{2}) = 52.0

Δ_{f} G^{0} (N O) = 87.0

Δ_{f} G^{0} (O_{2}) = 0

△ G^{\circ}

N O_{2}

N O

O_{2}

(1.365 \times 10^{6}) = 6.14

N O (g) + \frac{1}{2} O_{2} (g) ⇌ N O_{2} (g)

△ G^{\circ} (N O_{2}) = 52.0

△ G^{\circ} (N O) = 87.0

△ G^{\circ} (O_{2}) = 0

Join BYJU'S Learning Program