What is the activation energy for the decomposition of N2O5 as N2O5leftharpoons 2NO2+(1/2)O2 If the values of the rate constants are 3.45×10-5 and 6.9×10-3 at 27°C and 67°C respectively

Question

What is the activation energy for the decomposition of N2O5 as N2O5leftharpoons 2NO2+(1/2)O2 If the values of the rate constants are 3.45×10-5 and 6.9×10-3 at 27°C and 67°C respectively (A) 102 × 102 kJ (B) 488.5 kJ (C) 112 kJ (D) 14.7 kJ

Tardigrade Admin · Accepted Answer

log(6.9×10-3/3.45×10-3)=(Ea(340-300)/8.314×10-3×2.303×300×340) ∴ Ea=(0.301×8.314×10-3×2.303×300×340/40)=14.7 KJ

Q. What is the activation energy for the decomposition of $N_{2} O_{5}$ as
$N_{2} O_{5} ⇌ 2 N O_{2} + \frac{1}{2} O_{2}$
If the values of the rate constants are $3.45 \times 1 0^{- 5}$ and $6.9 \times 1 0^{- 3}$ at $2 7^{\circ} C$ and $6 7^{\circ} C$ respectively

$102 \times 1 0^{2} k J$

$488.5 k J$

$112 k J$

$14.7 k J$

log $\frac{6.9 \times 1 0 ^{- 3}}{3.45 \times 1 0 ^{- 3}} = \frac{E _{a} ( 340 - 300 )}{8.314 \times 1 0 ^{- 3} \times 2.303 \times 300 \times 340}$
$∴ E_{a} = \frac{0.301 \times 8.314 \times 1 0 ^{- 3} \times 2.303 \times 300 \times 340}{40} = 14.7 K J$

Q. What is the activation energy for the decomposition of N2​O5​ as N2​O5​⇌2NO2​+21​O2​ If the values of the rate constants are 3.45×10−5 and 6.9×10−3 at 27∘C and 67∘C respectively

102×102kJ

488.5kJ

112kJ

14.7kJ