Question

for reaction 4NH3+5O2=4NO+6H2O the rate of reaction with respect to NH3 is 2×10^-3 then rate of reaction with respect to oxygen is​

Answer 1

Given that,

Rate of reaction with respect to NH₃ =$2\times10^{-3}\ m/s$

The given reaction is

$4NH_{3}+5O_{2}\rightarrow 4NO_{2}+6H_{2}O$

We need to calculate the rate of reaction with respect to oxygen

Using formula of rate

$\dfrac{1}{4}\dfrac{d(NH_{3})}{dt}=\dfrac{1}{5}\dfrac{d(O_{2})}{dt}$

$\dfrac{5}{4}\times\dfrac{d(NH_{3})}{dt}=\dfrac{d(O_{2})}{dt}$

Put the value into the formula

$\dfrac{d(O_{2})}{dt}=\dfrac{5}{4}\times2\times10^{-3}$

$\dfrac{d(O_{2})}{dt}=0.0025\ m/s$

$\dfrac{d(O_{2})}{dt}=2.5\times10^{-3}\ m/s$

Hence, The rate of reaction with respect to oxygen is $2.5\times10^{-3}\ m/s$