Question

In the reaction nh4no2(aq)-n2(g)+2h2o(l) the volume of n2 after 20 min and after a long time is 40ml and 70ml respectively.The value of rate constant is

Answer 1

In the reaction nh4no2(aq)-n2(g)+2h2o(l) the volume of n2 after 20 min and after a long time is 40ml and 70ml respectively.The value of rate constant is....

solution : reaction $NH_4NO_2\rightarrow N_2+2H_2O$ is first order reaction.

so, equation of rate constant is ....

$K=\frac{2.303}{t}log\frac{V_{\infty}}{V_t}$

volume of N2 after (t = 20min), $V_t=40ml$

and volume of N2 after a long time, $V_{\infty}=70ml$

now, k = 2.303/(20min) log[70ml/40ml]

= 2.303/(20 × 60s) log(7/4)

= 2.303/1200 log(7/4) s^-1

hence, rate constant of given reaction is 2.303/1200 log(7/4) s^-1