In a reaction, a substance A undergoes decomposition which is catalysed in presence of a finely divided catalyst. If there are enough sites on the catalyst so that 20 molecules of A react per second. What is the rate of the reaction for a 1M solution?

Explanation

Rate=`(no. of moles)/(L))time`
`1 (M)` solution contains `1 (mole)/(L) ` or `6.022 xx 10^(23)`
molecules 20 molecules react per sec time taken by 20 molecules =1 sec
therefore time taken by `6.022 xx 10^(23)` molecules =1(1 xx 6.022 xx 10^(23))(20)=3.011 xx 10^(22)`
Rate=`(x^(2))(3.011 xx 10^(22))=3.33 xx 10^(-21) (mol)` (L)^(-1) (sec)^(t)`