For the reaction 2N_(2)O_(5)(g)to4NO_(2)(g)+O_(2)(g), the following results have been obtained : {:("S. No.",,,[N_(2)O_(5)]" mol L"^(-1),,,"Rate of disappearance of"),(,,,,,,N_(2)O_(5)","" mol L"^(-1)min^(-1)),(1,,,1.13xx10^(-2),,,34xx10^(-5)),(2,,,0.84xx10^(-2),,,25xx10^(-5)),(3,,,0.62xx10^(-2),,,18xx10^(-5)):} (a) Calculate the order of reaction (b) Write rate law (c) Calculate rate constant of the reaction.

For the reaction 2N_(2)O_(5)(g)to4NO_(2)(g)+O_(2)(g), the following re

1.	For the reaction 2N_(2)O_(5)(g)to4NO_(2)(g)+O_(2)(g), the following results have been obtained : {:("S. No.",,,[N_(2)O_(5)]" mol L"^(-1),,,"Rate of disappearance of"),(,,,,,,N_(2)O_(5)","" mol L"^(-1)min^(-1)),(1,,,1.13xx10^(-2),,,34xx10^(-5)),(2,,,0.84xx10^(-2),,,25xx10^(-5)),(3,,,0.62xx10^(-2),,,18xx10^(-5)):} (a) Calculate the order of reaction (b) Write rate law (c) Calculate rate constant of the reaction.
Answer» Solution :Rate `=k[N_(2)O_(5)]^(n). :.(R_(1))/(R_(2))={([N_(2)O_(5)]_(1))/([N_(2)O_(5)]_(2))}^(n)`. Substitute given values and calculate n. Rate of reaction `=(1)/(2)XX" Rate of disappearance of "N_(2)O_(5)` WHE `[N_(2)O_(5)]=1.13xx10^(-2)" mol L"^(-1)"","""Rate"=(1)/(2)xx34xx10^(-5)=17xx10^(-5)" mol L"^(-1)min^(-1)` `k=("Rate")/([N_(2)O_(5)])=(17xx10^(-5)"mol L"^(-1)min^(-1))/(1.13xx10^(-2)"mol L"^(-1))=1.5xx10^(-2)min^(-1)`