What is rate equation ? How is it obtained ? Write the rate equations for
1) `2NO(g)+ O_(2)(g) to 2NO_(2)(g)`
2) `CHCl_(3) + Cl_(2) to C Cl_(4)+ HCl`
3) ` CH_(3)COOC_(2) H_(5) (l) + H_(2) O(l)to CH_(3) H_(5)OH(aq)`

Explanation

The equation that describes mathematically the dependence of the rate of a reacton on the concentration terms of the reactions is known as the rate equation (or) rate law.
Eg: `2A +3B to 3C`
Rate of the given reaction `prop [A]^(2)[B]^(3)`
How to obtain : Each concentration term is raised to some power which may or may not be same as the stoichiometric coefficient of the reacting species
1) `2NO_((g))+O_(2(g))to 2NO_(2(g))`
`(Delta[R])/(Deltat)=k [NO]^(2) [O_(2)]`
ii) `CHCl_(3) +Cl_(2)to C Cl_(4) +HCl`
`(Delta[R])/(Deltat) =k[CHCl_(3)][Cl_(2)]^(1//2)`
iii) `CH_(3)COOC_(2)H_(5(l))+H_(2)O_((l))to CH_(3) COOH_((aq))+C_(2) H_(5)OH_((aq))`
`(Delta[R])/(Deltat)=k[CH_(3)COOC_(2)H_(5)].`