The following data were obtained for the decompostion dintirogen pentoxide in `C Cl_(4)` at 325 k
Time (minutes): 10 15 20 25 `infty`
volume of `O_(2)` evolved (mL):6.30 8.95 11.40 13.50 34.75
show that this is a first order reaction

Explanation

t(min) Vt(mL) `V_(prop)-V_(t) (l)/(t) ln (v_(prop))/(V_(prop)-V_(t))=k`
15 8.95 34.75-8.95 =25.780 mL `(1)/(15 min) ln (34.75 mL)/(25.80 mL)=0.01985 min^(-1)`
20 11.40 34.75-11.40 =23.35 mL `(1)/(20 min) ln (34.75 mL)/(23.35 mL)=0.01987 min^(-1)`
25 13.50 34.75-13.50=21.25 mL `(1)/(25 min) ln (34.75 mL)/(21.25 mL)=0.01987 min^(-1)`
A constant value of k shows that the hydorlysis of ethyl acetate is a first reaction the average value of rate constant k =0.01984 `min^(-1)`