On heating orisine `(AsH_3))` decomposes as :
`2AsH_(3)(g)rarr2As(s)+3H_(2)(g)`
The total pressure measured at constant temperature and constant volume varies with time as follows:
`{:(t("min"),0,5,7.5,10),(p//mmHg,760,836,866.4,896.8):}`
Calculate the rate constant assuming the reaction to follow the first order rate law.

Arsine decomposes on heating according to the equation 2AsH_(3)(g) rarr 2As(s) + 3H_(2)(g) . The decompoistion was studied at constant temperature and constant volume by measuring the total pressure at various intervals of time. |{:("Time (min)",0,5,7.5,10),("Total Pressure (atm)",1,1.09,1.13,1.16):}| Assume it to be a first order reaction, calculate the specific rate constant and half life of the reaction.

Arsine decomposes on heating according to the equation 2AsH_(3)(g) rarr 2As(s) + 3H_(2)(g) . The decompoistion was studied at constant temperature and constant volume by measuring the total pressure at various intervals of time. |{:("Time (min)",0,5,7.5,10),("Total Pressure (atm)",1,1.09,1.13,1.16):}| Assume it to be a first order reaction, calculate the specific rate constant and half life of the reaction.

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