1.

In the Arrhenius for a certain reaction, the value of A and E_(a) (activation energy) are 4 xx 10^(13) sec^(-1) and 98.6 "kJ mol"^(-1), respectively. If the reaction is of first order, the temperature at which its half-life period is 10 minutes is

Answer»

`280 K`
`290 K`
`311.35 K`
`418.26 K`

SOLUTION :Calculation of `k`:
We know that `k = (2.303)/(t) "LOG"((a)/(a-x))`
`(t_(1//2)=10xx60 SEC)=1.1558xx10^(-3)`
According to ARREHENIUS equation,
`log k = log A - (Ea)/(2.303 RT)`
Substituting the various values in the above equation
`log 1.155 xx 10^(-3) = log 4 xx 10^(13) - (98.6)/(2.303 xx 8.314 xx 10^(-3) xx T)`
On usual calculation, `T = 311.35 K`


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