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For the first order thermal decomposition reaction, the following data were obained :
`C_(2)H_(5)CI(g) to C_(2)H_(4) (g) + HCI(g)`
`{:("Time/Sec", " " "Total pressure/atm"), (0, " " 0.30), (300, " " 0.50):}`
Calculate the rate constant
(Given : log 2= 0.301, log 3 = 0.4771, log 4=0.6021)

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`C_(2)H_(5)CI(g) to C_(2)H_(4)(g) + HCI(g)`
`K =(2.303)/(t)"log" (P_(0))/(2P_(0) -Pt)`
`K = (2.303)/(300) "log" (0.30)/(2 xx 0.30-0.50)`
`K = (2.303)/(300) " log" (0.30)/(0.60 -0.50) rArr (2.303)/(300) "log" (0.30)/(0.10)`
`=(2.303)/(300) "log"^(3) = (2.303)/(300) xx 0.4771`
`K= 3.66 xx 10^(-3) "sec"^(-1)`

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