For the first order thermal decomposition reaction, the following data were obtained :
`C_(2)H_(5)Cl(g) to C_(2)H_(4) (g) + HCl(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)

Explanation

To calculate the rate constant (k) for the first-order thermal decomposition reaction of ethyl chloride, we can use the following formula:

\[ k = \frac{2.303}{t} \log \left(\frac{P_0}{P_0 - P_t}\right) \]

Where:
- \( k \) = rate constant
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