For the first order thermal decomposition reaction, the following data were obained :
`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 for the first order thermal decomposition reaction \( C_2H_5Cl(g) \rightarrow C_2H_4(g) + HCl(g) \), we will follow these steps:

### Step 1: Understand the Reaction
The reaction involves the decomposition of ethyl chloride (\( C_2H_5Cl \)) into ethylene (\( C_2H_4 \)) and hydrochloric acid (\( HCl \)).

### Step 2: Gather Initial and Final Conditions
From the data provided:
- Initial pressure (\( P_0 \)) = 0.30 atm
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