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For the first order thermal decompositio...

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/second","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]

Text Solution

Verified by Experts

Apply the relation for first order reaction for gaseous state
`k=(2.303)/(t)"log"(p_(i))/(2p_(i)-p_(t))`
Substituting the values, we have
`k=(2.303)/(300)"log"(0.3)/(0.6-0.5)=(2.303)/(300)log3=(2.303)/(300s)xx0.4771=0.0037s^(-1)`
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