Question

Assertion :A plot of log $\frac{dX}{dt}vs.log(a-X)$ leads to value of K as antilog (intercept) and slope equal to order of reaction. Reason: $\frac{dX}{dt}=K(a-X{)}^n$

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Assertion is incorrect but Reason is correct

Answer 1

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

Since for nth order reaction is $\frac{dX}{dt}=K(a-X{)}^n$
Taking logarithm of the above equation $log\left(\frac{dx}{dt}\right)=nlog(a-x)+logk$

Here slope determine order of reaction
Intercept determine K.