Question

9) What is the value of T (1/2).​

Answer 1

Answer:

0.5 teslas

Step-by-step explanation:

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Answer 2

T(1/2) of a first order reaction is 6.93, the value of rate constant for the reaction would be 10$s^{-1}$

Explanation:

The first order reaction is the reaction in which the rate of reaction is directly proportional to the concentration of the reactant.

The half-life of the first order reaction is inversely proportional to the rate constant.

Formula is given by:- T(1/2) = $\frac{0.693}{k}$

First order rate constant formula is as follows:_

$k=\frac{2.303}{t} log\frac{A_{0} }{A_{x} }$

where, k = first order rate constant. the unit of first order rate constant is $time^{-1}$

$A_{0}$ = initial concentration of the reactant.

$A_{x}$ = concentration of the reactant left at time t  

Half-Life is the time at which the concentration is 1 at half-life, the concentration will be 1/2.

The first order half-life formula is as follows:-

$k=\frac{2.303}{t_{1/2} } log\frac{1}{1/2}$

where $t_{1/2}$ = half life.

On substituting 6.93s for $t_{1/2}$

$k=\frac{0.693}{6.93s}$

⇒ $k=0.1s^{-1}$