To solve this formula, we can simply use the formula of half-life of a radioactive substance to calculate the decay rate.
The disintegration constant or decay rate is calculated as 0.385min^-1
Half-Life
The half-life of a radioactive substance is defined as the time taken for the initial mass of the substance to reach half it's starting mass.
The formula is given as
[tex]T_\frac{1}{2} = \frac{\ln2}{\lambda}[/tex]
Let's substitute the value into the equation and solve through
[tex]T_\frac{1}{2} = \frac{\ln2}{\lambda} \\\lambda = \frac{\ln2}{T_\frac{1}{2} } \\\lambda = \frac{0.693}{1.8} \\\lambda = 0.385[/tex]
The disintegration constant or decay rate is calculated as 0.385min^-1
Learn more on half-life here;
https://brainly.com/question/26148784
#SPJ1
