For the first order reaction \( \mathrm{A \rightarrow 2B} \), \( 1 \) mole of reactant \( \mathrm{A} \) gives \( 0.2 \) moles of \( \mathrm{B} \) after \( 100 \) minutes. The half life of the reaction is _______ min. (Round off to the Nearest Integer)
[Use: \( \ln 2 = 0.69 \), \( \ln 10 = 2.3 \) Properties of logarithms: \( \ln x^{y} = y \ln x \); \( \ln \left(\dfrac{x}{y}\right) = \ln x - \ln y] \)
