Half-life for the zero order reaction `A(g) to B(g)+C(g)` and half-life for the first order reaction `X(g) to Y(g)+Z(g)` are equal. If completion time for the zero order reaction is 13.86 min, then calculate the rate constant ( in `hr^(-1))` of the reaction `X(g)+ to Y(g) +Z(g)`.