For a reaction, X(g)→Y(g)+Z(g) the half-life period is 10 min. In What period of time would the concentration of X be reduced to 10% of original concentration

x(g)→y(g)+z(g)The reaction is a first-order reaction hence, K=0.693t1/2=2.303tlog⁡aa−x    =0.69310 min    =2.303tlog⁡a10     =0.69310=2.303tlog⁡10∴  t=2.303×100.693=33 min