The decomposition of dimethyl ether (CH3OCH3) to methane, carbon monoxide, and hydrogen gases is found to be first-order. At 500 C, a 150.0-mg sample of dimethyl ether is reduced to 43.2 mg after three quarters of an hour. Calculate: a.the rate constant b.the half-life at 500 C c.how long will it take to decompose 95% of the drug?