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 43.2mg after three quarters of an hour. Calculate (a) the rate constant. (b) the half-life at 500 °C. (c) how long it will take to decompose 95% of the dimethyl ether.

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