Define half-life. Write the equation relating the half-life of a first-order rea

Question

Define half-life. Write the equation relating the half-life of a first-order reaction to the rate constant. Write the equations relating the half-life of a second-order reaction to the rate constant. How does it differ from the equation for a first-order reaction? For a first-order reaction, how long will it take for the concentration of reactant to fall to one-eighth its original value? Express your answer in terms of the half-life (t_1/2) and in terms of the rate constant t. What is the half-life of a compound if 75 percent of a given sample of the compound decomposes in 60 min ? Assume first-order kinetics. The thermal decomposition of phosphine (PH_3) into phosphorus and molecular hydrogen is a first-order reaction: 4PH_3(g) rightarrow P_4(g) + 6H_2(g)

Explanation / Answer

13.25)

t0.5 = 0.693/k

k=0.693/60=0.0115 min-1

-ln(1-Xa ) =kt

-ln(0.25)=0.0115 min-1 *t

t=120 min

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