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The thermal decomposition of phosphine into phosphorus and hydrogen is a first-order reaction with a half-life of 35.0 s at 680 C. 4 PH 3

The thermal decomposition of phosphine into phosphorus and hydrogen is a first-order reaction with a half-life of 35.0 s at 680 °C. 

4 PH3 (g) → P4 (g) + 6 H2 (g)

a) Write the rate law for this reaction.

b) How much time (in minutes) is required for 97% of a phosphine sample to decompose at 680 °C? 

c) If the activation barrier is 3.05 x 105 J/mol, what is the half-life for this reaction at 710 °C?

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