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Answer: The thermal decomposition of phosphine (PH3) into

Chapter 13, Problem 26P

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QUESTION:

The thermal decomposition of phosphine (\(\mathrm{PH}_{3}\)) into phosphorus and molecular hydrogen is a first-order reaction:

\(4 \mathrm{PH}_{3}(g) \rightarrow \mathrm{P}_{4}(g)+6 \mathrm{H}_{2}(g)\)

The half-life of the reaction is 35.0 s at 680°C. Calculate (a) the first-order rate constant for the reaction and (b) the time required for 95 percent of the phosphine to decompose.

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QUESTION:

The thermal decomposition of phosphine (\(\mathrm{PH}_{3}\)) into phosphorus and molecular hydrogen is a first-order reaction:

\(4 \mathrm{PH}_{3}(g) \rightarrow \mathrm{P}_{4}(g)+6 \mathrm{H}_{2}(g)\)

The half-life of the reaction is 35.0 s at 680°C. Calculate (a) the first-order rate constant for the reaction and (b) the time required for 95 percent of the phosphine to decompose.

ANSWER:

Step 1 of 3

Given:

Half life of the reaction = 35 s

The relation between rate constant and half life of 1st order reaction is given below.

 

 

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