The half-life period for the thermal decomposition of ${PH}_{3}$ at three different pressures are given below :
Initial pressure (mm $Hg$ ) $707$ $79$ $37.5$
Half-life (seconds) $84$ $84$ $83$
What is the order of the reaction?

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Detailed Solution

In first and second column,

$P - 1$

$t_{1 / 2} = same$

In second and third column

$P - 2$
$t_{1 / 2} = same$

So,

$t_{1 / 2}$ of 1st order is independent of initial cone.

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Initial pressure (mm $Hg$ )	$707$	$79$	$37.5$
Half-life (seconds)	$84$	$84$	$83$