At \( 100^{\circ} \mathrm{C} \) the gaseous reaction \( \mathrm{A} \longrightarrow 2 \mathrm{~B}...

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At \( 100^{\circ} \mathrm{C} \) the gaseous reaction \( \mathrm{A} \longrightarrow 2 \mathrm{~B}+\mathrm{C} \) was observed to be of first order. On starting with pure \( \mathrm{A} \) it is found that at the end of 10 minutes the total pressure of system is \( 176 \mathrm{~mm} . \mathrm{Hg} \) and after a long time \( 270 \mathrm{~mm} \mathrm{Hg} \). From these data find
(a) initial pressure of \( \mathrm{A} \)
P
(b) the pressure of \( A \) at the end of 10 minutes
(c) the specific rate of reaction
(d) the half life period of the reaction? [Given : \( \ln \left(\frac{90}{47}\right)=0.65 \mathbf{n} \) ]
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