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Standard XII

Chemistry

Half life

For a first o...

Question

For a first order gaseous reaction $6 A (g) \to A_{6} (g)$ ; $k$ = disappearance constant of $A$ . If $P_{t}$ is the total pressure of the gaseous mixture after time $t$ & $P_{\infty}$ after a very long time then correct relationship is:

k = \frac{1}{t} l n [\frac{5 P_{\infty}}{P_{T} - P_{\infty}}

]

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k = \frac{1}{t} l n [\frac{6 P_{\infty}}{30 P_{\infty} - 5 P_{T}}

]

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k = \frac{1}{t} l n [\frac{5 P_{\infty}}{11 P_{\infty} - P_{T}}

]

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None of these

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Solution

The correct option is A $k = \frac{1}{t} l n [\frac{5 P_{\infty}}{P_{T} - P_{\infty}}$ ]
$6 A (g) \to A_{6} (g)$
Initially $P_{0}$
At time t $P_{0} - x x / 6$
At infinite time: $0 P_{0} / 6$
Also,
$k = \frac{1}{t} l n [\frac{a}{a - x}]$ ] so
$k = \frac{1}{t} l n [\frac{5 P_{\infty}}{P_{T} - P_{\infty}}$ ]

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For a first order gaseous reaction 6A(g)→A6(g); k= disappearance constant of A. If Pt is the total pressure of the gaseous mixture after time t & P∞ after a very long time then correct relationship is:

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