M2A(g)→M−8Z−4B(g)+α−particles The radioactive disintegration follows first order kinetics. Starting with 1 mol of in a 1 litre closed flask at 27∘C, pressure set up after two half-lives is approximately
A
25 atm
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B
12 atm
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C
37 atm
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D
40 atm
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Solution
The correct option is C 37 atm InitialP=1×0.0821×3001=24.63M2A(g)→M−8Z−4B(g)+α−particles1001−0.750.752×0.75=1.5 = 0.25 Total no.of moles = 0.25 + 0.75 + 1.5 = 2.5 PfPi=2.51Pf=2.5×24.63 Pressure increased = 61.57-24.63 = 37 atm