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Question

In the following gaseous phase first order reaction :
A(g)2B(g)+C(g)

initial pressure was found to be 400 mm of Hg and it changed to 1000 mm of Hg after 20 min. Then:

A
half life for A is 7.8 min
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B
rate constant is 0.0693 min1
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C
partial pressure of C at 30 min is 350 mm of Hg
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D
total pressure after 30 min is 1100 mm of Hg
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Solution

The correct option is B rate constant is 0.0693 min1
A2B+C
P O O ; t=0
PPO 2PO PO ; t=20

Initial PT=400mm; Final PT=1000mm

PPO+2PO+PO=PT

P+2PO=PT

400+2PO=1000

PO=6002=300mm

PPO=400300
=100mm of Hg

K=2.303tlog(P1Pt)

K=2.30320log400100
=0.0693min1

t1/2=0.693K=0.6930.0693=10 min .

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