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Question

A(g)2B(g)+C(g)
Initially at t = 0 gas A was present along with some amount of gas C. At At t = 0, the mole fraction of gas C is 13. After some time t=t1, the total pressure is half of the final total pressure at t=tx (a very long time). Assume this decomposition to follow first order kinetics (at a constant temperature). It is also given at t=tx, the final total pressure is 35 bar.

At t=t1 pressure of gas B is.

A
2.5 bar
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B
1.25 bar
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C
5.0 bar
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D
Data is insufficient
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Solution

The correct option is A 2.5 bar
A(g)2B(g)+C(g)
23Pi 0 13Pi at t=0
23Pip 2p 13Pi+p at t1
23Pipx 2px 13Pi+px at tx
Pi+2p=352
Pi+2px=35
after a very long time
23Pipx=0
by solving we get
Pi=15
2p=2.5
pressure of B at time t is 2.5 bar

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