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Q.

A diatomic gaseous species A2(g) decomposes into atomic A by first order kinetics as :

A2(g)2A(g)

An empty flask was filled with A2 (g) and N2(g) at an initial pressure of 800 mm of Hg at 600 K and sealed. After a very long time, gases in the flask developed a pressure 1400 mm of Hg. If half-life for the decomposition process is 2 hr, what was the pressure in the flask after 4 Hr from start? Assume N2 to be an inert gas. [Find your answer in cm of Hg]

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answer is 125.

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Detailed Solution

In the reaction we have,

 A2(g)2A(g)t=0P0t=tP0x2xt=02P0

Pressure at different times,

P0+PN2=8002P0+PN2=1400P0=600,PN2=200

After 2 hours-lives PA2=6004=150

Total pressure =150+900+200=1250

 PT=125 cm of Hg

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