Engineering
Chemistry
Payload and Barometric Distribution of Pressure
Question

A open ended mercury manometer is used to measure the pressure exerted by a trapped gas as shown in the figure. Initially manometer shows no difference in mercury level in both columns as shown in figure.
After sparking A dissociates according to following reaction 

A(g) → B(g) + 3C(g)

If pressure of Gas A decreases to 0.9 atm. Then
(Assume temperature to be constant and is 300 K)

total pressure increased to 1.3 atm

total pressure increased by 0.3 atm

total pressure increased by 22.3 cm of Hg

difference in mercury level is 228 mm

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Solution
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Given

Initial pressure of A gas is 1 atm
After sparking A dissociates into B and C
Pressure of A decreases to 0.9 atm
Solution
Let x be the decrease in Pressure of A
                    A(g) = B(g) + 3C(g)
t = 0              1           0            0
t = t               1-x         x            3x
We know that
1 – x = 0.9
x = 0.1 atm
Total pressure of system at equilibrium is
= 1 – x + x + 3x
= 1.3 atm
The correct option is A
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