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Question: A gaseous reaction, \(A_{2}(g) \rightarrow B(g) + \frac{1}{2}C(g)\) ; Shows increase in pressure fro...

A gaseous reaction, A2(g)→B(g)+12C(g)A_{2}(g) \rightarrow B(g) + \frac{1}{2}C(g) ; Shows increase in pressure from 100 mm to 120 mm in 5 minutes. The rate of disappearance of A2A_{2} is

A

4mmmin⁡−14mm\min^{- 1}{}

B

8mmmin⁡−18mm\min^{- 1}{}

C

16mmmin⁡−116mm\min^{- 1}{}

D

2mmmin⁡−12mm\min^{- 1}{}

Answer

8mmmin⁡−18mm\min^{- 1}{}

Explanation

Solution

A2(g)→B(g)+12C(g)A_{2}(g) \rightarrow B(g) + \frac{1}{2}C(g)

100 0 0

100−p100 - p p 12p\frac{1}{2}p

100−p+p+12p=120100 - p + p + \frac{1}{2}p = 120 or p=40mmp = 40mm

∴−dpA2dt=405=8mmmin⁡−1\therefore - \frac{dp_{A_{2}}}{dt} = \frac{40}{5} = 8mm\min^{- 1}{}