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Q.

A cylinder of 5 litres capacity, filled with air at NTP is connected with another evacuated cylinder of 30 litres of capacity. The resultant air pressure in both the cylinders will be

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a

14.9cm of Hg

b

21.8 cm of Hg

c

38.8 cm of Hg

d

10.8 cm of Hg

answer is A.

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Detailed Solution

Given that
P₁ =76cm of Hg (lnitial pressure at N.T.P.)
P₂ = ? V₁ = 5litre, V₂ = 30 + 5 = 35litres
According to Boyle's law
$\begin{array}{l} P_{1} V_{1} = P_{2} V_{2}; 76 \times 5 = P_{2} \times 35 \\ P_{2} = \frac{76 \times 5}{35} \Rightarrow P_{2} = 10 .8 cm of Hg \end{array}$

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