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A cylinder of 20 litres capacity contains a gas at 100 atmospheric pressure. How many flasks of 200 cm3 capacity can be filled from it at 1 atmosphere pressure temperature remaining constant?

Gas Laws

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Answer

V1 = 20 lits.

1 lit. = 1000 cm3

∴ 20 lit = 20,000 cm3

P1 (Initial pressure) = 100 atmos.

P2 (Final pressure) = 1 atmos.

V2 = ?

By Boyle's Law:

P1V1=P2V2\text{P}1 \text{V}1 = \text{P}2 \text{V}2

Substituting the values :

100×20,000=1×V2V2=20,00,000 cm3100 \times 20,000 = 1 \times \text{V}2 \\[0.5em] \text{V}2 = 20,00,000 \text{ cm}^3

200 cm3 = capacity of 1 flask
∴ Number of flasks required for 20,00,000 cm3 of gas

=20,00,000200=10,000= \dfrac{20,00,000 }{200} = 10,000

Hence, number of flask that can be filled = 10,000.

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