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Chemistry

A gas cylinder having a capacity of 20 litres contains a gas at 100 atmos. How many flasks of 200 cm3 capacity can be filled from it at 1 atmos. pressure if the temperature remains constant ?

Gas Laws

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Answer

V1 = 20 lits.

1 lit. = 1000 cc Therefore, 20 lit = 20,000 cc

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 cc100 \times 20,000 = 1 \times \text{V}2 \\[0.5em] \text{V}2 = 20,00,000 \text{ cc}

200 cc = capacity of 1 flask
Therefore, number of flasks required for 20,00,000 cc of gas

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

Therefore, number of flask that can be filled = 10,000

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