Question

A gas cylinder hving a capacity of 20 litres contai s a gas at 100 atmos. How many flasks of 200cm^3 capacity can be filled from it at 1 atoms. pressure if the temperature remains constant?

Answer 1

At constant temperature
PV = Constant

P₁V₁ = P₂V₂
100atm × 20L = 1 atm × V₂
V₂ = 100 × 20 L
V₂ = 2000 L
Total volume that can be filled from that cylinder is 2000 L

Volume of each flask = 200 cm³ = 0.2 L

No. of flask that can be filled = 2000 L / 0.2 L
= 10,000

∴ Ten thousand flask can be filled from that cylinder.

Answer 2

Question:

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?

Answer:

Given:

V1=20L=20000cm³

P1=100atm

V2=?

P2=1

According to Boyles' Law,

P1V1=P2V2

Solution:

100 × 20000 = 1 × V2

2000000 = V2

Also asked that,

how many flasks of 200 cm³ capacity can be filled from it at 1 atmospheric pressure and temperature remain constant.

Therefore,

According to Question:

2000000cm³ ÷ 200cm³

=10000 flasks Ans

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