Question

A cylinder of 20 l capacity contains a gas at 100 atm how many flasks of 200 cm^3 capacity can be filled from it at 1 atm temperature remaining constant

Answer 1

For a given quantity of a gas at constant temperature,

P x V = a constant value (See 'Boyle's Law')

So if the initial and final conditions of pressure and volume are given by P1, V1, P2 and V2

Then P1 x V1 = P2 x V2

So, 100atm x 20000cm^3 = 1atm x V2cm^3

So V2 = 10^2 x 2 x10^4 / 1 = 2 x 10^6 cm^3

Since each flask has a capacity of 200cm^3

Number of flasks filled = 2 x 10^6 / 2 x 10^2 = 10^4

So, 10000 flasks can be filled.

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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