Question

an expandable cylinder of maximum capacity of 30 litre is partially inflated to 10 litre at the pressure of 6 ATM by gas "a" cylinder is filled to its full capacity of for the addition of gas"b" at the same temperature and pleasure is 8 atm the partial pressure of gas be in the container is...?????
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Answer 1

Explanation:

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Answer 2

Answer:

∴The pressure increases by a factor is 2.639.

Explanation:

Here :

• The cylinder is completely insulated by its surrounding.
• So no heat is exchanged between the system and its surrounding.
• So the process is adiabatic.

Given :

Initial pressure inside the cylinder = P1

Final  pressure inside the cylinder = P2

Initial volume inside the cylinder = V1

Final volume inside the cylinder = V2

Ratio of specific heats, λ = $\frac{Cp}{Cv} = 1.4$

Solution :

For adiabatic process, we have :

P1V1 = P2V2

Here,

Final volume of the gas is compressed to half of its initial volume

∴ V2 = $\frac{V1}{2}$

P1V1 = P2(V1/2)

$\frac{P2}{P1} = \frac{V1^{y} }{(V1/2)^{y} }$

= $2^{1.4}$

2.639

∴The pressure increases by a factor is 2.639.

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