Question

A container of capacity 5L Clanton a gas at pressure 0.8m kg Hf. Now the container is joined to another container of capacity 3L T same temperature. Find resultant pressure.

Answer 1

Correct Question:-

A container of capacity 5L contains a gas at pressure 0.8m of Hg. Now the container is joined to another container of capacity 3L at same temperature. Find resultant pressure.

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Concept used:-

• Here Temperature is constant.
• The volume of conatjenr will be volume of gas.
• When the two containers are joined, their total volume will be the final volume of gasses.
• As it's a closed container so the number of moles will also be same.

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Need to find:-

• Final pressure = P2 = ?

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Solution:-

Given

• Itinal volume = V1= 5L
• Initial Pressure = P1 = 0.8m of Hg

Now

⋆Final Volume = V2

= 5L + 3L

= 8L

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As both the Temperature and Number of moles are same, we can use the formula given by Boyle's Law,

P1V1 = P2V2

→ 0.8 × 5 = P2 × 8

→ 4 = P2 × 8

→ P2 = 4 ÷ 8

$\red{\boxed{\bold{\large{\implies P_{2} = 0.5 m\: of\: Hg}}}}$