If you have 35 ml of gas in a closed container under 1.23 atm of pressure, what will the volume be if the pressure increased to 3 atm

New volume is 14.35 mL

Explanation:

When a system of a gas keeps on constant its temperature and number of moles, the pressure is modified indirectly proportional to the volume:

Pressure increased → Volume decreased

Pressure decreased → Volume increased.

The relation you have to apply is: P₁ . V₁ = P₂. V₂

1.23 atm . 35 mL = 3 atm . V₂

(1.23 atm . 35 mL / 3 atm)  = V₂

V₂ = 14.35 mL

The new volume will be 14.35 mL

Explanation:

Step 1: Data given

Volume of the gas = 35 mL = 0.035 L

Pressure = 1.23 atm

The pressure increased to 3 atm

Step 2: Calculate the new volume

P1*V1 = P2*V2

⇒with P1 = the initial pressure = 1.23 atm

⇒with V1 = the initial volume = 0.035 L

⇒with P2 = the increased pressure = 3.0 atm

⇒with V2 = the new volume

1.23 * 0.035 = 3.0 * V2

V2 = 0.01435 L = 14.35 mL

The new volume will be 14.35 mL

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