A syringe has a volume of 10.0 cm3 at pressure 1 atm. If you plug the

1.	A syringe has a volume of 10.0 cm3 at pressure 1 atm. If you plug the end so that no gas can escape and push the plunger down, what must be the final volume to change the pressure to 3.5 atm?
Answer» Given : P₁ = Initial pressure = 1 atm V₁ = Initial volume = 10.0 cm³ P₂ = Final pressure = 3.5 atm To find : V₂ = Final volume Formula : P₁V₁ = P₂V₂ (at constant n and T) Calculation : According to Boyle’s law, P₁V₁ = P₂V₂ (at constant n and T) ∴ V₂ = \(\frac{P_1V_1}{P_2}\) = \(\frac{1\times 10.0}{3.5}\) = 2.857 L ∴ The final volume of the gas in the syringe is 2.857 L.

A syringe has a volume of 10.0 cm3 at pressure 1 atm. If you plug the end so that no gas can escape and push the plunger down, what must be the final volume to change the pressure to 3.5 atm?

Answer»

Given :

P₁ = Initial pressure = 1 atm

V₁ = Initial volume = 10.0 cm³

P₂ = Final pressure = 3.5 atm

To find :

V₂ = Final volume

Formula :

P₁V₁ = P₂V₂ (at constant n and T)

Calculation :

According to Boyle’s law,

P₁V₁ = P₂V₂ (at constant n and T)

∴ V₂ = \(\frac{P_1V_1}{P_2}\)

= \(\frac{1\times 10.0}{3.5}\)

= 2.857 L

∴ The final volume of the gas in the syringe is 2.857 L.