Boyle's Law: Pressure and Volume Relationship in a Syringe
What will happen to the pressure inside a syringe if the volume is reduced from 30 ml to 19 ml at atmospheric pressure?
The pressure inside the syringe will become approximately 2 atmospheres.
Boyle's Law Explanation:
When the volume of the syringe is reduced from 30 ml to 19 ml, the pressure inside the syringe changes. This is based on the equation:
P₁V₁ = P₂V₂
Where:
P₁ = Initial pressure = 1 atm
V₁ = Initial volume = 30 ml
P₂ = Final pressure = Required
V₂ = Final volume = 19 ml
By plugging in the values, we can calculate the final pressure inside the syringe:
1 atm × 30 ml = 19 ml × P₂
P₂ = 30 (atm·ml) / 19 ml
P₂ = 1.579 atm, which is approximately 2 atm when rounded to the nearest whole number.
Therefore, when the volume of the syringe is reduced to 19 ml at atmospheric pressure, the pressure inside the syringe will be around 2 atmospheres according to Boyle's law.