The new pressure, given that half a liter of air under 360 mm pressure is compressed to 200 mL is 900 mm pressure (None of the option)
How to calculate the new pressure?
The new pressure, given that half a liter of air is compressed to 200 mL can be calculated by using the Boyle's law equation as shown below:
- Initial volume (V₁) = half a liter = 0.5 L
- Initial pressure (P₁) = 360 mm pressure
- Temperature = constant
- New volume (V₂) = 200 mL = 200 / 1000 = 0.2 L
- New pressure (P₂) = ?
Boyle's law:
P₁V₁ = P₂V₂
Input the parameters given
360 × 0.5 = P₂ × 0.2
180 = P₂ × 0.2
Divide both sides by 0.2
P₂ = 180 / 0.3
P₂ = 900 mm pressure
From the above, the new pressure is 900 mm pressure. Therefore, none of the option is correct