According to Boyle's Law, " the pressure of gas is inversely related to applied pressure at constant temperature".
For the initial and final state of pressure and volume for a given gas at given temperature is as,
P₁ V₁ = P₂ V₂ --------- (1)
Data Given;
P₁ = 760 mmHg (standard Pressure)
P₂ = 1140 mmHg
V₁ = 3.5 L
V₂ = ?
Solving equation 1 for V₂,
V₂ = P₁ V₁ / P₂
Putting values,
V₂ = (760 mmHg × 3.5 L) ÷ 1140 mmHg
V₂ = 2.33 L
Result:
Hence, with increase in pressure from 760 mmHg to 1140 mmHg the volume has decreased from 3.5 l to 2.33 L.
