Ten grams of a gas occupies 12.5 liters at a pressure of 42.0 cm Hg. What is the volume when the pressure has increased to 75.0 cm Hg? 6.00 L 7.00 L 8.00 L none of the above
7.0 L
According to Boyle's Law, " The Volume of a given mass of gas at constant temperature is inversely proportinal to the applied Pressure". Mathematically, the initial and final states of gas are given as,
P₁ V₁ = P₂ V₂ ----------- (1)
Data Given;
P₁ = 42.0 cm Hg
V₁ = 12.5 L
P₂ = 75.0 cm Hg
V₂ = ??
Solving equation 1 for V₂,
V₂ = P₁ V₁ / P₂
Putting values,
V₂ = (42.0 cm Hg × 12.5 L) ÷ 75.0 cm Hg
V₂ = 7.0 L
As the Pressure has increased from 42.0 cm Hg to 75.0 cm Hg, therefore, Volume got decreased from 12.5 L to 7.0 L.