Question

Calculate final volume of a gas when pressure of 60 mL gas is increased from 1 to 1.5 atm, keeping temperature constant

• A. 2 x 10^–2 dm³
• B. 3 x 10^–2 dm³
• C. 5 x 10^–2 dm³
• D. 4 x 10^–2 dm³

Answer 1

The Correct Option is D

To calculate the final volume of the gas when the pressure is increased from 1 atm to 1.5 atm while keeping the temperature constant, we can use Boyle's Law,
P₁V₁ = P₂V₂
Given:
P₁ = 1 atm
P₂ = 1.5 atm
V₁ = 60 mL
On substituting 
(1 atm) x (60 mL) = (1.5 atm) x V₂
60 atm·mL = 1.5 atm x V₂ 
V₂ = \(\frac {60\  (atm·mL) }{1.5 \ (atm) }\)
V₂ = 40 mL
Therefore, the final volume of the gas is 40 mL.That is 4 x 10^-2 dm³