Answer to Question #334151 in Chemistry for shimmy

Question

3. Robert has a 4.5 litres of gas in a piston at a pressure of 1.45 atm. What will be the new pressure inside the piston to reduce the volume of the gas to 3.60 litres?

Answer 1

P₁ = 1.45 atm

V₁ = 4.50 L

T₁ = T₂ = constant

P₂ = ???

V₂ = 3.60 L

Solution:

Since the temperature and amount of gas remain unchanged, Boyle's law can be used.

Boyle's gas law can be expressed as: P₁V₁ = P₂V₂

To find the new pressure, solve the equation for P₂:

P₂ = P₁V₁ / V₂

P₂ = (1.45 atm × 4.50 L) / (3.60 L) = 1.8125 atm = 1.81 atm

P₂ = 1.81 atm

Answer: The new pressure inside the piston will be 1.81 atm