Answer to Question #344554 in Chemistry for Candace

Question

a. A gas occupies a volume of 400 cm3

at a pressure of 2.00 atm.

What would be the new pressure if the volume is increased to 500 cm3 ?

Answer 1

Given:

P₁ = 2.00 atm

V₁ = 400 cm³

T₁ = T₂ = constant

P₂ = unknown

V₂ = 500 cm³

Formula: P₁V₁ = P₂V₂

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 = (2.00 atm × 400 cm³) / (500 cm³) = 1.60 atm

P₂ = 1.60 atm

Answer: The new pressure will be 1.60 atm