Answer to Question #343667 in Chemistry for Sara

Question

Oxygen gas inside a 1.5 L gas tank has a pressure of 0.95 atm. Provide the temperature remains constant, how much pressure is needed to reduce it's volume by 1/2

Answer 1

Given:

P₁ = 0.95 atm

V₁ = 1.5 L

T₁ = T₂ = constant

P₂ = unknown

V₂ = (1/2) × V₁ = (1/2) × 1.5 L = 0.75 L

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 pressure, solve the equation for P₂:

P₂ = P₁V₁ / V₂

P₂ = (0.95 atm × 1.5 L) / (0.75 L) = 1.90 atm

P₂ = 1.90 atm

Answer: 1.90 atm