Answer to Question #162195 in Chemistry for Zamaria Baugh

Question

What is the new pressure of 200 mL of a gas that is compressed to 100 mL when the original pressure was 2.0 atm and the temperature is held constant?

Answer 1

V₁ = 200 mL = 0.2 L

P₁ = 2.0 atm

T₁ = T₂ = const

V₂ = 100 mL = 0.1 L

P₂ = unknown

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 final pressure, solve the equation for P₂:

P₂ = P₁V₁ / V₂

P₂ = (2.0 atm × 0.2 L) / (0.1 L) = 4.0 atm

P₂ = 4.0 atm

 

Answer: 4.0 atm is the new pressure of a gas.