Answer to Question #181082 in Chemistry for marcy

Question

A gas with a pressure of 557 mmHg and a volume of 634 mL is allowed to expand to a volume of 975 mL. What is the resulting pressure in atm?

Answer 1

Solution:

Convert mmHg to atm:

(557 mmHg) × (1 atm / 760 mmHg) = 0.733 atm

P₁ = 557 mmHg = 0.733 atm

V₁ = 634 mL

T₁ = T₂ = const

P₂ = unknown

V₂ = 975 mL

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 = (0.733 atm × 634 mL) / (975 mL) = 0.477 atm

P₂ = 0.477 atm

 

Answer: The final pressure (P₂) is 0.477 atm.