Answer to Question #281997 in Chemistry for Dhempaul

Question

A sample of ammonia (NH3), a colorless gas with a pungent odor, occupies a volume of 3.00 L at a pressure of 655 mm Hg and a temperature of 25°C. What volume, in liters, will this NH3 sample occupy at the same temperature if the pressure is increased to 725 mm Hg? *

Answer 1

P₁ = 655 mmHg

V₁ = 3.00 L

T₁ = T₂ = 25°C

P₂ = 725 mmHg

V₂ = unknown

Solution:

Since the temperature remains unchanged, Boyle's gas law can be used.

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

To find the new volume, solve the equation for V₂:

V₂ = P₁V₁ / P₂

V₂ = (655 mmHg × 3.00 L) / (725 mmHg) = 2.71 L

V₂ = 2.71 L

Answer: 2.71 L of NH₃