Answer to Question #184771 in Chemistry for Emily

Question

A gas occupies 25.32 liters at a pressure of 53.12 mmHg. What is the new volume when the pressure is increased to 98.44 Round your answer to the hundredths place 2 decimal places). Show your work on a separate sheet of paper . P 1 V 1 T 1 = P 2 V 2 T 2

Answer 1

P₁ = 53.12 mmHg

V₁ = 25.32 L

T₁ = T₂ = const

P₂ = 98.44 mmHg

V₂ = 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 new volume, solve the equation for V₂:

V₂ = P₁V₁ / P₂

V₂ = (53.12 mmHg × 25.32 L) / (98.44 mmHg) = 13.66 L

V₂ = 13.66 L

Answer: The new volume is 13.66 L.