Answer to Question #335809 in Chemistry for shimmy

Question

1. My grandmother was hospitalized at the Community Hospital due to difficulty in breathing. The nurse supported her breathing with the aid of oxygen gas. The nurse noted that the tank of oxygen gas has a volume of 14.0L and a pressure of 1 atm. Find the volume of the oxygen when its pressure is changed to 1.2 atm while the temperature is held constant.

Given: V₁=14.0 L, P₁= 1.0 atm, P₂= 1.2 atm

Answer 1

Given:

P₁ = 1 atm

V₁ = 14.0 L

T₁ = T₂ = constant

P₂ = 1.2 atm

V₂ = unknown

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 volume of the oxygen, solve the equation for V₂:

V₂ = P₁V₁ / P₂

V₂ = (1 atm × 14.0 L) / (1.2 atm) = 11.667 L = 11.7 L

V₂ = 11.7 L

Answer: The volume of the oxygen is 11.7 liters