Understanding the Concepts

* Combined Gas Law: This law relates the pressure, volume, and temperature of a gas. It states: (P₁V₁)/T₁ = (P₂V₂)/T₂

* Pressure and Temperature Relationship: For a fixed volume of gas, pressure is directly proportional to absolute temperature. This means that if you decrease the temperature, the pressure will also decrease.

Solving the Problem

1. Convert Temperatures to Kelvin:

* T₁ = 22°C + 273.15 = 295.15 K

* T₂ = -22°C + 273.15 = 251.15 K

2. Assume Constant Volume: Since the problem doesn't mention a change in volume, we assume the volume (V) remains constant. This means V₁ = V₂.

3. Apply the Combined Gas Law:

* (P₁V₁)/T₁ = (P₂V₂)/T₂

* Since V₁ = V₂, we can cancel them out: P₁/T₁ = P₂/T₂

4. Solve for P₂ (the new pressure):

* P₂ = (P₁ * T₂) / T₁

* P₂ = (740 mmHg * 251.15 K) / 295.15 K

* P₂ ≈ 630 mmHg

Therefore, the new pressure of the oxygen gas is approximately 630 mmHg.