Question

Oxygen for patients is kept in tanks at a pressure of 6.6×10⁶ Pa and a temperature of 300K. The gas is pumped into a special room that is maintained at 1.0×10⁵ Pa and a temperature of 300K. What is the final volume of the gas if the initial volume is

2.0m³?

A) 0.030m³
B) 0.20m³
C) 2.0m³
D)12m³

Answer 1

The final volume of the gas is 0.132 m³, which is approximately equal to 0.030 m³ (option A).

Step-by-step explanation:

To solve this problem, we can use the ideal gas law equation: P₁V₁ = P₂V₂

Since the temperature remains constant, we can rearrange the equation to solve for V₂:

V₂ = (P₁V₁) / P₂

Given: P₁ = 6.6 x 10⁶ Pa, V₁ = 2.0 m³, P₂ = 1.0 x 10⁵ Pa

Substituting the values into the equation:

V₂ = (6.6 x 10⁶ Pa x 2.0 m³) / (1.0 x 10⁵ Pa)

Calculating the result:

V₂ = 13.2 m³ / 1.0 x 10⁵ Pa

V₂ = 0.132 m³

The final volume of the gas is 0.132 m³, which is approximately equal to 0.030 m³ (option A).