Chapter U3.58, Problem 6E

(a)

Interpretation Introduction

Interpretation: Comprehend the volume of balloon in the depth of 30 ft if the total pressure from the ocean at that depth is 2 atm and temperature is constant.

Concept Introduction:

Due to random movement of gas particles, they colloid with other gas particles and also colloid with wall of container. The collision between gas particles of air and wall of container exert pressure on the wall of container. The gas pressure is inversely proportional to the volume of gas. This is because as the gas pressure increases, the gas particles come close to each other. It decreases the intermolecular distance between particles and volume decreases.

Answer to Problem 6E

At 30 ft depth, the temperature is constant therefore as the pressure increases, the volume of balloon will decrease.

Explanation of Solution

The Boyle’s law states that at constant temperature and amount of gas molecules, the volume is inversely proportional to the pressure of gas.

  $\text{Pressure α }\frac{\text{1}}{\text{volume }}$

At 30 ft depth, the temperature is constant therefore as the pressure increases, the volume of balloon will decrease.

(b)

Interpretation Introduction

Interpretation: Comprehend the inside pressure of balloon in the depth of 30 ft if the total pressure from the ocean at that depth is 2 atm and temperature is constant.

Concept Introduction:

Due to random movement of gas particles, they colloid with other gas particles and also colloid with wall of container. The collision between gas particles of air and wall of container exert pressure on the wall of container. The gas pressure is inversely proportional to the volume of gas. This is because as the gas pressure increases, the gas particles come close to each other. It decreases the intermolecular distance between particles and volume decreases.

Answer to Problem 6E

As the volume of balloon decreases, the inside pressure will increase because the gaseous pressure is inversely proportional to the volume.

Explanation of Solution

The Boyle’s law states that at constant temperature and amount of gas molecules, the volume is inversely proportional to the pressure of gas.

  $\text{Pressure α }\frac{\text{1}}{\text{volume }}$

At 30 ft depth, the temperature is constant therefore as the pressure increases, the volume of balloon will decrease. As the volume of balloon decreases, the inside pressure will increase because the gaseous pressure is inversely proportional to the volume.