Chapter 14, Problem 79A

Interpretation Introduction

Interpretation: The pressure of the gas in the new product and the pressure of the gas in the original vessel is to be compared.

Concept introduction: If the container's volume and the temperature are held constant, then the ratio of the pressure to the number of particles will be proportional.

Answer to Problem 79A

The gas pressure in the new product is twice as high as the gas pressure in the original vessel.

Explanation of Solution

The maker of aerosol deodorant packed in a $150-\text{mL}$ bottle would want to build a container of the same size that can store twice as much gas. When the capacity of the container remains the same, the pressure will be precisely proportional to the number of moles contained within it.

The amount of gas added to the container is increased by a factor of two, then the pressure present within the container will also increase by a factor of two. Therefore, the gas product's new pressure is double that of the gas in the original vessel.

Conclusion

The gas pressure in the new product is twice as high as the gas pressure in the original vessel.