Question

A water bottle will collapse when exposed to a pressure of 0.40 bar. Water at 85 degrees celsius with a quality of 0.25 is added into the bottle.

(a) if the bottle has a volume of 0.5L, what is the mass of water in the bottle?

Answer 1

To find the mass of water in the bottle, we need to know the volume of water and its density. Given the volume of the bottle, the temperature of the water, and the quality of the water, we can calculate the mass of water in the bottle. Using the formula Mass = Density x Volume, we can determine that the mass of water in the bottle is approximately 97.875 kg.

Step-by-step explanation:

To find the mass of water in the bottle, we need to know the volume of water and its density.

Given:

• Volume of the bottle = 0.5 L
• Temperature of the water = 85 degrees celsius
• Quality of the water = 0.25

First, we need to convert the temperature to Kelvin by adding 273.15. So, the temperature of the water is 85 + 273.15 = 358.15 K.

The density of water can be found using the steam tables or other references. At 358.15 K and a quality of 0.25, the density of water is approximately 783 kg/m³.

Now, let's calculate the mass of water in the bottle:

Volume of water = Quality x Volume of the bottle = 0.25 x 0.5 L = 0.125 L

Mass of water = Density x Volume of water = 783 kg/m³ x 0.125 L = 97.875 kg

Therefore, the mass of water in the bottle is approximately 97.875 kg.