A container with a capacity of 1 l of water is heated from 5°C to 40°C. If the container is completely full at 5 °C and the volumetric capacity coefficient of water at 40 °C is 385 x 10-6/°C, calculate: The volumetric expansion.
To calculate the volumetric expansion of the water in the container, we can use the formula:
Volumetric expansion = original volume x volumetric capacity coefficient x temperature change
First, let's calculate the original volume of water in the container at 5°C:
1 liter = 1000 cm^3
Next, we will calculate the temperature change:
Temperature change = 40°C - 5°C = 35°C
Now we can calculate the volumetric expansion:
Volumetric expansion = 1000 cm^3 x 385 x 10^-6/°C x 35°C
Volumetric expansion = 1000 x 385 x 10^-6 x 35
Volumetric expansion = 1000 x 0.000385 x 35
Volumetric expansion = 13.475 cm^3
Therefore, the volumetric expansion of the water in the container is 13.475 cm^3.