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 overflow
To calculate the overflow, we first need to determine the change in volume of the water when heated from 5°C to 40°C.
The volumetric expansion coefficient of water is given as 385 x 10^-6/°C. This means that for every degree Celsius increase in temperature, the volume of water expands by 385 x 10^-6 times its original volume.
The initial volume of water in the container is 1 liter. The change in volume is given by:
Change in volume = Initial volume x volumetric expansion coefficient x change in temperature
Change in volume = 1 liter x 385 x 10^-6/°C x (40-5)°C
Change in volume = 1 x 385 x 10^-6 x 35
Change in volume = 0.013475 liters
Since the container was completely full at 5°C, the overflow is simply the change in volume of the water:
Overflow = 0.013475 liters
Therefore, the overflow when the water is heated from 5°C to 40°C is approximately 0.013475 liters.