Question

Between 0 degrees Celsius and 30 degrees Celsius, the volume V (in cubic centimeters) of 1 kg of water at a temperature T is given approximately by the formulaV=999.87−0.06426T+0.0085043T2−0.0000679T3Find the temperature at which water has its maximum density.Temperature = _______________degrees Celsius

Answer 1

4 degrees Celsius

Explanation:

Density = Mass / Volume

Density is Maximum when Volume is Minimum provided that the mass is constant.

As we are given a constant mass of 1 kg, we can use the given formula to tabulate the values of Volume at the values of temperature ranging from 0 to 30 degrees Celsius.

We will then select the value of temperature that provides us with the lowest Volume.

The tabulated results are attached and it can be seen that the minimum Volume (highlighted) is at 4 degrees Celsius.

Hence, we will have the maximum density at 4 degrees Celsius.