Question

Show that the density of the body decreases with increase in temperature.

Answer 1

The density of a substance is its mass per unit volume. The density of gases is usually substantially lower than that of condensed phases. The liquid density of most materials is lower than the solid density, however this isn't always the case. Ice cubes float because water has a larger density in the liquid form than it does in the solid form.

Complete answer:
The term "temperature" refers to the measurement of heat. Density is the ratio of an entity's mass to its volume, and it is a measure of how tightly any particular thing is packed. The density and temperature relationship is inversely proportional. A change in density causes a change in temperature, and vice versa.

The relationship between density and temperature is proportional. That is, temperature has an inverse relationship with density. That is to say, given a unit of volume-
-The temperature drops as the density rises.
-Temperature rises when density decreases.
-As the temperature rises, the density decreases.
-When the temperature falls, the density rises.

Surface area and volume frequently increase as a result of heating. Because the body's mass remains constant, the density drops as a result. Again, when the temperature rises, the radius or length of a body expands, increasing the moment of inertia since the moment of inertia is proportional to the square of radius.

Note: Because volume changes with temperature, density varies as well. Mass divided by volume equals density. Because the faster moving molecules are wider apart when something heats up, the volume normally increases. Because the denominator represents volume, increasing the volume reduces the density.