Question

identify the type of relationship that exists between density and temperature, and explain your answer.

Explanation:

Density is mass per unit volume ($
ho=\frac{m}{V}$). When temperature increases, for most substances (except water in the range \(0 - 4^{\circ}C\)), volume increases (thermal expansion). Since mass \(m\) is constant (assuming no phase - change and no mass loss), if \(V\) increases, \(
ho\) decreases. So, there is an inverse relationship.

Answer:

There is an inverse relationship between density and temperature. As temperature increases (for most substances), volume increases (due to thermal expansion) while mass remains constant. Using the formula \(
ho=\frac{m}{V}\), when \(V\) increases and \(m\) is constant, \(
ho\) decreases.