# Find New Density of Heated Cube

• robertsa
In summary, when a cube with an original density of 869 kg/m3 and volume 125cm3 is heated to a new volume of 125.00255cm3, the new density can be found by calculating the change in volume using the linear expansion coefficient and the original volume, which results in a new volume of 125.31875cm^3. The mass remains constant as the number of atoms in the material does not change, so the new density can be found by dividing the original mass by the new volume.
robertsa

## Homework Statement

if the original density of a cube is 869 kg/m3 and volume 125cm3.. the cube is is heated to a new volume of 125.00255cm3 what's the new density

When you heat the cube, which quantity remains constant?

Can you tell us what equations you think are relevant and how you've attempted the problem?

Well i found the new volume first using Change V/V= linear expansion coeffecient(change tmp)... orginal v =125cm3...Delta V/125=17x10^-6 x 50... Change V=.31875 so the new volume is 125.31875cm^3... but I don't know how to find the new density..d=m/v... would mass not change even though the voume did

Mass doesn't change because the number of atoms in the material doesn't change. So yes, find the mass.

## What is the purpose of finding the new density of a heated cube?

The purpose of finding the new density of a heated cube is to understand how the density of a material changes when heated. This can help us understand the behavior of different materials and how they may react to changes in temperature.

## How is the density of a heated cube measured?

The density of a heated cube can be measured by first determining the mass of the cube and then measuring its volume. Then, using the formula density = mass/volume, the density can be calculated.

## What factors can affect the density of a heated cube?

The density of a heated cube can be affected by factors such as temperature, pressure, and the composition of the material. As temperature increases, the particles in the material gain more energy and move faster, causing the material to expand and decrease in density.

## Can the density of a heated cube change over time?

Yes, the density of a heated cube can change over time. As the cube cools down, the particles lose energy and slow down, causing the material to contract and increase in density. Additionally, if the material is undergoing a chemical reaction, the density can also change.

## How does the density of a heated cube compare to its original density?

The density of a heated cube will generally be lower than its original density. This is because the material expands when heated, causing the same mass to occupy a larger volume. However, this may not always be the case, as certain materials may undergo a change in composition when heated, which can affect their density.

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