How Does Temperature Affect the Density of an Object?

[Patricia Reid]

Homework Statement

An object has a density of 1250 kg /m³ at 10^◦C and a coefficient of linear expansion of α = 2.5 × 10−5 1 /K . What is the object’s density when the temperature is 25^◦C?

Homework Equations

V=βV₀ΔT
V(T)=(1+β(Δt))V₀

The Attempt at a Solution

How I got the answer is that I used V(T)=(1+β(Δt))V₀ and substituted v=m/ρ and after some algebra gave me the correct answer of 1248.6 kg/m²

When I used the first equation I listed I didn't get the correct answer... I was just wondering what the difference is in the equations and when to use themThanks in advance!

 

[Orodruin]

The first equation is not for the volume, it is for the change of volume. You can see this by inserting zero temperature difference (you will get zero and not the volume).