Question

An unknown mass of aluminum requires 6290 joules to raise the temperature from 23.9 degrees c to 80.0 degrees c what is the mass of aluminum.Aluminum: 0.900 J/g°C.

Answer 1

To relate the change in temperature of a mass of certain material with the given heat, we can use the following equation:

$q=m\cdot c\cdot\Delta T$

Where q is the heat, m is the mass, c the heat capacity of the material and ΔT is the temperature variation.

So, we can solve for m and substitute the kown values:

$m=\frac{q}{c\cdot\Delta T}=\frac{6290j}{0.900j/g\degree C\cdot(80.0-23.9)\degree C}=\frac{6290}{0.900\cdot56.1}g\approx125g$

So, the mas of aluminium is approximately 125g.