Question

The amount of energy needed to heat 2.00 g of carbon from 50.0°C to 80.0°C is 42.6 J. The specific heat capacity of this sample of carbon is ?

Answer 1

The specific heat of carbon will be 0.710 J/g * C.

You have all the information you need to determine carbon's specific heat by using

`q = m * c * DeltaT`, where

`q` - the amount of heat needed - in your case 42.6 J;
`m` - the mass of the sample - in your case 2.00 g;
`c` - the specific heat of carbon;
`DeltaT` - the difference between the final and the initial temperature - in your case `80^@"C"` and `50^@"C"`;

So, plug all the data into the equation

`q = m * c * DeltaT => c = q/(m * DeltaT)`

`c = "42.6 J"/("2.00 g" * (80.0-50.0)^@"C") = 0.710 "J"/("g" * ^@"C")`