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 ?

Mar 2, 2015

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

$q = m \cdot c \cdot \Delta T$, 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;
$\Delta T$ - the difference between the final and the initial temperature - in your case ${80}^{\circ} \text{C}$ and ${50}^{\circ} \text{C}$;

So, plug all the data into the equation

$q = m \cdot c \cdot \Delta T \implies c = \frac{q}{m \cdot \Delta T}$

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