# The table below shows the specific heats of several metals. The temperature of a 15-g sample of an unknown metal increases from 20.0 C to 30.0 C when it absorbs 67.5 J of heat. Which of the metals in the table below could be the unknown metal?

May 30, 2017

It could be Iron.

#### Explanation:

the heat $Q$ absorbed by the metal is:

$Q = m c \Delta T$

or in numbers:

$67.5 = 15 \cdot c \cdot \left(30 - 20\right)$

$c = \frac{67.5}{15 \cdot 10} = 0.45 \frac{J}{g K}$

The difference of temperature in Celsius is the same as in Kelvin.