## Specific Heat

If the specific heat for gold is 129 J/kg∙K, how much heat energy is needed to raise the temperature of 200 g of gold by 30 K?

##
__
__**Hint**

**Hint**

When heat energy is applied to an object, the temperature is impacted by a specific amount. Specific heat is a value that describes the relationship between heat energy and temperature, and is unique for every material.

##
__
__**Hint 2**

**Hint 2**

$$$Q=mc_{p}(\Delta T)$$$

where
$$Q$$
is the heat energy applied to a system,
$$m$$
is the object's mass,
$$c_p$$
is the specific heat (at constant pressure), and
$$\Delta T$$
is the temperature change

When heat energy is applied to an object, the temperature is impacted by a specific amount. Specific heat is a value that describes the relationship between heat energy and temperature, and is unique for every material.

$$$Q=mc_{p}(\Delta T)$$$

where
$$Q$$
is the heat energy applied to a system,
$$m$$
is the object's mass,
$$c_p$$
is the specific heat (at constant pressure), and
$$\Delta T$$
is the temperature change

$$$Q=(.2kg)129\frac{J}{kg\cdot K}(30K)=774\:J$$$

774 J