# The amount of energy needed to heat 1.2g of a substance from 50.0 C to 80.0 C is 45.1 J what is the specific heat capasicity?

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zhirou Share
Feb 10, 2018

$\text{1.3J/g°C}$.

#### Explanation:

For this question, we should use $q = m C \Delta T$, where $q$ is heat gained or lost, $m$ is mass, $C$ is specific heat, and $\Delta T$ is temperature change.

$q$ would be $\text{45.1J}$.
$m$ would be $\text{1.2g}$.
$\Delta T$ would be $\text{final - initial" = 80 - 50 = "30°C}$.

Let's plug that into $q = m C \Delta T$ to solve for $C$:

"45.1J" = "1.2g" xx C xx 30°C
C = "45.1J" / ("1.2g" xx 30°C)
$C = 1.25277778 = \text{1.3J/g°C}$

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