# To sterilize a 50.0 g glass baby battle, we must raise its temperature from 22°C to 95.0°C. How much heat is required?

Jun 16, 2018

$3066$ joules

#### Explanation:

We use the specific heat equation, which states that,

$q = m c \Delta T$

where:

• $q$ is the heat energy supplied in joules

• $m$ is the mass of substance

• $c$ is the specific heat capacity of the substance, which is $\left(0.84 \setminus \text{J")/("g"""^@"C}\right)$ for pure glass (source)

• $\Delta T$ is the change in temperature

So, we get:

q=50color(red)cancelcolor(black)"g"*(0.84 \ "J")/(color(red)cancelcolor(black)"g"color(red)cancelcolor(black)(""^@"C"))*(95^@"C"-22^@"C")

=50color(red)cancelcolor(black)"g"*(0.84 \ "J")/(color(red)cancelcolor(black)"g"color(red)cancelcolor(black)(""^@"C"))*73color(red)cancelcolor(black)(""^@"C")

$= 3066 \setminus \text{J}$