If 56 j of heat is added to an aluminum can with a mass of 19.6 g, what is its temperature change?

What is the T to start?

Or you can calculate delta T.

To find the temperature change, we need to use the formula:

๐‘ž = ๐‘š ร— ๐‘ ร— ฮ”๐‘‡

Where:
๐‘ž is the amount of heat energy transferred
๐‘š is the mass of the object (in grams)
๐‘ is the specific heat capacity of the material
ฮ”๐‘‡ is the change in temperature

Since we are given the heat added (๐‘ž = 56 J), the mass (๐‘š = 19.6 g), and we want to find the temperature change (ฮ”๐‘‡), we need to rearrange the formula to isolate ฮ”๐‘‡.

First, we need to find the specific heat capacity of aluminum. The specific heat capacity of aluminum is 0.897 J/gยทยฐC.

Now, let's rearrange the formula to solve for ฮ”๐‘‡:

ฮ”๐‘‡ = ๐‘ž / (๐‘š ร— ๐‘)

Substituting the given values:

ฮ”๐‘‡ = 56 J / (19.6 g ร— 0.897 J/gยทยฐC)

Calculating ฮ”๐‘‡:

ฮ”๐‘‡ = 3.03 ยฐC

Therefore, the temperature change of the aluminum can is 3.03 ยฐC.