Answer:
0.16 Cal.
Explanation:
What is given?
Specific heat of water (c) = 4.184 J/g °C.
Mass of water in can (m) = 48.6 g.
Change of temperature (ΔT) = 24.5 °C - 21.3 °C = 3.2 °C.
What do we need? The heat storedin Cheeto (Q).
Ste-by-step siolution:
To solve this problem, e have to use the following formula:
[tex]Q=c\cdot m\cdot\Delta T.[/tex]
Where Q is heat, c is the specific heat, m is the mass and ΔT is the change of temperature.
We just have to replace the given values in the formula:
[tex]\begin{gathered} Q=4.184\text{ }\frac{J}{g\text{ }\cdot\degree C}\cdot48.6\text{ g}\cdot3.2\degree C, \\ Q=650.7\text{ J.} \end{gathered}[/tex]
But we have to give the answer in units of Cal. Remember that 4.184 J equals 1 cal:
[tex]650.70\text{ J}\cdot\frac{1\text{ cal}}{4.184\text{ J}}=155.52\text{ cal.}[/tex]
But we want to find Cal. Remember that 1 Calorie equals 1000 calories. The conversion will look like this:
[tex]155.2\text{ cal}\cdot\frac{1\text{ Calorie}}{1000\text{ cal}}=0.155\text{ Calorie \lparen Cal\rparen.}[/tex]
The answer is that te heat stored in the Cheeto is 0.156Cal.