The temperature of an object is how cold or hot it is.
The final temperature is 12.3 degrees Celsius
<h3>How to determine the
final temperature </h3>
The given parameters are:
--- the heat of vaporization
--- the specific heat of Aluminum
--- the mass of alcohol
-- the molecular mass of alcohol
Start by calculating the moles of alcohol using:
![Moles = \frac{Mass}{Molecular\ Weight}](https://tex.z-dn.net/?f=Moles%20%3D%20%5Cfrac%7BMass%7D%7BMolecular%5C%20Weight%7D)
So, we have:
![n = \frac{1.12g}{60.1g/mol}](https://tex.z-dn.net/?f=n%20%3D%20%5Cfrac%7B1.12g%7D%7B60.1g%2Fmol%7D)
![n= 0.0186\ mol](https://tex.z-dn.net/?f=n%3D%200.0186%5C%20mol)
Next, calculate the amount of heat absorbed by the alcohol using:
![n * \Delta H_{vap} = -m_{alcohol}* C_p * \Delta T](https://tex.z-dn.net/?f=n%20%2A%20%5CDelta%20H_%7Bvap%7D%20%3D%20-m_%7Balcohol%7D%2A%20C_p%20%2A%20%5CDelta%20T)
The mass of alcohol is 73 grams. So, we have:
![0.0186 * 45.4 = -73* 0.903 * \Delta T](https://tex.z-dn.net/?f=0.0186%20%2A%2045.4%20%3D%20-73%2A%200.903%20%2A%20%5CDelta%20T)
Evaluate the products
![0.84 = -65.92* \Delta T](https://tex.z-dn.net/?f=0.84%20%3D%20-65.92%2A%20%5CDelta%20T)
Divide both sides by -65.92
![\Delta T = -0.0127](https://tex.z-dn.net/?f=%5CDelta%20T%20%3D%20-0.0127)
Express as degrees Celsius
![\Delta T = -12.7](https://tex.z-dn.net/?f=%5CDelta%20T%20%3D%20-12.7)
Also, we have:
--- the difference in the initial and the final temperatures.
This gives
![-12.7 = T_f - 25](https://tex.z-dn.net/?f=-12.7%20%3D%20T_f%20-%2025)
Collect like terms
![T_f = 25 - 12.7](https://tex.z-dn.net/?f=T_f%20%20%3D%2025%20-%2012.7)
![T_f = 12.3](https://tex.z-dn.net/?f=T_f%20%20%3D%2012.3)
Hence, the final temperature is 12.3 degrees Celsius
Read more about specific heat at:
brainly.com/question/13709049