Answer:
17.41°C is the change in temperature of the aluminum block.
Explanation:
Latent heat of fusion water = 334 J/g
Heat required to freeze 1 gram of water = -334 J
Heat required to freeze 2.58 grams of water = Q
![Q=2.58 g\times (-334 J/g)=-861.72 J](https://tex.z-dn.net/?f=Q%3D2.58%20g%5Ctimes%20%28-334%20J%2Fg%29%3D-861.72%20J)
Heat lost by water will be equal to heat gained by the aluminum block
![Q'=-Q](https://tex.z-dn.net/?f=Q%27%3D-Q)
![Q'= -(-861.72 J)=861.72 J](https://tex.z-dn.net/?f=Q%27%3D%20-%28-861.72%20J%29%3D861.72%20J)
Formula used to calculate heat absorbed by substance:
![Q=mc\Delta T](https://tex.z-dn.net/?f=Q%3Dmc%5CDelta%20T)
Where:
Q = heat absorbed by substance
c = specific heat of substance
m = Mass of the substance
ΔT = change in temperature of the substance
We have :
Mass of aluminum block= m= 55 g
Heat capacity of aluminum = c = 0.9 J/g°C
Change in temperature of the aluminum block= ΔT = ?
Heat absorbed by the aluminum = Q'
![861.72 J=55 g\times 0.9 J/g^oC\times \Delta T](https://tex.z-dn.net/?f=861.72%20J%3D55%20g%5Ctimes%200.9%20J%2Fg%5EoC%5Ctimes%20%5CDelta%20T)
![\Delta T=17.41 ^oC](https://tex.z-dn.net/?f=%5CDelta%20T%3D17.41%20%5EoC)
17.41°C is the change in temperature of the aluminum block.