12. A student wants to determine the identity of an unknown metal. The students heat the 25.0g chunk of metal to 122.8. °C, then drops it into 50.0g of water at 34.7 °C. After waiting, the final temperature of the water is 38.5 °C. (Use 4.184 J/g•°C as the specific heat of water.) From the following metals, what is the best guess for the identity of the unknown metal? A. Aluminum (specific heat capacity of 0.921 J/g•°C) B. Copper (specific heat capacity of 0.377 J/g•°C) C. Stainless Steel (specific heat capacity of 0.502 J/ge C)
Principle:
The following relation is used to determine the heat absorbed or released by a substance during a process.
The heat released is mentioned by a negative sign in the above equation.
where
m- the mass of the substance
C-Specific Heat Capacity of the substance
- Change in Temperature = Final Temperature - Initial Temperature
Given:
Mass of the metal (mm)= 25.0g
Initial Temperature of Metal(Tm1) = 122.8
Mass of water(mw) = 50.0g
Specific Heat Capacity of water(Cw) = 4.184 J/g
Initial Temperature of Water(Tw1)= 34.7
Final Temperature of Metal (Tm2) and water (Tw2) = 38.5
To Find:
Identity of Unknown metal
Method:
Finding the specific heat capacity of the metal (Cm)and comparing it with the given metals.
The heat absorbed by water always equals the heat released by the metal after dropping the metal in water.
The following relation is used for the calculation.
The heat released by Metal (-Qm)= The heat absorbed by water(Qw)
Step by step
Solved in 3 steps
