Respuesta :
Answer:
The answer to the question is
The equilibrium temperature T = 22.016 °C
Explanation:
To solve the question, we note the given variables thus
Mass of copper block =235 grams
Temperature of the copper block = 255 °C
Mass of aluminium calorimeter cup = 155 g
Mass of water in calorimeter cup = 16 °C
Also we note the specific heat capacities of the materials involved in the question
Specific heat capacity of water = 4.186 joule/gram
Specific heat capacity of copper= 0.385 joule/gram
Specific heat capacity of aluminium = 0.900 joule/gram
There for from the first law of thermodynamics, energy is neither created nor destroyed but it changes from one form to another, we have
Heat lost by copper = heat gained by water and the calorimeter cup
Therefore we have
The equation for heat capacity =
mass * specific heat capacity * Temperature change = m·c·ΔT
therefore
m·c·ΔT for copper = m·c·ΔT for aluminium + m·c·ΔT for water
where ΔT on the left of the equation = Initial temperature - final temperature
while on the right ΔT = Final temperature - Initial temperature
and the final temperature in this case = the equilibrium temperature
255*0.385*(255 -T) = 155*0.9*(T-16) +875*4.186*(T-16)
Which gives the equilibrium temperature T = 22.016 °C
