If Aluminum has .22 K/cal and Iron has .12 kcal and each of them has 1.10kcal. Which would be higher in degerees? (Would it be Iron or Aluminum)
To determine which metal would have a higher temperature, we need to consider their specific heat capacities. The specific heat capacity is the amount of heat required to raise the temperature of a substance by a certain amount.
Let's use the equation:
Q = mcΔT
Where:
Q = heat energy (in calories)
m = mass (in grams)
c = specific heat capacity (in calories/gram °C)
ΔT = change in temperature (in °C)
Given that the heat energy for both aluminum and iron is 1.10 kcal, we can set up the equation like this:
1.10 kcal = m * c * ΔT
Rearranging the equation to solve for ΔT, we get:
ΔT = 1.10 kcal / (m * c)
Since the mass and specific heat capacity are not provided, we cannot determine the exact temperature change for each metal.
However, if we assume that the mass (m) and specific heat capacity (c) are the same for both aluminum and iron, we can compare their temperature changes. In this case, since the same amount of heat energy is provided, the metal with the lower specific heat capacity (c) will have a greater temperature change (ΔT).
Given that aluminum has a specific heat capacity of 0.22 kcal, and iron has a lower specific heat capacity of 0.12 kcal, we can conclude that aluminum would have a higher increase in temperature compared to iron if both metals had the same mass and specific heat capacity.