The specific heat capacity of aluminum is 0.22 cal/g°C. How much energy needs to flow into 20.0 grams of aluminum to change its temperature by 15°C?
How do i set this problem up to solve it?
energy= mass*specific heat*changeTemp
solve for the change in Temperature.
So it is 66 ?
To solve this problem, you can use the formula:
Q = m * c * ΔT
Where:
Q is the amount of heat energy transferred
m is the mass of the substance (in grams)
c is the specific heat capacity of the substance (in cal/g·°C)
ΔT is the change in temperature (in °C)
In this case:
m = 20.0 g
c = 0.22 cal/g·°C
ΔT = 15°C
Plug in these values into the formula to find the answer.
To solve this problem, you can use the formula for calculating the heat energy:
Q = m * c * ΔT
Where:
Q = heat energy (in calories)
m = mass of the substance (in grams)
c = specific heat capacity of the substance (in cal/g°C)
ΔT = change in temperature (in °C)
Now, let's set up the problem and solve it step by step:
1. Given:
Specific heat capacity of aluminum (c) = 0.22 cal/g°C
Mass of aluminum (m) = 20.0 grams
Change in temperature (ΔT) = 15°C
2. Use the formula:
Q = m * c * ΔT
Substituting the given values:
Q = 20.0 g * 0.22 cal/g°C * 15°C
3. Perform the multiplication:
Q = 66 cal/g°C * 15°C
4. Calculate the final result:
Q = 990 cal
Therefore, 990 calories of energy need to flow into 20.0 grams of aluminum to change its temperature by 15°C.