if it takes 105 calories to warm 100 g of aluminum from 20 c to 25 c what is the specific heat of aluminum
it is hot
To find the specific heat of aluminum, you can use the formula:
Q = m * c * ΔT
Where:
- Q is the amount of heat energy transferred (in calories),
- m is the mass of the substance (in grams),
- c is the specific heat of the substance (in cal/g°C), and
- ΔT is the change in temperature (in °C).
In this case, we know:
- Q = 105 calories
- m = 100 g
- ΔT = 5°C (since the temperature is increasing from 20°C to 25°C)
Now we can rearrange the formula to solve for c:
c = Q / (m * ΔT)
Plugging in the given values:
c = 105 calories / (100 g * 5°C)
Simplifying the calculation:
c = 0.21 cal/g°C
Therefore, the specific heat of aluminum is approximately 0.21 cal/g°C.
To find the specific heat of aluminum, we can use the formula:
Q = mcΔT
Where:
Q = heat energy absorbed or released by the substance (in calories)
m = mass of the substance (in grams)
c = specific heat of the substance (in calories/gram °C)
ΔT = change in temperature (in °C)
In this case, we are given:
Q = 105 calories
m = 100 g
ΔT = (25 °C) - (20 °C) = 5 °C
Substituting the given values into the formula, we can solve for c:
105 = (100)(c)(5)
Dividing both sides by 500:
c = 105 / 500
Simplifying:
c = 0.21 calories/gram °C
Therefore, the specific heat of aluminum is approximately 0.21 calories/gram °C.