Heat Capacity Calculation Check.

In summary, the calculation for the amount of time it would take to raise the temperature of the given mass of material is correct. The formula used is Q = m * c * (Tf - Ti) and the values used for this calculation are: m = 0.005 kg, c = 450 J/kgC, Tf = 45 C, Ti = 15 C. The result is 67.5 J, which is then divided by the power output of 14 W to determine the time needed, which is 4.82 seconds. However, the accuracy of this calculation may be affected by the speed of the temperature probe being used.
  • #1
grahamreitz
1
0
Hello PF,

Is the following calculation correct for the amount of time it would take to raise the temperature of a given mass of material?

Q = heat in J
W = watts
m = mass in kg
c = specific heat in J/kgC
Tf = temperature final
Ti = temperature initial

Q = m * c * (Tf - Ti)

m = 5 g = 0.005 kg
c = 450 J/kgC (Nichrome)
Tf = 45 C
Ti = 15 C

Q = (0.005) * (450) * (45 - 15) = 67.5 J

W = 14

Time to heat material from 15 C to 45 C at 14 W:

t = J / W = (67.5 J)/(14 W) = 4.82 s

I'm not measuring this empirically. Although, my temperature probe is a little slow.

Thanks,
Graham
 
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  • #2
Looks good to me.
 

Related to Heat Capacity Calculation Check.

1. What is heat capacity calculation check?

Heat capacity calculation check is a process used to determine the amount of heat energy required to raise the temperature of a substance by a certain amount. It is also known as specific heat capacity and is measured in units of energy per mass per degree Celsius (J/kg∙K).

2. Why is heat capacity important in scientific research?

Heat capacity is important because it helps us understand how different substances respond to changes in temperature. It also allows us to calculate the amount of heat energy needed for a particular process, which is crucial in fields such as thermodynamics, chemistry, and materials science.

3. How is heat capacity calculated?

Heat capacity is calculated by dividing the amount of heat energy transferred to a substance by the change in temperature of that substance. This is represented by the equation C = Q/ΔT, where C is the heat capacity, Q is the heat energy, and ΔT is the change in temperature.

4. What factors can affect heat capacity?

The heat capacity of a substance can be affected by several factors, including the mass of the substance, its composition, and its physical state (solid, liquid, or gas). Other factors such as pressure and temperature can also influence heat capacity.

5. How can heat capacity be experimentally determined?

Heat capacity can be experimentally determined by performing a calorimetry experiment, which involves measuring the change in temperature of a substance when a known amount of heat energy is added or removed. This allows for the calculation of the heat capacity using the equation mentioned in question 3.

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