Calculating Heat Transfer: Specific Heat Homework"

In summary, specific heat is the amount of heat energy needed to raise the temperature of one gram of a substance by one degree Celsius, and it is calculated by dividing the heat transferred by the mass and the change in temperature. The formula for heat transfer is Q = mcΔT, where Q is the heat transferred, m is the mass, c is the specific heat, and ΔT is the change in temperature. Specific heat differs from heat capacity, as it is an intrinsic property of a substance while heat capacity depends on the amount of the substance. During a phase change, the temperature remains constant while heat energy is added or removed, and the amount of heat transfer can be calculated using Q = mL, where m is the mass and
  • #1
appdulrahman
1
0

Homework Statement



media%2F55e%2F55eb4f41-1deb-461c-bf10-11429d476828%2FphpHNRrk2.png


Homework Equations


Is my work right? This is the last attempt I got :/

The Attempt at a Solution


Specific heat of water = 4.187 J/g.K
Heat released by hot metal = mass x specific heat x temperature change
= 99 x c x (100 - 21.4) = 7781.4c
Heat absorbed by water = mass x specific heat x temperature change
= 403 x 4.187 x (21.4 - 20.0) = 2362.305 J
Heat absorbed by container = mass x specific heat x temperature change
= 212 x c x (21.4 - 20.0) = 296.8c
Total heat released = total heat absorbed
7781.4c = 2362.305 + 296.8c
Specific heat of the metal = c = 0.3156 J/g.K = 0.3156 kJ/kg.K
 
Last edited:
Physics news on Phys.org
  • #2
Looks reasonable.
 

1. What is specific heat and how is it calculated?

Specific heat is the amount of heat energy required to raise the temperature of one gram of a substance by one degree Celsius. It is calculated by dividing the amount of heat transferred by the mass of the substance and the change in temperature.

2. What is the formula for calculating heat transfer?

The formula for calculating heat transfer is Q = mcΔT, where Q is the amount of heat transferred, m is the mass of the substance, c is the specific heat, and ΔT is the change in temperature.

3. What is the difference between specific heat and heat capacity?

Specific heat is the amount of heat energy required to raise the temperature of one gram of a substance by one degree Celsius. Heat capacity, on the other hand, is the amount of heat energy required to raise the temperature of a given sample of a substance by one degree Celsius. The main difference is that specific heat is an intrinsic property of a substance, while heat capacity depends on the amount of the substance.

4. How do you calculate heat transfer in a phase change?

During a phase change, the temperature of a substance remains constant while heat energy is being added or removed. The amount of heat transfer during a phase change can be calculated using the formula Q = mL, where m is the mass of the substance and L is the specific heat of the phase change (latent heat).

5. How does the specific heat of a substance affect heat transfer?

The specific heat of a substance determines how much heat energy is required to raise its temperature. Substances with a higher specific heat require more heat energy to raise their temperature compared to substances with a lower specific heat. This means that substances with a higher specific heat will have a lower rate of heat transfer, while substances with a lower specific heat will have a higher rate of heat transfer.

Similar threads

I try to solve a thermodynamics problem on heat transfer
    • Introductory Physics Homework Help
Replies
3
Views
947
How much ice to cool down this water?
    • Introductory Physics Homework Help
Replies
17
Views
3K
Specific Heat Question: Calculating Temperature Change with Copper and Water
    • Introductory Physics Homework Help
Replies
2
Views
1K
Calorimetry Lab Analysis (predict specific heat of unknown metal)
    • Introductory Physics Homework Help
2
Replies
54
Views
6K
What is the specific heat of the metal in this specific heat problem?
    • Introductory Physics Homework Help
Replies
3
Views
841
Finding Specific Heat of Unknown Metal
    • Introductory Physics Homework Help
Replies
3
Views
4K
Specific heat capacity, Q = mcθ
    • Introductory Physics Homework Help
Replies
3
Views
3K
Specific heat capacity of a solid material
    • Introductory Physics Homework Help
Replies
9
Views
1K
Calculating Specific Heat Capacity
    • Introductory Physics Homework Help
Replies
6
Views
1K
Why don't units have match for specific heat and mass
    • Introductory Physics Homework Help
Replies
21
Views
2K

Hot Threads

Recent Insights

Back
Top