Amount of energy rerquired to raise temperature

In summary, the amount of energy required to raise the temperature of 12.0 kg of water from 0 degrees Celsius to 25 degrees Celsius is 300,286 calories or 1,257,000 Joules. Both methods used, (12000 grams)*(1 calorie/g*K)*25 and (12 kg)*(4.19x10^3)*(25 degrees), result in the same answer. The units of the answer can be either calories or Joules, depending on the preference of the person asking the question.
  • #1
chaotiiic
26
0

Homework Statement


What amount of energy is required to raise the temperature of 12.0 kg of water
from 0 degrees Celsius to 25 degrees Celsius?


Homework Equations


Q = m*c*ΔT
1 calorie = 4.186J
specific heat capacity for water = 4.19x10^3


The Attempt at a Solution


Q = m*c*ΔT = (12kg)(4.19x10^3)(25°) = 1,257,000J
1257000J/4.186 = 300,286 calories
 
Physics news on Phys.org
  • #2
chaotiiic said:

Homework Statement


What amount of energy is required to raise the temperature of 12.0 kg of water
from 0 degrees Celsius to 25 degrees Celsius?


Homework Equations


Q = m*c*ΔT
1 calorie = 4.186J
specific heat capacity for water = 4.19x10^3


The Attempt at a Solution


Q = m*c*ΔT = (12kg)(4.19x10^3)(25°) = 1,257,000J
1257000J/4.186 = 300,286 calories

Did you have a question about your method or result?
 
  • #3
gneill said:
Did you have a question about your method or result?
both.
another method i found online was to do (12000grams)*1cal/(g*K)*25 = 300,000 calories which is close to my first result. also i wasnt sure if the answer should be in joules or calories.
 
  • #4
chaotiiic said:
both.
another method i found online was to do (12000grams)*1cal/(g*K)*25 = 300,000 calories which is close to my first result. also i wasnt sure if the answer should be in joules or calories.

Both methods amount to the same thing. As for the units of the result, that depends upon who is asking the question and what units they expect the answer to be in :smile: The calorie is a unit of energy, as is the Joule.
 
  • #5
gneill said:
Both methods amount to the same thing. As for the units of the result, that depends upon who is asking the question and what units they expect the answer to be in :smile: The calorie is a unit of energy, as is the Joule.
ok thanks
 

1. How does the amount of energy required to raise temperature vary between different substances?

The amount of energy required to raise the temperature of a substance depends on its specific heat capacity. This is a measure of the amount of energy required to raise the temperature of 1 gram of the substance by 1 degree Celsius. Different substances have different specific heat capacities, so the amount of energy required to raise their temperature will vary.

2. Does the amount of energy required to raise temperature change with the initial temperature of the substance?

Yes, the amount of energy required to raise the temperature of a substance does change with its initial temperature. This is because the specific heat capacity of a substance can vary with temperature. In general, the higher the initial temperature, the less energy is required to raise its temperature by a certain amount.

3. How is the amount of energy required to raise temperature related to the mass of the substance?

The amount of energy required to raise the temperature of a substance is directly proportional to its mass. This means that the more mass a substance has, the more energy is required to raise its temperature by a certain amount. This relationship is described by the equation Q = m x c x ΔT, where Q is the amount of energy, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature.

4. Can the amount of energy required to raise temperature be calculated for a given substance?

Yes, the amount of energy required to raise the temperature of a substance can be calculated using the equation Q = m x c x ΔT. The specific heat capacity of a substance can be found in reference tables, and the mass and change in temperature can be measured or given. This calculation can also be used to determine the specific heat capacity of an unknown substance.

5. How does the amount of energy required to raise temperature differ between raising the temperature by a certain amount and raising it to a specific temperature?

The amount of energy required to raise the temperature of a substance by a certain amount is different from the amount required to raise it to a specific temperature. When raising the temperature by a certain amount, the equation Q = m x c x ΔT can be used, where ΔT is the desired change in temperature. However, when raising the temperature to a specific temperature, the equation Q = m x c x ΔTf - Ti can be used, where Tf is the final temperature and Ti is the initial temperature. This takes into account the energy required to reach the specific temperature as well as the change in temperature.

Similar threads

  • Introductory Physics Homework Help
Replies
3
Views
958
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
7
Views
8K
  • Introductory Physics Homework Help
Replies
3
Views
843
  • Introductory Physics Homework Help
Replies
13
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
1K
  • Introductory Physics Homework Help
Replies
5
Views
1K
  • Introductory Physics Homework Help
Replies
4
Views
2K
  • Introductory Physics Homework Help
2
Replies
41
Views
4K
  • Introductory Physics Homework Help
Replies
2
Views
722
Back
Top