How much heat is needed for converting 7 kg of ice to steam?

  • Thread starter DrMcDreamy
  • Start date
  • Tags
    Heat
In summary, to convert 7 kg of ice at 0◦C to steam at 100◦C, you will need a total of 5,036.5 kcal of heat. This is calculated by adding the heat needed for each stage: 700,000 cal for raising the temperature, 556,500 cal for melting, and 3,780,000 cal for vaporization. The formula used is Q=mcΔT for temperature change and Q=mL for phase change, where m is the mass and L is the specific heat or heat of fusion/vaporization.
  • #1
DrMcDreamy
68
0

Homework Statement



7 kg of ice at 0◦C is converted to steam at 100◦C. How much heat is needed? The heat of fusion for water is 79500 cal/kg, its heat of vaporization is 5.4 × 105 cal/kg, and its specific heat is 1000 cal/kg ·◦C. Answer in units of kcal.

Homework Equations



What is the formula that I am supposed to use?

Q=mc[tex]\Delta[/tex]T ?
 
Physics news on Phys.org
  • #2
You *also* need to use

Q = mL,
where m is the mass and L is the heat of fusion/vaporisation.R.
 
  • #3
you go from solid to liquid to gas, so you have to calculate the heat for each stage than add up the total of each stage. I think, also, for the vaporization you would use Q =ml where L = latent heat of vaporization.. and Q=ml again for latent heat of fusion/melting

I think that's how you do it...
 
Last edited:
  • #4
You should end up with 3 separate values for Q which you will have to add up.
 
  • #5
So:

Q=mc[tex]\Delta[/tex]T
Q=(7kg)(1000 cal/kg C)(100 C)
Q= 700,000 cal

heat of fusion:
Q=mL
Q=(7kg)(79500 cal/kg)
Q= 556,500 cal

heat of vaporization:
Q=mL
Q=(7kg)(5.4x105 cal/kg)
Q=3,780,000 cal

[tex]\sum[/tex]Q= 700,000 + 556,500 + 3,780,000

[tex]\sum[/tex]Q=5,036,500 cal = 5036.5kcal

Is that how?!
 
  • #6
Indeed :)
 
  • #7
Thank you!
 

1. How is heat measured?

Heat is typically measured in units of energy, such as joules or calories. It can also be measured in units of temperature, such as degrees Celsius or Fahrenheit. One common method of measuring heat is using a thermometer.

2. How much heat is needed to raise the temperature of a substance?

The amount of heat needed to raise the temperature of a substance depends on its specific heat capacity, which is a measure of how much energy is required to raise the temperature of a material by a certain amount. Different substances have different specific heat capacities, so the amount of heat needed will vary.

3. How do you calculate the amount of heat needed for a chemical reaction?

The amount of heat needed for a chemical reaction can be calculated using the equation Q = m x c x ΔT, where Q is the heat energy, m is the mass of the substance, c is the specific heat capacity, and ΔT is the change in temperature. This calculation is known as the heat capacity formula.

4. How does heat transfer occur?

There are three main ways that heat can transfer from one object to another: conduction, convection, and radiation. Conduction is the transfer of heat through direct contact, convection is the transfer of heat through the movement of fluids, and radiation is the transfer of heat through electromagnetic waves.

5. How can I determine the amount of heat needed for a specific process?

The amount of heat needed for a specific process can be determined using the principle of conservation of energy. This means that the amount of heat needed will be equal to the amount of energy required to perform the process. You can also use the specific heat capacity of the substance and the change in temperature to calculate the amount of heat needed.

Similar threads

  • Introductory Physics Homework Help
Replies
3
Views
972
  • Introductory Physics Homework Help
Replies
17
Views
3K
  • Introductory Physics Homework Help
Replies
9
Views
7K
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
12
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
4
Views
3K
  • Introductory Physics Homework Help
Replies
3
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
3K
  • Introductory Physics Homework Help
Replies
1
Views
2K
Back
Top