Energy required to make 2.0 kg of steam

In summary, to create 2.0 kg of steam from 8.0 kg of water at 25 ˚C, 7.1 x 10^6 J of heat energy must be added.
  • #1
LonelyElectron
18
1

Homework Statement


A container holds 8.0 kg of water at 25 ˚C. How much energy must be added to the water to create 2.0 kg of steam?

Homework Equations


To be honest, not sure. SO MANY equations were given, and I don't know what is a variation of what.

The Attempt at a Solution


Q_total = Q_warm water + Q_boil water
=mc_wt+m_sL_v
= (8.0 kg)(4200 J/(kg* degrees C))(100 degrees C - 25 degrees C)+(2.0 kg)(2.3x10^6)
=2520000 J + 4600000 J
=7120000 J
=7.1 x 10^6 J

Therefore 7.1 x 10^6 J of heat energy have to be added to the water to create 2.0 kg of steam.

Does that make any sense?
 
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  • #2
LonelyElectron said:
Does that make any sense?
Yes, it makes a lot of sense.
 
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  • #3
kuruman said:
Yes, it makes a lot of sense.

Okay perfect! So its correct? You guys are the best. I hope you know how much your help is appreciated!
 
  • #4
LonelyElectron said:
So its correct?
Yes, it's correct.
 
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1. How is the energy required to make 2.0 kg of steam calculated?

The energy required to make 2.0 kg of steam is calculated using the formula: energy = mass x specific heat capacity x change in temperature. The specific heat capacity of water is 4.186 J/g°C, and the change in temperature is the difference between the boiling point (100°C) and the initial temperature of the water.

2. What is the specific heat capacity of water?

The specific heat capacity of water is 4.186 J/g°C. This means that it takes 4.186 joules of energy to raise the temperature of 1 gram of water by 1 degree Celsius.

3. How much energy is required to make 2.0 kg of steam?

The energy required to make 2.0 kg of steam can be calculated by multiplying the mass (2.0 kg) by the specific heat capacity of water (4.186 J/g°C) and the change in temperature (100°C). This results in 837.2 kJ of energy required to make 2.0 kg of steam.

4. What is the boiling point of water?

The boiling point of water is 100°C at standard atmospheric pressure. This is the temperature at which water transitions from a liquid to a gas state, or from liquid water to steam.

5. How does the energy required to make 2.0 kg of steam compare to other forms of energy?

The energy required to make 2.0 kg of steam is relatively high compared to other forms of energy. For example, the same amount of energy can power a 100-watt light bulb for about 2 hours, or charge a smartphone about 30 times. This is because a large amount of energy is needed to change the state of water from a liquid to a gas.

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