Mass of substance in a system (Heat transfer)

In summary, the problem is asking how much ice was in a 1.00 kg mixture of ice and water at 0.00 oC, when a 2.00 kg cube of nitrogen at -220.0oC was added and the final temperature of the mixture was -100.0 oC. The relevant equations for this problem are e=mct and e=mLv/f. To solve this problem, you need to calculate the energy needed to make nitrogen go from -220.0oC to -100.0 oC, taking into account that nitrogen is solid below -210C, liquid between -210C and -196C, and gas above -196C. This requires using 3 specific heats and
  • #1
Zoey Brown
17
0

Homework Statement


A solid, 2.00 kg cube of nitrogen at -220.0oC is added to a 1.00 kg mixture of ice and

water at 0.00 oC. If the final temperature of the mixture is -100.0 oC, how much ice was

there in the original mixture?

Homework Equations


e=mct
e=mLv/f

The Attempt at a Solution


Don't know where to start
 
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  • #2
Zoey Brown said:

Homework Statement


A solid, 2.00 kg cube of nitrogen at -220.0oC is added to a 1.00 kg mixture of ice and

water at 0.00 oC. If the final temperature of the mixture is -100.0 oC, how much ice was

there in the original mixture?

Homework Equations


e=mct
e=mLv/f

The Attempt at a Solution


Don't know where to start
heat gained = heat lost
 
  • #3
[Mentor's Note: The quoted post was deleted, but I'm leaving the quote since it should help the OP.]

Fizzix_G said:
Hi Zoey,

First you have to start off by calculating how much energy it takes to make nitrogen go to -100 degrees Celsius. Try doing this and the number you should get is 476 400 Joules.
Did you remember that N2 is liquid below -196C and gas above that temperature?
Oops, worse than that:
solid below -210C, liquid -210 < T < -196, gas at T > -196.
Need 3 specific heats and 2 latent heats!
 
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FAQ: Mass of substance in a system (Heat transfer)

What is the definition of mass?

Mass is a measure of the amount of matter in an object. It is a fundamental property of matter and is often measured in kilograms (kg).

How is mass related to heat transfer?

The mass of a substance in a system plays a crucial role in heat transfer. The amount of heat transferred is directly proportional to the mass of the substance. This means that the more mass there is in a system, the more heat is required to raise its temperature.

How does the specific heat capacity of a substance affect its mass in heat transfer?

The specific heat capacity of a substance is the amount of heat required to raise the temperature of 1 kilogram of the substance by 1 degree Celsius. This means that substances with a higher specific heat capacity require more heat to raise their temperature compared to substances with a lower specific heat capacity. Therefore, the mass of a substance with a high specific heat capacity will have a greater impact on heat transfer compared to a substance with a lower specific heat capacity.

How can the mass of a substance be measured in a system?

The mass of a substance in a system can be measured using a scale. This can be a laboratory balance or a digital scale, depending on the accuracy and precision required for the experiment.

Can the mass of a substance change during heat transfer?

Yes, the mass of a substance can change during heat transfer. This is because heat can cause a substance to change states, such as from solid to liquid or liquid to gas, which can alter its mass. Additionally, some substances may undergo chemical reactions during heat transfer, which can also change their mass.

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