Calculate Delta T expected from E transferred to internal heat of H2O

In summary, To calculate the temperature increase caused by energy transferred to the internal heat of water, you can use the law of conservation of energy. This can be done by considering a mass of water falling over a cascade and assuming that there is no net transfer of energy between the falling mass and surrounding water. The kinetic energy gained during the fall is then transferred to internal energy at the bottom of the waterfall. With a height of 365 meters, the question requires the unknown values of q and c. To solve this problem, you can use equations such as q = Lv m and q = m c ΔT.
  • #1
CrPhys

Homework Statement



Use the law of conservation of energy to calculate the temperature increase expected from energy transferred to internal heat of the water.
There is more than one way to do this. Consider a mass, m, of water which falls over the cascade. If you wish, you may take the mass of the water that you are considering to be 1.000 kg, though this is not essential. You should assume that there is no net transfer of energy between the mass of water that you are considering and the surrounding water and that all the kinetic energy of the water gained in the fall is transferred to internal energy as the water reaches the bottom of the waterfall.
The height of the drop is 365 m.
The question requires that q and c are unknown.

Homework Equations



q = Lv m
q = m c ΔT
any others that are needed?

The Attempt at a Solution



No idea where to start.
 
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  • #2
Hint:

In the fall to the collection point, the water will gain velocity. You can easily determine its kinetic energy when it hits the collection point in a number of ways. Since energy is conserved, the kinetic energy changes form as motion ceases. It changes from kinetic energy to heat.
 

FAQ: Calculate Delta T expected from E transferred to internal heat of H2O

How do you calculate delta T expected from E transferred to internal heat of H2O?

To calculate the change in temperature (delta T) expected from the energy (E) transferred to the internal heat of water (H2O), you can use the formula: delta T = E / (m x c). In this formula, "m" represents the mass of the water in grams, and "c" represents the specific heat capacity of water, which is approximately 4.18 J/g°C.

What is the specific heat capacity of water?

The specific heat capacity of water is the amount of energy required to raise the temperature of 1 gram of water by 1 degree Celsius. The specific heat capacity of water is approximately 4.18 J/g°C.

How does the mass of water affect the change in temperature?

The change in temperature (delta T) is directly proportional to the mass of water. This means that the larger the mass of water, the larger the change in temperature will be because more energy is required to raise the temperature of a larger amount of water by the same amount.

Can this calculation be used for any amount of water?

Yes, this calculation can be used for any amount of water. As long as you know the mass of water and the energy transferred to it, you can calculate the expected change in temperature using the formula: delta T = E / (m x c).

How accurate is this calculation?

This calculation is fairly accurate as long as the specific heat capacity of water is used and the energy transferred is solely used to raise the temperature of the water. However, there may be other factors that can affect the final change in temperature, such as heat loss to the surroundings, so it is important to consider these factors as well for a more precise calculation.

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