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

AI Thread Summary
The discussion focuses on calculating the temperature increase of water due to energy transferred from its kinetic energy as it falls over a 365 m cascade. The law of conservation of energy is emphasized, indicating that all kinetic energy converts to internal energy upon reaching the bottom. Participants are encouraged to consider a mass of 1 kg of water for simplicity, although this is not mandatory. Key equations mentioned include q = m c ΔT and the need to determine kinetic energy at impact. The conversation highlights the transition of energy forms and the challenge of starting the calculations.
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.
 
Physics news on Phys.org
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.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Thread 'Struggle to understand the concept of the question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »

Similar threads

Thermodynamics: Internal Energy, Heat and Work Problem
Replies
1
Views
2K
Do you need to account for the water heating up to the boiling point?
Replies
23
Views
2K
I try to solve a thermodynamics problem on heat transfer
Replies
3
Views
2K
Change in system entropy in relation to heat transfer
Replies
2
Views
1K
Heat Transfer: Effect of a Heat Fin
Replies
4
Views
2K
Physics Homework about using Electricity to Heat Flowing Water
Replies
9
Views
1K
Calculate the Heat Loss in a Hot Water Tank from a Shower
Replies
2
Views
3K
How to find internal energy with constant temperature?
Replies
3
Views
2K
Heat transfer to solution per litre
Replies
2
Views
1K
How Do You Calculate Heat Transfer in a Thermodynamics Piston Problem?
Replies
5
Views
3K

Hot Threads

Recent Insights

Back
Top