I figuring out the kg of ice can you melt

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To determine how many kilograms of ice can be melted with 178,000 calories of heat, it's essential to convert calories to joules, as 1 calorie equals approximately 4.184 joules. The relevant equation for melting ice is based on latent heat, specifically Q = mL, where L is the latent heat of fusion for ice (approximately 80 cal/g). Converting 178,000 calories to joules gives about 743,000 joules. Understanding the concept of latent heat is crucial for solving this problem effectively.
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Homework Statement



The exact question is "how many kg of ice can you melt, assuming it is at the melting point, with 178,000 cal of heat"

Homework Equations





The Attempt at a Solution


I can't give any other imformation. I have know idea where to even, start with solving this problem. I really need help! Big test tomorrow...
 
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Well how much Joules is 178,000 calories? What formula will show you the energy required to melt 'm' kilograms of ice? (Hint: what equation do you use for heat required to change the phase of a substance? Not sensible heat but?)
 
The equation for heat I believe is Q = mcΔT or Q=cpmΔT
I am still totally lost. I have no ideas how many joules are in 178,000 calories all this looks pretty foreign to me. I need help breaking this down, to have any chance of passing this test tomorrow.
 
cwalker8184 said:
The equation for heat I believe is Q = mcΔT or Q=cpmΔT

Right, that's the equation if I want to find how much heat I need to raise the temperature of something. That's called sensible heat.


cwalker8184 said:
I am still totally lost. I have no ideas how many joules are in 178,000 calories all this looks pretty foreign to me. I need help breaking this down, to have any chance of passing this test tomorrow.

Have you ever heard of latent 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}...
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