A 100g sample of hot copper is placed in a coffee cup calorimeter containing 100 grams of water at room temperature. After some
1 answer:
Answer:
Explanation:
When the hot copper and the liquid water reaches equilibrium, they have the same temperature; when this happens, the amount of heat released by the copper is equal to the amount of heat absorbed by the water:
where
is the mass of the copper
C_c=0.385 J/g˚C is the specific heat of copper
T_f=50˚C is the final temperature of both substances
is the mass of the water
C_w=4.184 J/g˚C is the specific heat of the water
T_c is the initial temperature of the copper
T_w=20˚C is the initial temperature of the water (room temperature)
Solving for T_c, we find:
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Now having information on the speed at the lowest point we can say that the energy of the system at this point is purely kinetic:
Where m is the mass of the pendulum. Because of conservation of energy, the total energy at maximum height won't change, but at this point the energy will be purely potential energy instead.
This is the part where we exploit the Energy's conservation, I'm really insisting on this fact right here but it's very very important, The totam energy Em was
It hasn't changed! So inserting this into the equation relating the total energy at the highest point we'll have:
Solving for h gives us:
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