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What is the change in internal energy if 60 J of heat is released from a system and 30 J of work is done on the system? Use U =
1 answer:
The change in internal energy of the system is +30 J
Explanation:
We can solve this problem by using the first law of thermodynamics, which states that the change in internal energy of a system is given by the equation:
where
is the change in internal energy
Q is the heat absorbed by the system (positive if it is absorbed, negative if it is released)
W is the work done by the system (positive if it is done by the system, negative if it is done by the surroundings on the system)
Therefore, in this problem, we have
(heat released by the system)
(work done on the system)
Therefore, the change in internal energy is
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is the specific heat capacity of water
is the variation of temperature of the water.
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where
is the mass of the ice while 
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Re-arranging this formula and using the heat Q that we found previously, we can calculate the mass of the ice:
where
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This is the amount of heat released by the water, but this is exactly equal to the amount of heat absorbed by the ice, used to melt it into water according to the formula:
where
Re-arranging this formula and using the heat Q that we found previously, we can calculate the mass of the ice: