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Answer:
1.
The energy lost by the water is given by:
where
m = 3.0 kg = 3000 g is the mass of water
Cs = 4.179 J/g•°C is the specific heat
is the change in temperature
Substituting,
2.
The energy added to the aluminium is given by:
where
m = 0.30 kg = 300 g is the mass of aluminium
Cs = 0.900 J/g•°C is the specific heat
is the change in temperature
Substituting,
4. 42.9 g
The mass of the water sample is given by
where
is the heat added
is the temperature change
Cs = 4.179 J/g•°C is the specific heat
5. 115.5 J
The heat used to heat the copper is given by:
where
m = 5.0 g is the mass of copper
Cs = 0.385 J/g•°C is the specific heat
is the change in temperature
6. 0.185 J/g•°C
The specific heat of iron is given by:
where
Q = -47 J is the heat released by the iron
m = 10.0 g is the mass of iron
is the change in temperature
Substituting,
Substituting,
Substituting,
Explanation: