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Two solid objects, A and B, are both at room temperature and then placed in boil

ID: 787835 • Letter: T

Question

Two solid objects, A and B, are both at room temperature and then placed in boiling water and allowed to come to temperature there.  Each is then lifted out and placed in separate beakers containing 1000 g of water at 10.0 oC.  Object A increases the water temperature by 7.20 oC; object B increases the water temperature by 1.50 oC.  In neither case does a chemical reaction occur.

Which statement must be true?

The specific heat capacity of object A is less and than the specific heat capacity of object B.

The heat capacity of objects A and B are equal.

The mass of objects A and B are equal.

The heat capacity of object A is greater than the heat capacity of B.

The specific heat capacity of object A is less and than the specific heat capacity of object B.

The heat capacity of objects A and B are equal.

The mass of objects A and B are equal.

The heat capacity of object A is greater than the heat capacity of B.

Explanation / Answer

"D" is the correct answer.

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heat lost by substance = heat gained by water. right?

ie...
(m Cp dT) substance = (m Cp dT) H2O

rearranging...
Cp substance = (m Cp dT) H2O / (m dT) substance.

and assuming final temp of A and B = the final temps of their respective beaker of water...and plugging in the numbers for the two scenarios...
Cp A = (1000g x 4.184J/g

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