10 gm of ice at − 20 ∘ C is dropped into a calorimeter containing 10 gm of water at 10 ∘ C . The specific heat of water is twice that of ice. Neglect heat capacity of the calorimeter. When equilibrium

Question

10 gm of ice at − 20 ∘ C is dropped into a calorimeter containing 10 gm of water at 10 ∘ C . The specific heat of water is twice that of ice. Neglect heat capacity of the calorimeter. When equilibrium is reached, the calorimeter will contain

TestHub · Accepted Answer

Heat released by water cooling to 0 ∘ C : Q w ​ = 10 c w ​ ( 10 ) = 100 c w ​ Heat needed to warm ice to 0 ∘ C : Q i ​ = 10 2 c w ​ ​ ( 20 ) = 100 c w ​ No heat remains for melting, and no water needs to freeze. The final mixture has 10 g ice and 10 g water.

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