Ice at 0 degrees celsius is added to 200g of water initially at 70 degree celsius in a vacuum flask when 50g of ice has been added and has all melted the temperature
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The final temperature is equal to 40°C.
Let T be the final temperature.
Specific heat of water = 1 cal/gm
Latent heat of fusion = L = 80 cal/gm
When the ice is added to the water at 70°C ,then the ice completely melts . The melted ice with the water will reach at an equilibrium temperature .
At equilibrium -
Amount of heat lost = amount of heat gained
=> m1 × s × (70 -T) = m2L + m2 × s × (T-0)
=> 200 × 1 × (70-T) = 50 × 80 + 50 × 1 × (T)
=> 14000 - 200T = 4000 + 50T
=> 250T = 10000
=> T= 40°C
The final temperature is equal to 40 °C.
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