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JEE Main201911 Jan 2019Morning ShiftPhysicsThermal Properties of MatterActual

Ice at -20^ C is added to 50 ~g of water at 40^ C , When the temperature of the mixture reaches 0^ C , it is found that 20 g of ice is still unmelted. The amount of ice added to the water was close to (Specific heat of water =4.2 ~J / g / ^ C Specific heat of Ice =2.1 ~J / g / ^ C Heat of fusion of water at .0^ C =334 ~J / g )

Options

  1. A50 ~g
  2. B100 ~g
  3. C60 ~g
  4. D40 ~g

Correct answer

D. 40 ~g

Step-by-step solution

Let m gram of ice is added. From principal of calorimeter heat gained (by ice) = heat lost (by water) array l 20 2.1 m +( m -20) 334 =50 4.2 40 376 ~m =8400+6680 ~m =40.1 array

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