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Thermal Properties Of Matter

Question
CBSEENPH11026450

If 10goficeis added to 40 g of water at 15°C, then the temperature of the mixture is(specific heat of water = 4.2 x 103 J kg-1K-1, Latent heat of fusion of ice = 3.36 x 105 J kg-1 )

  • 15 oC

  • 12 oC

  • 10 oC

  • 0 oC

Solution

D.

0 oC

Heat lost by water to come from 15 oC to 0 oC is

          H1 = m s ΔT

           H1401000 × (4.2 × 103 ) × ( 15 - 0 )

           H1   = 2520 J

Heat required to convert 10 g ice into 10 g water at 0°C is

           H2 = mL

                 = 101000 × ( 3.36 × 105 )

           H2 = 3360 J

Since H2 > H1, so the whole ice will not be converted into water, whereas the temperature of the whole water will be 0oC.

Therefore the temperature of the mixture is 0oC.