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Illustration 1.15 A lump of ice of 0.1 kg at -10°C isput in 0.15 kg of water at 20°C. How much water and icewill be found in the mixture when it has reached thermalequilibrium? Specific heat of ice = 0.5 kcal/kg/K and itslatent heat of melting = 80 kcal/kg. |
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Answer» Explanation: (HEAT NEEDED TO CONVERT ICE FROM –10°C TO 0°C) +( HEAT NEEDED TO CONVERT INTO WATER AT 0°C)= ms(t2–t1) + mL = 0.1 * 0.5 * 10 + 0.1 *80 = 8.5 kcal WE ALSO HAVE WATER AT 20°C .... HEAT LOST IN CONVERTING WATER FROM 20°C TO 0°C = ms(t2–t1) = 0.15 * 1 * 20 = 3 kcal THIS HEAT IS NOT SUFFICIENT TO CONVERT ALL ICE INTO WATER ...... HENCE ONLY SOME AMOUNT OF ICE WILL MELT INTO WATER.... LET THAT AMOUNT OF ICE MELTED BE x kg Heat GAINED by ice = Heat lost by water x * 0.5 *10 + x*80 = 3 x(5+80) = 3 x = 3/85 x = 0.035 kg TOTAL WATER AT EQUILIBRIUM = 0.15 + 0.035 kg = 0.185 kg THANKS AND MARK ME AS BRAINLIEST. |
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