Question
Fri March 27, 2015 By: Kvunni Hj

the temperature of ice is -10 degree celius and thet of water 60 degree celsius. they are mixed in equal amounts . what part of the ice will be melted?
 

Expert Reply
Priyanka Kumbhar
Mon March 30, 2015
begin mathsize 12px style Heat space supplied space by space water space to space cool space to space 60 degree space straight C comma space straight Q subscript 1 space equals space straight m space cross times straight c subscript straight w space cross times space increment straight T where comma space straight c subscript straight w space is space specific space heat space of space water space is space 1 space kcal space kg to the power of negative 1 end exponent space straight Q subscript 1 space equals space space straight m space cross times 1 space cross times space left parenthesis 60 space minus space 0 right parenthesis straight Q subscript 1 space equals space 60 space straight m Heat space accepted space by space ice space to space cool space to space 0 degree space straight C comma space straight Q subscript 1 space equals space straight m space cross times straight c subscript straight i space cross times space increment straight T straight c subscript straight i space be space space specific space heat space of space water space is space 0.5 space kcal space kg to the power of negative 1 end exponent straight Q 1 space equals space space straight m space cross times 0.5 space cross times space minus 10 space equals space 5 space straight m Latent space heat space of space ice space is space 80 space cal space straight g to the power of negative 1 end exponent Hence comma space total space heat space required space to space melt space ice space equals space 5 space straight m space plus 80 space straight m space equals space 85 space straight m let space straight m apostrophe space be space the space mass space of space ice space melted space space therefore space 60 space straight m space equals space 5 space straight m space plus space straight m apostrophe space 80 straight m apostrophe space cross times space 80 space equals equals space 55 space straight m fraction numerator straight m apostrophe over denominator straight m end fraction space equals space 55 over 80 space equals space 11 over 16 hence comma space 11 divided by 16 space part space of space the space ice space will space be space melted end style
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