5 gm ice at -10 C is mixed with 20 gm water at 30 C .What is finaln temperature of mixture?Given:specific heat of ice = 0.5 and latent heat of ice = 80 cal/gm.

Asked by joykphukan | 1st May, 2015, 12:26: PM

Expert Answer:

begin mathsize 12px style The space heat space given space by space water space in space cooling space from space 30 to the power of 0 space straight C space to space 0 to the power of 0 space straight C space is straight Q subscript straight W space equals space mass space of space water space cross times space specific space heat space of space water space cross times space fall space in space temperarure space space space space space space space space equals space 20 space straight g space cross times space 1 space cal space straight g to the power of negative 1 end exponent space straight C presuperscript 0 superscript negative 1 end superscript space cross times space 30 to the power of 0 space equals space 30 space cal The space heat space required space by space ice space to space warm space up space from space minus 10 space straight C presuperscript 0 space to space 0 to the power of 0 space straight C space and space then space to space melt space at space 0 to the power of 0 space straight C space is straight Q subscript ice space equals space left parenthesis mass space of space ice space cross times space specific space heat space ofice space cross times space fall space in space temperarure right parenthesis space plus space left parenthesis mass space of space ice space cross times space latenet space heat space of space ice right parenthesis space space space space space space space space space equals space left parenthesis 5 space straight g space cross times space 0.5 space cal space straight g to the power of negative 1 end exponent space straight C presuperscript 0 superscript negative 1 end superscript space cross times space 10 to the power of 0 space right parenthesis space plus space left parenthesis 5 space straight g space cross times space 80 space cal space straight g to the power of negative 1 end exponent right parenthesis straight Q subscript ice space equals space 25 space cal space plus space 400 space cal space equals space 425 space cal Since comma space straight Q subscript straight W space less than space straight Q subscript ice space comma space ice space does space not space melt space completely. space Hence space the space final space temperature space of space the space mixture space is space space 0 to the power of 0 space straight C. end style

Answered by Priyanka Kumbhar | 4th May, 2015, 09:24: AM