In an experiment,17 g of ice is used to bring down the temp of 40 g of water at 34 Degree C to its freezing point. sp heat cap of water is 4.2. J G K . cal sp latent heat cap of ice
@imqwerty
ok the temp changes from 34 to 0 so change in temp =34 \[\Delta Q=ms \DelataT\] \[\Delta Q=40 \times 42 \times 34\] this is amt energy released by water=amt of energy received by ice specific latent heat =energy received/mass =40x42x34/17 =3360J kg^-1
that is\[\Delta Q=ms \Delta T\]
It should be 336 not 3360
@imqwerty @Michele_Laino
I think that the procedure of @imqwerty is right!
under the hypothesis that all the ice will be melted
I remember my teacher saying we have equate the equations...
We have 2 equations in the question
that's what she said
heat lost = heat gained...??
correct! we have a energy transfer
I can't seem to figure out the equations.. >_>
do you agree that the amount of heat given by water will all be absorbed by the ice?
yes
so heat energy given by water=heat energy taken by ice
yes
can you find how much heat will be given by water to go from 34 degree C to freezing point i.e., 0 degree C?
Q = mL + mc*delta T
what is L? L=latent heat?
yep
in this case we are just bringing water to 0 degree C and not converting it into ice so no latent heat will be required so\[Q=ms \Delta T\]
The original has a prob
if the final ans is 336 then it should be 4.2 instead of 42
i think we have to convert those joules to calories so 4.2J~1cal so this way 42J=4.2cal
from your data I read \(4.2 \,J/(grams \cdot K)\)
OHHH goddd!!!!! I READ THAT 42!!!!!!!!!!!
>.< D: nvm so we have this- \[Q=ms \Delta T\]\[Q=40 \times 4.2 \times 34\]this is amt of energy received by ice so latent heat=energy received/mass \[LatentHeat=\frac{ 40\times 4.2 \times 32 }{ 17 }=336\] thanks @Michele_Laino !! :)
:)
Thanks both of you...!
:)
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