10g of ice at 0 degrees absorbs 5460 J of heat energy to melt and change to water at 50 degrees C.
Calculate the specific latent heat of fusion of ice.Specific heat capacity of water is 4200 J kg^-1 K^-1
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OpenStudy (aaronandyson):
@Michele_Laino
OpenStudy (michele_laino):
the requested amount of heat \(Q\) to go from ice at \(0\) degrees to water at \(50\) degrees, is:
\[\huge Q = Lm + cm\Delta \theta \]
where \(m=0.01\)Kg, \(L\) is the latent heat, \(\Delta \theta=50\), \(c=4200\)
OpenStudy (michele_laino):
of course \(Q=5460\)
OpenStudy (michele_laino):
remark: (\( \Delta \theta= 50 °C= 50 °K\))
OpenStudy (aaronandyson):
5460 = 0.04 times L times 2100??
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OpenStudy (aaronandyson):
5460 - 0.04 times L plus 2100*
OpenStudy (michele_laino):
no, please we have:
\(5460= L m+2100\)
OpenStudy (michele_laino):
so:
\[\huge L = \frac{{5460 - 2100}}{{0.010}} = ...?\]
OpenStudy (aaronandyson):
336000
OpenStudy (michele_laino):
correct!
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OpenStudy (aaronandyson):
whats the unit..??
OpenStudy (michele_laino):
please don't forget the right unit of measure
It is \(Joules/Kg\)