Chemistry
posted by Robert on .
3) You pour 240 mL of Coke into a glass, where the T of the beverage is at 10.5 *C. You then add one ice cube of 45g.
Determine the final temperature and the amount of ice remaining, if any.
So I know that there won't be any more ice left because they will reach thermal equilibrium, and the temperature will be over 0*C.
q for ice will be
= (4.184 J/gK)(45g)(TfTi)
But I have no idea how to go about deltaT and what to do next.
Thank you

You need to rething this. You will have ice left over.
45g x 334 J/g = 15030 J available.
To cool the water to 0 C we need
240 x 4.184 x (10.5) = 10,540.7 SO WE have more cooling than we need. Some ice will be left over after cooling to zero C. I figured we need melt only 31.5 g but you need to confirm that. I estimatredf here and there and I'm not positive about the 334 value I used above. 
solve q initial for the 240g of coke/water.
solve q initial for the ice.
subract q ice from q coke, then solve for deltaT
q(coke)  q(ice) = (4.18 J/gK)(285g)(deltaT) 
rethink, not rething. ;)

thanks!