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Please show work 1) How much heat is required to change 50 g of ice at 0C into l

ID: 1288290 • Letter: P

Question

Please show work

1) How much heat is required to change 50 g of ice at 0C into liquid water at 0C? Qmelt ice = Help: How many calories does it toke to convert 1 g of ice at 0 degree C into water at 0 degree C? Look up the latent heat of fusion for H2O. 2) If 350 g of water initially at 25 degree C released the amount of heat that you found in Pail (1), what would its temperature be afterward? Tafter = Help: How much heat is required to change the temperature of 1 g of liquid water by 1 C degree? You are looking for the final temperature rather than the T. 3) If you were to combine 50 g of Liquid water at 0 degree C with 350 g of the water at the temperature you found in Part (2),what would the final temperature of the mixture be? Tfinal = Help: Use conservation of energy: QHot + QCold = 4) Now, if 50 g of ice at 0 degree C is combined with 350 g of water initially at 25 degree C, what is the final temperature of the mixture? Tfinal = Help: Use conservation of energy: QHot+ QCold = 0. 5) How much heat is needed to raise the temperature of 350 g of water initially at 25 degree C to 100 degree C?? Qraise water = Help: How much heat is required to change the temperature of 1 g of liquid water by 1 C degree?

Explanation / Answer

1)Q=mL=50*79.8=3990Cal

2)Balancing heat=mc(Tf-Ti)=Q

350*1*(Tf-25)=3990

Tf=36.4C

3)Let final temp be T.

Heat lost gained=heat lost

50*1*(T-0)=350*1*(36.4-T)

T=31.85C

4)Let T be Tfinal.

Heat gained by ice=heat lost by water

50*79.8+50*1*(T-0)=350*1*(25-T)

T=11.9C

5)Q=350*1*(100-25)=26250cal

6)Q=mL

26250=m*540

m=48.6g