As an eager scientist on a hot summer day you wish to determine how much ice to buy to add to your cooler which is filled with 3.0x10^1 cans of soda which are warm at 86.5F. Each can has a mass of 384g and ideally you want the temperature of the drinks to be 41.5F. If there is no heat lost by the cooler and ignoring any heat lost to the soda containers, how much ice needs to be added to your cooler? (in lbs) (Assume the temperature of the ice is 32F).

Latent heat of fusion for ice= 80 cal/g

specific heat of water is 1.00cal/g C

specific heat of the soda is 0.900 cal/gC and there are 454 grams per pound.