FYKOS Year 31 Series 4 Problem 1 — ice-cream · FYKOS 31 #31.4.1

Physics · mechanics · thermodynamics

Problem

Estimate how many grams of ice-cream is possible to be made out of

5 \mathrm{l}

of liquid oxygen with temperature

-196 \mathrm{\C }

and unlimited amount of milk and cream with room temperature

22 \mathrm{\C }

? Let's suppose that ice-cream consists of milk and cream only (same mass of both ingredients) and the temperature of the ice-cream should be

-5 \mathrm{\C }

. Use average heat capacity

c\_m = 3{,}45 \mathrm{kJ\cdot kg^{-1}\cdot K^{-1}}

for milk and

c\_s = 4{,}45 \mathrm{kJ\cdot kg^{-1}\cdot K^{-1}}

for cream (despite the fact that changes considerably in this temperature range). Find other needed quantities on the internet by yourself.