FYKOS Year 30 Series 1 Problem 1 — With rum, or without? · FYKOS 30 #30.1.1

Physics · mechanics · thermodynamics

Problem

Three substances: water, steel and rum are put in a pot, which effectively doesn't convect any heat. The water has mass

m_{v}=0,5\;\mathrm{kg}

, temperature

t_{v}=90°F

and specific heat capacity

c_{v}=1kcal\cdot \;\mathrm{kg}^{−1}\cdot K^{−1}

. The steel is in form of a cylinder, that has mass

m_{o}=200g

, temperature

t_{o}=60\;\mathrm{°C}

and specific heat capacity

c_{o}=0,260kJ\cdot \;\mathrm{kg}^{−1}\cdot °F^{−1}

. Rum has mass

m_{r}=100000mg

, temperature

t_{r}=270K

and specific heat capacity

c_{r}=3,5J\cdot g^{−1}\cdot \;\mathrm{°C}^{−1}

. What will be the temperature (in degrees centigrade) of the system when it reaches balance?