- #1
hunterstein
- 3
- 0
Homework Statement
A gas is in an insulated box, which is divided into two portions by an insulated partition. There are n1 moles of the gas at temperature T1 in volume V1, and likewise n2 moles of the (same) gas at temperature T2 in volume V2. The partition is composed of two layers; one layer is insulating (e.g. mashed newspaper) and the other layer is not (e.g., metal). The insulating layer is gently removed, but the non-insulating partition remains. The system is allowed to come to equilibrium.
a) What is the equilibrium temperature of the system?
b) If n1 = n2 what is the equilibrium temperature?
c) Use your result to find the equilibrium temperature for the situation when a small amount of milk is added to very hot tea. More precisely, let = n1/n2 and let δ = T1/T2 and assume that 1 and δ 1. Then expand the expression for the equilibrium temperature to first order in and to first order in δ. You can do this by first expanding in one parameter, then the other.
Can someone help me out with this? Please do not feed me the answer, I need to learn and understand this subject