# Thermodynamics-Two Insulated Tank System

1. Oct 7, 2012

### mpn17

1. The problem statement, all variables and given/known data

Two large, well-insulated tanks of 2m diameter and 5m in height are filled with air. One tank is initially at 1bar and 300oK and the other is at 10bar at 300oK. Determine the final temperature in both tanks if a valve connecting the two tanks is opened and the mass equalized (mf1=mf2) very quickly then closed again. Assume the enthalpy of the inlet and exit air for each tank is constant at 300.19kJ/kg. (Hint: One tank is ~198oK higher than the other after the valve shuts)

2. Relevant equations

PV=mRT
H=U+PV=U+RT

3. The attempt at a solution

I've used PV=mRT for both tanks to find the mass in tank 1 is 18.24kg while the mass in tank 2 is 182.4 kg. This gives a collective mass of 200.64kg. As stated in the problem statement the final mass in both tanks is equal which would then be 100.32 kg. From there I am not quite sure how to incorporate enthalpy into finding the final temperature in each tank?

2. Oct 8, 2012

### 256bits

Do you have an equation from the first law regarding energy balance involving internal energy and enthalpy?