# Thermal Equilibrium With Insulated Liquid And Gas Containers

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

A beaker with a metal bottom is filled with 20g of water at 20∘C. It is brought into good thermal contact with a 4000 cm^3 container holding 0.40mol of a monatomic gas at 10atm pressure. Both containers are well insulated from their surroundings.

What is the gas pressure after a long time has elapsed? You can assume that the containers themselves are nearly massless and do not affect the outcome.

**2. Relevant equations**

Q=mc(delta T)

P=kA(delta T/distance between objects)

pV=nRT

**3. The attempt at a solution**

I used the ideal gas law to find the initial temp of the gas to be 1219.013 K or 945.863 degrees Celsius. From there, I do not know how to equate the substances in the two containers to determine an equilibrium point and find the final pressure or if this is even the right approach. I would greatly appreciate any help.

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