1) (10 points) A closed beaker with a metal bottom is filled with 20 grams of water at 20 degrees C. It is brought into good thermal contact with a 4000 cm' container holding 0.40 moles of a monatomic gas at 10 atm pressure. Both containers are well insulated from their surroundings. They are left in contact for a long time. Assume the containers themselves are nearly massless and do not affect the outcome. The molar specific heat of a monatomic gas at constant volume is 12.5 J/mol K. HINT: Remember that 7-7; defines the sign of the heat term (temperature decrease corresponds to heat loss and thus negative heat term, temperature increase corresponds to heat gain and thus positive heat term). a) What is the initial temperature of the gas? b) What is the final temperature of the two containers? c) How much thermal energy is transferred between the containers, and which direction is the heat transferred? (From which container to which container?) d) What is the final pressure in the gas