Print Your ame and TuID Section natractions, Solve the problem below using the R

Question

Print Your ame and TuID Section natractions, Solve the problem below using the RiDEA ramework A complete solution worth 27 pts Problem 2 A scuba tank is filled with air to a pressure of 204 atm when the air temperature is 29°C. A diver then jumps into the oceam and, after a short time treading water on the ocean surface, checks the tank's pressure and finds that it is only 194 atm Assuming the diver has inhaled a negligible amount ofar fromthe tank, what tthe temperature (inc) of the ocean water? Represent the problem in terms of symbols and diagrams 2) interpret the problem by identfying applicable concepts and principles 3) Develop a plan for solving the prablem (VERBAL EXPLANATIONS NO EVALUATION here 4) Evaluate your answer 5i Assess your answer (the answer properly stated with proper units and sig fig or precision is your answer

Explanation / Answer

1) let P1 be the initial pressure and T1 be the initial temperature

P2 be the final pressure and T2 be the final temperature

P1 = 204 atm

T1 = 29 degrees C = 302K

P2 = 194 atm

2) Ideal gas equation gives

PV =NRT

so at constant volume

Pressure is directly prportional to temperature

3) as pressure is directly proportional to temperature

ratio of pressures = ratio of temperatures

P1/P2 = T1/T2

T2 = T1(P2/P1)

4) plugging in the values we get

T2 = 287.2 K

T2 = 14.2 0 C

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