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9. An air tank has a pressure of 96 atm when it is in the shade at temperature o

ID: 695353 • Letter: 9

Question

9. An air tank has a pressure of 96 atm when it is in the shade at temperature of 20.0°C. The undisturbed air tank is exposed to sunlight for a long time, and the pressure rises to 242 atm. What is the temperature of the air sample in the tank when the pressure is 242 atm? Show all calculations. (7 points total; 4 points for correct setup, 3 points for correct answer) Hint: there are two conditions in this question. Condition 1 has P=96 atm, T= 20.0°C. Condition 2 has P-242 atm, T = ??? The air tank is metal and is closed, so n is constant and v is constant. R is always a constant. nRT for each condition, filling in numbers where you can. The (nR /V) is equal for condition 1 and condition 2 Remember to use Kelvin for temperature units

Explanation / Answer

Since , PV = nRT ; n, R and Vis constant so

P1/ T1 = P2/ T2

T1 = 20°C ( 293K) , P1 = 96atm

P2 = 242 atm

So T2 = (242/96)*293

So, T = 738.6 K

So temperature is 465.6 atm