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An ideal gas, initially at 400 K and 4.00 atm, is allowed to expand reversibly a

ID: 906604 • Letter: A

Question

An ideal gas, initially at 400 K and 4.00 atm, is allowed to expand reversibly and adiabatically until the temperature has dropped to 300 K. what's is the final pressure? An ideal gas, initially at 400 K and 4.00 atm, is allowed to expand reversibly and adiabatically until the temperature has dropped to 300 K. what's is the final pressure? An ideal gas, initially at 400 K and 4.00 atm, is allowed to expand reversibly and adiabatically until the temperature has dropped to 300 K. what's is the final pressure?

Explanation / Answer

Solution :-

Initial temperature T1 = 400 K

initial pressure P1 = 4.00 atm

Final temperature T2 = 300 K

Final pressure P2 = ?

P1/T1 = P2/T2

P2 = P1*T2/T1

P2 = 4.00 atm * 300 K / 400 K

P2 = 3.00 atm

So the final pressure is 3.00 atm

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