A sample of compressed oxygen has a volume of 50L and a pressure of 140atm at 25oC. The cylinder is cooled until the pressure is 10atm. What is the new temperature in the cylinder?
Question # 133172
A sample of compressed oxygen has a volume of 50L and a pressure of 140atm at 25oC. The cylinder is cooled until the pressure is 10atm. What is the new temperature in the cylinder?
Answer
P1V1/T1 =P2V2/T2
P1= initial pressure, V1= initial volume, T1= initial temperature in kelvins
P2= final pressure, V2= final volume, T2= final temperature in kelvins
P1V1/T1 =P2V2/T2
(140atm×50L)/323K= (10atm×50L)/ T2
T2 = (323K×10atm×50L) ÷ (140atm×50L)
= 23.07 K
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