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## Homework Statement

A syringe with a maximum volume of 60 ml takes in a 14.5 ml sample of oxygen gas at 24.3 degrees Celsius. What maximum variation in temperature does the oxygen undergo before the piston is completely pushed out of the syringe?

## Homework Equations

(Initial Volume / Initial Temperature) = (Final Volume / Final Temp)

## The Attempt at a Solution

(0.0145 L / 516.45 K) = ( 0.06 L / Final Temp)

Final Temp = 2137 K

Variation = 2137 - 516.45 = 1620.55 K = 1347.4 degrees Celsius

I feel that I correctly did the problem but I have some doubts because the answer seems unintuitive.

Thanks in advance for the help.