SOLUTION: A sample of oxygen gas has a volume of 81.0 mL at a temperature of 100°C and a pressure of 590 Torr. What is its pressure if the temperature is raised to 320°C and its volume is de

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Question 169523: A sample of oxygen gas has a volume of 81.0 mL at a temperature of 100°C and a pressure of 590 Torr. What is its pressure if the temperature is raised to 320°C and its volume is decreased to 32.0 mL?
____Torr

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
In Thermodynamics, the relation of state variables (Pressure, Volume, & Temp.) is by eqn: ----> P%5B1%5DV%5B1%5D%2FT%5B1%5D=P%5B2%5DV%5B2%5D%2FT%5B2%5D, EQN 1
Given----->
*Note: see highlighted, when we deal with Gas Laws (as per EQN 1), we deal with absolute value, that's why we need to convert Celsius in Kelvin, and Absoulte Pressure, that is by adding the System Pressure and Atmospheric Pressure.
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Subst. values in EQN 1 and solving for P%5B2%5D?
%28590%2B760%29%2881%29%28320%2B273.15%29%2F%2832%29%28100%2B273.15%29=P%5B2%5D
P%5B2%5D=5431.8766abs-760,
highlight%28P%5B2%5D=+4671.8766%29Answer
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It just make sense for P%5B2%5D to go up since V%5B2%5D went down ---> they are inversely proportional. Likewise, P%5B2%5D went up because T%5B2%5D was up----> directly proprotional.
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Thank you,
Jojo