How Does Changing Pressure and Temperature Affect Gas Volume?

In summary, using the combined gas law, we can determine that the oxygen sample of 1.62 L at 92.3 kPa and 30.0 degrees celsius would occupy a volume of 11.3 L at 120.0 kPa and 0.0 degrees celsius. Furthermore, there are 0.0594 moles of oxygen in the sample.
  • #1
cheechnchong
132
1
Problem: An oxygen sample of 1.62 L is at 92.3 kPa and 30.0 degrees celsius.

(a) What volume would the oxygen occupy if the pressure was 120.0 kPa and the temperature was 0.0 degrees celsius.

(b) How many moles of oxygen are in the sample?

My Approach:

Conversions: 0 degrees celsius = 273k
30 degrees celsius = 303k
92.3 kPa = .911 atm
120.0 kPa = 1.18 atm

(a) PV = nRT
(.911 atm) (1.62 L) = n (.08206 l*atm/mol*k) (303k) --- finding n from given information

n = 0.0594 mol

then, i plug that n into

PV= nRT ---using second set of given information
(1.18 atm) V2 = (0.0594 mol) (.08206 l*atm/mol*k) (273k)

V2 = 11.3 L

(b) 0.0594 mol O2 ( this was figured earlier)


Anyways, I'd like someone to check my work here! THANKS!
 
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  • #2
Maybe I'm wrong, but I'd check your last step (multiplication & division) just before determining V2. Think you might be off by a factor of 10.

I used the combined gas law:

P1V1/T1 = P2V2/T2 and ended up with 1.13L

Also, from the original conditions, isn't the P increasing and the T decreasing. Shouldn't that lead to a decrease in volume from the original 1.62L?

Hope I am right here. Like I said in an earlier message - I haven't taken a chemistry course in over 3 decades.

Best of luck.

Steve
 
  • #3
Smith4046 said:
Maybe I'm wrong, but I'd check your last step (multiplication & division) just before determining V2. Think you might be off by a factor of 10.

I used the combined gas law:

P1V1/T1 = P2V2/T2 and ended up with 1.13L

Also, from the original conditions, isn't the P increasing and the T decreasing. Shouldn't that lead to a decrease in volume from the original 1.62L?

Hope I am right here. Like I said in an earlier message - I haven't taken a chemistry course in over 3 decades.

Best of luck.

Steve

hey good look...errrrrr my calculator skills are horrible LOL big thanks!
 

FAQ: How Does Changing Pressure and Temperature Affect Gas Volume?

What is the Ideal Gas Law and how does it relate to pressure?

The Ideal Gas Law is a mathematical equation that describes the relationship between pressure, volume, temperature, and the number of moles of a gas. It states that the product of pressure and volume is directly proportional to the product of the number of moles of gas and the absolute temperature. In other words, as pressure increases, either the volume or temperature must also increase to maintain a constant value.

How does the pressure of a gas change with temperature?

According to the Ideal Gas Law, pressure and temperature are directly proportional. This means that as the temperature of a gas increases, its pressure will also increase, assuming the volume and number of moles of gas remain constant. This can be observed in everyday life, such as when a tire becomes more pressurized on a hot day.

How does the pressure of a gas change with volume?

According to the Ideal Gas Law, pressure and volume are inversely proportional. This means that as the volume of a gas decreases, its pressure will increase, assuming the temperature and number of moles of gas remain constant. This can be seen in a balloon when it is squeezed - the pressure inside the balloon increases, causing it to expand.

What is the difference between absolute and gauge pressure?

Absolute pressure is the total pressure exerted by a gas, including atmospheric pressure. Gauge pressure is the difference between absolute pressure and atmospheric pressure. For example, if a gas has an absolute pressure of 2 atmospheres and atmospheric pressure is 1 atmosphere, the gauge pressure would be 1 atmosphere.

How does the number of moles of gas affect pressure?

The Ideal Gas Law states that pressure and the number of moles of gas are directly proportional. This means that as the number of moles of gas increases, the pressure will also increase, assuming the temperature and volume remain constant. This is why increasing the amount of gas in a container will increase its pressure.

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