For an ideal gas, classify the following pairs of properties as directly or inversely proportional?

Question

For an ideal gas, could someone help classify the following pairs of properties as either directly or inversely proportional?

Pressure (P) and Temperature (T)
Pressure (P) and Volume (V)
Temperature (T) and Volume (V)
Pressure (P) and Amount of substance (n)
Volume (V) and Amount of substance (n)

I have tried to solve this on my own, but I seem to keep getting it wrong. Any guidance would be greatly appreciated!

Anonymous · Accepted Answer

PT directly proportionalPV inversely proportionalTV directly proportionalPn direction proportionalVn directly proportionalThere are two easy ways to do this. The first is that, if two things are on the same side of the equation, they are inversely proportional (if one goes up, the other has to go down to keep the equation balanced), while if they are on opposite sides, they are directly proportional (if ones goes up, the other also has to go up, to keep it balanced).The other way is to imagine a scuba tank, and imagine you are doing everything to that tank. It becomes somewhat intuitive. What happens if the pressure in the scuba tank goes up? It is going to heat up.What if the pressure goes up and you can change the volume? The gas will expand and increase in volume.What if you increase the temperature? Again, gas expands, volume increases.What happens if you add more air to the tank? The pressure goes up.Etc.

Anonymous · Answer

Indirectly Proportional

Anonymous

For an ideal gas, classify the following pairs of properties as directly or inversely proportional?

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