Question

Which of the following is the correct relationship between pressure and moles of gas, according to the kinetic molecular theory, at constant temperature and volume?

Select the correct answer below:

A) They don't depend on each other.

B) They can be both directly and inversely proportional to each other depending on the circumstances.

C) They are directly proportional.

D) They are inversely proportional.

I was thinking C) directly proportional because as you increase the number of moles of gas, the pressure would increase but I'm worried this is a trick question!

Answer 1

the Correct option is Option C i.e. Pressure and Number of moles of gas are directly proportional to each other (in fact,you were right!!), which is quite evident if you observe the ideal gas equation-

,where,

the P is the Pressure,V-volume,n-Number of moles,R-gas constant and T-temperature.

From the equation itself you can observe that, P and n are directly proportional to each other i.e.

,when V and T are constant!