From the initial conditions (0.02 mol and 240.00 k ), if you increased the amount of argon to 0.06 mol , the new pressure would be 0.31 atm . therefore, pressure increases with the number of moles in direct proportion.

from the initial conditions (0.02 mol and 240.00 k ), if you increased the temperature by 80.00 k , the new pressure would be 0.14 atm . therefore, pressure increases with temperature in direct proportion.

part b answered:

for this exercise, you can simulate the described conditions by changing the values in the run experiment tool of the simulation. to be able to measure the effects on the gas volume, slide the rspd bar in the properties box to v (l) so that the volume bar turns yellow. this way, volume becomes the only dependent variable. note that when volume is selected with rspd, its value can no longer be directly controlled.

suppose a piston automatically adjusts to maintain a gas at a constant pressure of 6.60 atm . for the initial conditions, there are 0.05 mol of helium at a temperature of 250.00 k . this gas occupies a volume of 0.16 l under those conditions. what volume will the gas occupy if the number of moles is increased to 0.08 mol (n2 ) from the initial conditions? what volume will the gas occupy if the temperature is increased to 350.00 k (t2 ) from the initial conditions?

express the volumes in liters to two decimal places separated by a comma.

volume at n2 , volume at t2 =
0.25,0.22

l
part c: ( answer and explain)

based on the two relationships determined in parts a and b (and summarized in the transition), derive a relationship between all of the terms that define the macroscopic behavior of ideal gases. p can represent pressure (in atm ), v can represent volume (in l ), n can represent the number of moles (in mol ), t can represent temperature (in k ), and m can be used as a simplified slope (to avoid using multiple constants since its specific value is not important here). write an equation (formula) for pressure below based on the relationship you derived for the behavior of ideal gases. express your answer in terms of v , n , t , and constant m