If its volume is increased by 20% and its absolute temperature is decreased by 12%, what is the percent change to its pressure?

Question

what is the kinetic theory of the question? I want to know the percent of to its pressure of gas.

Answer 1

For an ideal gas PV = nRT and if the number of moles of gas (n) is constant, then PV/T = a constant.

So if V increases by 20% and T is decreased by 12% that's the same as (P)(1.2V)/0.88T = constant.  The P would have to decrease to 0.733 or 73.3% of the original pressure., or the pressure would decrease 26.7%.