My daughter has the following homework problem we need assistance in confirming if we've understood and completed correctly. 1. The problem statement, all variables and given/known data The Volume goes from 2.00 Liters to 7.00 Liters, the temperature changes from 800 kelvin to 150 kelvin, and the number moles of gas is quadrupled on a gas sample initially at 1.20 atm. What is the new pressure? 2. Relevant equations PV = nRT, where P = pressure, V = volume, n = moles, R = a given number at 0.0821, and T = temperature. 3. The attempt at a solution We assumed that since moles was used here, we need to use the "PV = nRT" version of the ideal gas equation versus the "P1V1 / T1 = P2V2 / T2" version. Given that, we also assumed we'd have to apply the factor of the changes in each applicable variable. Volume factor = 7 / 2 = 3.5 Temperature factor = 150 / 800 = 0.1875 Moles factor = 4 Therefore, mathematically, logic stands you can apply the product of those factors to the given starting pressure amount of 1.20 atm to get the new pressure amount. PV = nRT P = nRT / V P = [ (4 n) x (0.0821) x (0.1875 T) ] / (3.5 V) P = [ (4 x 0.0821 x 0.1875) / 3.5 ] x (nT / V) P = 0.0176 nT / V Your factor is therefore 0.0176 which can be applied to the original pressure to get your new pressure. Answer: P = 1.2 atm x 0.0176 P = 0.0211 atm Can you please confirm if our logic and answer is correct and if not where we went wrong? Thanks!!