one mole of monatomic gas (in a perfectly insulated cylinder) has temp = 27 degees c = 300K volume = 0.025m^3 (gas held in frictionless piston) heat suppied causes gas to expand at constant pressure gas expands to volume = 0.06m^3 i) calc final temp.. i used pV/T =pV/T (p cancels because its constant) and i got a value for new tempreture as 720K ii) increase in av. KE per molecule... using KE= 3/2kT i found the original KE per molecule as 1.49*10^-20 and new KE per molecule as 6.21*10^-21 and the difference between them (increase in av. KE = 8.69*10^-21) iii) WD by the gas expanding... WD = p*(change in)V....i got the p value from P = nRT/V and i got that as 99720 Nm-^2 and then multuply by (0.06 -0.025) to get WD as 3490.2 J iiii) the heat supplied... i used Q = (change in)u + (change in)WD change in internal energy (u) is the sum of the change in KE of the molecules right? so i multiplied change in av. KE per molecule 8.69*10^-21 by avagadros constant to give me KE for one mole, i get a value of 7284.2J but then i thought that should be the same as... calculating the change in av. KE of one mole so i used the formula KE = 3/2RT to find change in KE for a mole and i get a value of 8974.8 - 3739.5 = 5235.3J shouldnt they be the same, i dont know which ones wrong anyway i used U as 7284.2J added (WD) 3490.2 to give me Q = 10774.4J the other one would be Q = 5235.3 + 3490.2 =8725.5J which ones right?! did i make any mistakes in the other questions?