Question

Question 4 mol of oxygen gas is confined to a 8 L vessel at a pressure of 14 atm Avogadro's number is 6.02214x 1023 1/mol. The mass of an O2 molecule is 5.31 x10-26 kg. Find the average translational kinetic en- ergy of an oxygen molecule under these con- ditions. Answer in units of J Your response...

Answer 1

A vogadro's numbers is 6.02214 times 10623 1/mol. The mass of an O_2 molecule is 5.31 times 10^-26 kg P = 14 atm no. of moles, n = 4 Volume of vessel v = 8L = 8 times 10^-3 m^3 Using the equation for kinetic theory under pressure P: 4N/8V (mov^2/2) K: mov^2/2 = 8Pv/4N equation (1) where N: n N_A where N_A = 6.02214 times 10^23 J/mol from (1) K = 8PV/4 PN_A \r\n From (1) K = 8PV/4 n N_A K = 8(14) (1.013 times 10^5) (8 times 10^-3)/2(4) (6.02214 times 10^23) K = 907.648 times 10^2/48.17712 times 10^23 K = 1.8839 times 10^20 J