Question
answer the above q
A tank of volume 0. 241 m3 contains 2. 99 mol of helium gas at 29 degree C. Assume that the helium behaves like as an ideal gas. The universal gas constant is 8. 31451 J / K mol, and Boltzmann's constant is 1. 38066 x 10-23 J / K. Find the total thermal energy of the system. Answer in units of J What is the average kinetic energy per molecule? Answer in units of J A tank of volume 0. 33 m3 contains 1. 88 mol of helium gas at 5degree C. Assume that the helium behaves like as an ideal gas. The universal gas constant is 8. 31451 J / Kmol, and Boltzmann's constant is 1. 38066 x 10-23 J / K. Find the total thermal energy of the system. Correct answer: 6518. 24 J. Explanation: Let: n= 1. 88 mol, R = 8. 31451 J / K mol and T = 5degree C = 278 K. The energy is E= 3 / 2 nRT = 3 / 2 (1. 88 mol) (8. 31451 J / K mol) {278 K) = 6518. 24 J. What is the average kinetic energy per molecule? Correct answer: 5. 75734 x 10-21 J. Explanation: Let: kB = 1. 38066 x 10-23 J / K. The average kinetic energy per molecule is E = 1 / 2m v2 = 3 / 2 kB T = 3 / 2(1. 38066 x 10-23 J / K) (278 K) = 5. 75734 x 10-21 J .
Explanation / Answer
a)Total thermal energy=1.5nRT=11262J
b)Average kinetic energy=3/2kT=6.25*10-21J
