Question

2 mols of an ideal gas are at -73 deg C. What is the gas internal kinetic energy?

(R = 8.314, and k = 1.38 x 10^-23)

Answer 1

Step 1

As we know that the translational kinetic energy is also the total internal energy in case of ideal gas.. Rotational kinetic energy can be ignored, because the atoms are so small that the moment of inertia is negligible.There is also no energy associated with bonds between atoms in molecules, because there are no bonds in ideal gas. Sl that the formula for ideal gas, is given as

energy (U) is simply:

Step 2

Given we have,

Number of moles = 2 mols

Temperature T = -73 deg C = 200.15 K

R = 8.314

k = 1.38 x 10^-23

Step 3

Now on substitution we will have:-

U(KE) = (3/2)*(n)*R*T

Therefore U(KE) = 4992.1413 J