Assuming it behaves as an ideal gas, calculate the temperature of a sample of He whose molecules have an average translational kinetic energy of 1.14E-23 kJ/molecule.

Well use KE=3/2kT where K = 1.38E-23

plug and chug as dr arrasisham and dr edwards and dr busiglo and dr funskez and dr dj say

456

To calculate the temperature of a sample of helium gas, we can use the average translational kinetic energy of the helium molecules. The average translational kinetic energy of a gas molecule can be related to temperature using the following equation:

KE = (3/2) kT

Where:
KE: Average Translational Kinetic Energy
k: Boltzmann constant (1.38 x 10^-23 J/K)
T: Temperature in Kelvin

First, let's convert the given average translational kinetic energy from kilojoules to joules:
1.14E-23 kJ/molecule = 1.14E-23 x 10^3 J/molecule
= 1.14E-20 J/molecule

Next, we can rearrange the equation to solve for temperature:
T = (2/3) KE / k

Plugging in the given values:
T = (2/3) x (1.14E-20 J/molecule) / (1.38 x 10^-23 J/K)
T = 1.54E3 K

Therefore, the temperature of the given sample of helium is approximately 1540 K.