Question

What is the average kinetic energy of 1 mole of a gas that is at 50 degrees Celsius?

Answer 1

Answer:

4.030 kJ/mol is the average kinetic energy of 1 mole of a gas.

Explanation:

Average energy of 1 mol of gas:

$K.E=\frac{3}{2}RT$

T = temperature of the gas molecule in Kelvins

R = Universal gas constant = 8.314 J/mol K

We have :

T = 50°C = 323.15 K

The average kinetic energy of 1 mole of a gas :

$K.E=\frac{3}{2}\times 8.314 J/mol K\times 323.15 K=4,030.00 J/mol=4.030 kJ/mol$

(1 kJ = 1000 J)

4.030 kJ/mol is the average kinetic energy of 1 mole of a gas.

Answer 2

The formula is 1.5RT, where R is the universal gas constant and T is the temperature in kelvin.
1.5(8.314 J/molK)(50+273.15)K(1 mol) = 4030J