Question

calculate the average kinetic energy of 5.6 moles of ch4 at 27⁰c​

Answer 1

The average kinetic energy of the molecules is 5.66 × 10⁻²¹ J.

According to Kinetic Molecular Theory, the average kinetic energy of gas molecules is a function only of temperature.

The formula is

K

E

=

3

2

k

T

where

T

is the Kelvin temperature and

k

is Boltzmann's constant.

K

E

=

3

2

×

1.381

×

10

⁻

²

³

J⋅K⁻¹

×

273

K

= 5.66 × 10⁻²¹ J

For a mole of molecules, the average kinetic energy is

5.66

×

10

⁻

²

¹

J

1

molecule

×

6.022

×

10

²

³

molecules

1

mol

= 3.41 ×10³ J/mol = 3.41 kJ/mol