Question 415: Thermodynamics & KTG

Question

Two kg of a monoatomic gas is at a pressure of 4 $$ 	imes $$ 10
4
N/m
2
. The density of the gas is 8 kg/m
3
. What is the order of energy of the gas due to its thermal motion ?

Accepted Answer

Thermal energy of N molecule
=  N$$\left( {{3 \over 2}kT} ight)$$
=  $${N \over {{N_A}}}{3 \over 2}$$RT
=  $${3 \over 2}$$(nRT)
=  $${3 \over 2}$$PV
=  $${3 \over 2}$$P$$\left( {{m \over 8}} ight)$$
=  $${3 \over 2}$$ $$ 	imes $$ 4 $$ 	imes $$ 10
4
$$ 	imes $$ $${2 \over 8}$$
=  1.5 $$ 	imes $$ 10
4
order will 10
4

Answer

10
4
J

Answer

10
3
J

Answer

10
5
J

Answer

10
6
J

Thermodynamics & KTG

Two kg of a monoatomic gas is at a pressure of 4 $ \times $ 10 4 N/m 2 . The density of the gas is 8 kg/m 3 . What is the order of energy of the gas due to its thermal motion ?

Choose the correct answer: