Question

A gas mixture consist of 3.0 mole of hydrogen and 2.0 mole of helium at absolute temperature T considering all vibrational modes the total internal energy of system is

Answer 1

Answer:

Solution :

Oxygen isdiatomic gas, hence its energy of two moles

. Argon is a monoatomic gas, hence its internal energy of 4 moles

. <br> Total internal energy

Answer 2

Answer:

hydrogen is diatomic gas , so molar specific heat capacity at constant volume, C_1=\frac{5R}{2}C

1

=

2

5R

number of mole of hydrogen, n_1n

1

= 3

helium is monoatomic gas, so molar specific heat capacity at constant volume, C_2=\frac{3R}{2}C

2

=

2

3R

number of mole of helium, n_2n

2

= 2.

now, internal energy of system = n_1C_1T+n_2C_2Tn

1

C

1

T+n

2

C

2

T

= 3 × 5R/2 × T + 2 × 3R/2 × T

= 21RT/2

= (10.5)RT