Physics, asked by dhynekaraniket, 3 months ago

give expression formono dilpy atomic goses​

Answers

Answered by kimrose1512
2

Answer:

SPECIFIC HEAT CAPACITY OF MONATOMIC GAS - FORMULA

The molecules of a monatomic gas have 3 degrees of freedom.

The average energy of a molecule at temperature T is

2

3K

B

T

.

The total internal energy of a mole is:

2

3K

B

T

×

N

A

.

The molar specific heat at constant volume

C

v

is

For an ideal gas,

C

v

(monatomicgas)=

d T

d U

=

2

3RT

FOr an ideal gas,

C

p

C

v

=

R

where

C

p

is molar specific heat at constant pressure.

Thus,

C

p

2

5R

SPECIFIC HEAT CAPACITY OF DIATOMIC GAS - FORMULA

The molecules of a monatomic gas have 5 degrees of freedom, 3 translational and 2 rotational.

The average energy of a molecule at temperature T is

2

5K

B

T

.

The total internal energy of a mole is:

2

5K

B

T

×

N

A

.

The molar specific heat at constant volume

C

v

is

For an ideal gas,

C

v

(monatomicgas)=

d T

d U

=

2

5RT

FOr an ideal gas,

C

p

C

v

=

R

where

C

p

is molar specific heat at constant pressure.

Thus,

C

p

2

7R

SPECIFIC HEAT CAPACITY OF POLYATOMIC GAS - FORMULA

In general a polyatomic molecule has 3 translational, 3 rotational degrees of freedom and a certain number (f) of vibrational modes.

According to the law of equipartition of energy, it is easily seen that one mole of such a gas has

U=

(

2

3K

B

T

+

2

3K

B

T

+

fK

B

T)N

A

or

C

v

=

(3+

f)R

,

C

v

=

(4+

f)R

Explanation:

Hi !!

Hope it helps you !!

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