Question

An insulated container contains 4 moles of an ideal diatomic gas at temperature t

Answer 1

Answer:

Explanation:

Hey,

Here, If you want to Find out the amount of heat to dissociate 2 moles of the gas into atoms at the same temperature, then calculation is given below,

=> Internal energy of micro moles for given gas,

E =  (f/2 * RT)

Where, f represents the degrees of freedom

f = 3  ( monoatomic gas )  f= 5  ( diaatomic gas )

=> Suppose 2 moles of diatomic gas combines togrther to form 4 moles of  monoatomic gas.

=> the amount of heat 'Q' to be supplied:

Q = △E

Q = E_f - E_i

where,

E_i = internal energy of diatomic gas  

E_f = internal energy of monoatomic gas + internal energy of diatomic gas  

=> now, E_i = 4 x 5/2 RT = 10 RT (for 4 molecules of diatomic gas )

E_i = 10 RT

and E_f for  

= 4 x 3/2 RT + 2 x 5/2 RT

= 6 RT + 5 RT

= 11 RT (for 4 molecules of monoatomic gas + 2 moles of diatomic gas)

E_f = 11 RT

Now, Q = △E = E_f - E_i  

=  11 RT - 10 RT  

= RT

∴ Q = RT