Answer : The value of is, 0.5 and = positive.
Explanation :
The unimolecular reaction is:
In unimolecular reaction, the starting material is 2 times to the product.
.........(1)
As we know that:
...........(2)
Now substitute equation 1 in 2, we get:
Now we have to calculate the value of at 298 K.
where,
= standard Gibbs free energy = ?
R = gas constant = 8.314 J/mol.K
T = temperature = 298 K
= equilibrium constant = 0.5
Now put all the given values on the above formula, we get:
Thus, the value of at 298 K is, 1717.32 J/mol
As we know that:
= +ve, reaction is non spontaneous
= -ve, reaction is spontaneous
= 0, reaction is in equilibrium
Thus, the = +ve. So, the reaction is non spontaneous.