Given, H = 57.8 kJ mol

$$-$$

1

S = 176 JK

$$-$$

1 mol

$$-$$

1

T = 298 K

Using Gibb's free energy relation

G = H TS

where, G = change in Gibb's free energy

H = change in enthalpy

T = temperature

S = change in entropy

G = 57.8 kJ/mol [298 K ( 176 Jk

$$-$$

1 mol

$$-$$

1)]

= 57.8 kJ/mol [ 1 kJ = 1000 J]

= 5.352 kJ/mol

| G | = 5.352

Hence, answer is 5.