A chemical reaction has an increase in entropy and a decrease in enthalpy. What is known about the spontaneity of the reaction?
A chemical reaction
has an increase in entropy and a decrease in enthalpy. The chemical reaction is
spontaneous. A chemical reaction is spontaneous if it has an entropy greater
than zero and an enthalpy less than 0
Answer: Reaction is spontaneous at all temperatures.
Explanation:
According to Gibb's equation:
\(\Delta G=\Delta H-T\Delta S\)
\(\Delta G\) = Gibbs free energy
\(\Delta H\) = enthalpy change
\(\Delta S\) = entropy change
T = temperature in Kelvin
\(\Delta G\)= +ve, reaction is non spontaneous
\(\Delta G\)= -ve, reaction is spontaneous
\(\Delta G\)= 0, reaction is in equilibrium
Thus when \(\Delta H\) = -ve (decrease in enthalpy)
\(\Delta S\) = +ve (increase in entropy)
\(\Delta G=(-ve)-T(+ve)\)
\(\Delta G=(-ve)(-ve)=-ve\)
Thus Reaction is spontaneous at all temperatures.