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Q. Statement 1: There is no reaction known for which $\Delta G$ is positive, yet it is spontaneous
Statement 2: For photochemical reaction, $\Delta G$ is negative

Thermodynamics

Solution:

When $\triangle H$ is positive and $\$ \$ \triangle S$ is in negative, the sign of $\triangle G$ is always will always be positive and the relation can never be spontaneous. This corresponds to both driving force favors the reaction, but the other does not, it is the temperature that determines the sign of $\triangle G$. Both Assertion and and Reason are incorrect.