Which of the following statements are incorrect about the reaction in presence of catalyst? (1) ...

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Which of the following statements are incorrect about the reaction in presence of catalyst?
(1) Catalyst does not alter the heat of reaction
(2) Catalyst alters the equilibrium constant of the reaction
(3) Catalyst does not alter the \( \Delta \mathrm{G}^{\circ} \) of the reaction
(4) Catalyst changes the rate constant of forward and backward reaction to the same extent.
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