Step 1: Understanding the process of manufacturing K\(_2\)Cr\(_2\)O\(_7\).
The production of potassium dichromate (K\(_2\)Cr\(_2\)O\(_7\)) from chromic acid involves several steps, with sodium chromate (Na\(_2\)CrO\(_4\)) being the product of the first step. Sodium chromate is then converted into potassium dichromate.
Step 2: Analyzing the options.
(A) Sodium dichromate: This is the final product, not the intermediate in the first step.
(B) Potassium chromate: Potassium chromate is not the intermediate in the first step.
(C) Sodium sulphate: Sodium sulphate is not involved in the production of potassium dichromate.
(D) Sodium chromate: This is the correct intermediate product that is used in the next step to produce potassium dichromate.
Step 3: Conclusion.
The correct answer is (D) Sodium chromate.