The reaction of potassium dichromate, potassium chloride, and concentrated sulfuric acid produces chromyl chloride (\(CrO_2Cl_2\)). The balanced equation is:
\(K_2Cr_2O_7 + 4KCl + 6H_2SO_4 \rightarrow 2CrO_2Cl_2 + 6H_2O + 3K_2SO_4\)
In \(K_2Cr_2O_7\), chromium has an oxidation state of \(+6\). This oxidation state is maintained in chromyl chloride (\(CrO_2Cl_2\)). To verify, let the oxidation state of \(Cr\) in \(CrO_2Cl_2\) be \(x\), with oxygen at \(-2\) and chlorine at \(-1\):
\[x + 2(-2) + 2(-1) = 0\]
\[x - 4 - 2 = 0\]
\[x = +6\]
This calculation confirms that chromium's oxidation state is \(+6\) in \(CrO_2Cl_2\), consistent with the given range (6,6). The oxidation state of chromium in the product is therefore \(+6\).