\(SO_2\) gas reacts with \(K_2Cr_2O_7\) in presence of \(H_2SO_4\) to produce a coloured substance. If \(10\,g\) of each reactant in pure form were taken to carry out the reaction, what will be the mass of the coloured product?
(Atomic masses: H = 1, O = 16, S = 32, K = 39, Cr = 52)