a) Bảo toàn nguyên tố X: \(n_X.1=n_{XSO_4}.1\\\Rightarrow \dfrac{27,4}{X}=\dfrac{46,6}{X+96}\\ \Rightarrow X=137\left(Ba\right)\)
b) Bảo toàn nguyên tố S: \(n_{BaSO_4}=n_{K_2SO_4}=\dfrac{46,6}{137+96}=0,2\left(mol\right)\\ \Rightarrow m_{K_2SO_4}=0,2.174=34.8\left(g\right)\)