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At $\mathrm {30^°C}$ the concentration of dissolved oxygen in a sample water is $\text {7.54 ppm.}$ The iodine liberated by $\text {1000 mL}$ of this sample water reacts completely with $\mathrm {9 ~ mL ~ Na_2SO_3}$ Solution. The concentration of this $\mathrm {Na_2SO_3}$ solution is-