A solution of ${\mathrm{Na}}_2{\mathrm{CO}}_3$ is added drop by drop to litre of a solution containing ${10}^{-4}$ mole of $B{a}^{2+} and {10}^{-5}$ mole of ${\mathrm{Ag}}^{+}, \mathrm{if} {\mathrm{K}}_{\mathrm{SP}} \mathrm{for} {\mathrm{BaCO}}_3$ is $8.1 \times {10}^{-9}$ and ${\mathrm{K}}_{\mathrm{SP}} \mathrm{for} {\mathrm{Ag}}_2{\mathrm{CO}}_3 \mathrm{is} 6.9 \times {10}^{-12}$ then which is not true

• A

  No precipitate of $BaC{O}_3$ will appear until $\left[{\mathrm{CO}}_3^{2-}\right]$ reaches $8.1 \times {10}^{-5}$ mol per litre

• B

  No precipitate of ${\mathrm{Ag}}_2{\mathrm{CO}}_3$ will appear until $\left[C{O}_3^{2-}\right]$ reaches $6.9 \times {10}^{-5}$ mol $litr{e}^{-1}$ 

• C

  No precipitate of ${\mathrm{Ag}}_2{\mathrm{CO}}_3$ will appear until $\left[{\mathrm{CO}}_3^{2-}\right]$ reaches $6.9 \times {10}^{-2}$ mole per litre  

• D

  ${\mathrm{BaCO}}_3$ will be precipitated first