Answer : The mass of [tex]NaBr[/tex] is, 295.323 grams
Solution :
First we have to calculate the moles of [tex]NaNO_3[/tex].
[tex]\text{Moles of }NaNO_3=\frac{\text{Mass of }NaNO_3}{\text{Molar mass of }NaNO_3}=\frac{244g}{85g/mole}=2.87moles[/tex]
Now we have to calculate the moles of NaBr.
The balanced chemical reaction is,
[tex]Pb(NO_3)_2(aq)+2NaBr(aq)\rightarrow PbBr_2(s)+2NaNO_3(aq)[/tex]
From the balanced reaction we conclude that
As, 2 moles of [tex]NaNO_3[/tex] react with 2 moles of [tex]NaBr[/tex]
So, 2.87 moles of [tex]NaNO_3[/tex] react with 2.87 moles of [tex]NaBr[/tex]
Now we have to calculate the mass of NaBr.
[tex]\text{Mass of }NaBr=\text{Moles of }NaBr\times \text{Molar mass of }NaBr[/tex]
[tex]\text{Mass of }NaBr=(2.87mole)\times (102.9g/mole)=295.323g[/tex]
Therefore, the mass mass of [tex]NaBr[/tex] is, 295.323 grams