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Chemistry

Find the mass of KNO3 required to produce 126 kg of nitric acid. Find whether a larger or smaller mass of NaNO3 is required for the same purpose.

KNO3 + H2SO4 ⟶ KHSO4 + HNO3

NaNO3 + H2SO4 ⟶ NaHSO4 + HNO3

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Answer

KNO3+H2SO4KHSO4+HNO339+14+3(16)1+14+3(16)=39+14+48=1+14+48=101 g=63 g\begin{matrix} \text{KNO}3 & + &\text{H}2\text{SO}4 & \longrightarrow & \text{KHSO}4 & + \text{HNO}_3 \ 39 + 14 + 3(16) & & & & & 1 + 14 + 3(16) \ = 39 + 14 + 48 & & & & & = 1 + 14 + 48 \ = 101 \text{ g} & & & & & = 63 \text{ g} \end{matrix}

63 g of HNO3 is formed by 101 g of KNO3

∴ 126000 g of HNO3 is formed by 10163\dfrac{101}{63} x 126000
= 202000 g = 202 kg

Similarly,

NaNO3+H2SO4NaHSO4+HNO323+14+3(16)1+14+3(16)=23+14+48=1+14+48=85 g=63 g\begin{matrix} \text{NaNO}3 & + &\text{H}2\text{SO}4 & \longrightarrow & \text{NaHSO}4 & + \text{HNO}_3 \ 23 + 14 + 3(16) & & & & & 1 + 14 + 3(16) \ = 23 + 14 + 48 & & & & & = 1 + 14 + 48 \ = 85 \text{ g} & & & & & = 63 \text{ g} \end{matrix}

63 g of HNO3 is formed by 85 g of NaNO3

∴ 126000 g of HNO3 is formed by 8563\dfrac{85}{63} x 126000
= 170000 g = 170 kg

So, a smaller mass of NaNO3 is required.

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