Question #181623

What mass of HNO3 containing 10% W/W of acid will be required to dissolve 2.5g of CaCO3


1
Expert's answer
2021-04-15T05:44:24-0400

First we write the balanced equation for the reaction as;


2HNO3 + CaCO3 \to Ca (NO3)2 + H2O + CO2


Moles of CaCO3 in 2.5g == massMolarmass=2.5g100.0869g/mol=0.024978mol\dfrac{mass}{Molar mass}=\dfrac{2.5g}{100.0869g/mol}=0.024978mol



Moles of HNO3 required;


Mole ratios of HNO3:CaCO3 = 2:1


Moles of HNO3 =21xmolesofCaCO3=\dfrac{2}{1}xmoles of CaCO3


=21x0.024978=0.049957mol=\dfrac{2}{1}x0.024978 = 0.049957mol


Concentration of acid = 10% w/w


That means 10g of HNO3 in 100g of solution


That is 10g63.01g/momoles\dfrac{10g}{63.01g/mo} moles of HNO3 in 100g of solution


= 0.1587 moles of HNO3 in 100g of solution



Now, If 0.1587 moles are in 100g of solution;

0.049957 moles will be in?


=0.049957molx100g0.1587mol=\dfrac{0.049957mol x 100g}{0.1587mol}


== 31.479 g of 10% w/w of HNO3

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