Answer: 1. There are [tex]0.20\times 10^{23}[/tex] molecules of sulfuric acid in the solution.
2. 0.093 moles of baking soda have been used.
Explanation:
According to avogadro's law, 1 mole of every substance occupies 22.4 L at STP and contains avogadro's number [tex]6.023\times 10^{23}[/tex] of particles.
To calculate the moles, we use the equation:
1. [tex]\text{Number of moles of sulpfuric acid}=\frac{\text{Given mass}}{\text {Molar mass}}=\frac{3.2g}{98g/mol}=0.033moles[/tex]
1 mole of [tex]H_2SO_4[/tex] contains = [tex]6.023\times 10^{23}[/tex] molecules of sulfuric acid
Thus mole of [tex]H_2SO_4[/tex] contains = [tex]\frac{6.023\times 10^{23}}{1}\times 0.033=0.20\times 10^{23}[/tex] molecules of sulfuric acid
There are [tex]0.20\times 10^{23}[/tex] molecules of sulfuric acid in the solution.
2. [tex]\text{Number of moles of baking soda}=\frac{\text{Given mass}}{\text {Molar mass}}=\frac{7.8g}{84g/mol}=0.093moles[/tex]
0.093 moles of baking soda have been used.
