How many significant figures should be present in the answer of the following calculations?
$$\frac{2.5 \times 1.25 \times 3.5}{2.01}$$
Least precise term 2.5 or 3.5 has two significant figures.
Hence, the answer should have two significant figures
$$\frac{2.5 \times 1.25 \times 3.5}{2.01} \approx 5.4415=5.4$$
25 What is the symbol for SI unit of mole? How is the mole defined?
Symbol for SI unit of mole is mol.
One mole is defined as the amount of a substance that contains as many particles and there are atoms in exactly $12 \mathrm{~g}(0.012 \mathrm{~kg})$ of the ${ }^{12} \mathrm{C}$ - isotope.
$$\frac{1}{12} \mathrm{~g} \text { of }{ }^{12} \mathrm{C} \text {-isotope }=1 \mathrm{~mole}$$
What is the difference between molality and molarity?
Molality It is defined as the number of moles of solute dissolved in 1 kg of solvent. It is independent of temperature.
Molarity It is defined as the number of moles of solute dissolved in 1 L of solution. It depends upon temperature (because, volume of solution $\propto$ temperature).
Calculate the mass per cent of calcium, phosphorus and oxygen in calcium phosphate $\mathrm{Ca}_3\left(\mathrm{PO}_4\right)_2$.
$$\begin{aligned} \text { Mass per cent of calcium } & =\frac{3 \times(\text { atomic mass of calcium })}{\text { molecular mass of } \mathrm{Ca}_3\left(\mathrm{PO}_4\right)_2} \times 100 \\ & =\frac{120 \mathrm{u}}{310 \mathrm{u}} \times 100=38.71 \% \end{aligned}$$
$$\begin{aligned} \text { Mass per cent of phosphorus } & =\frac{2 \times(\text { atomic mass of phosphorus) }}{\text { molecular mass of } \mathrm{Ca}_3\left(\mathrm{PO}_4\right)_2} \times 100 \\ & =\frac{2 \times 31 \mathrm{u}}{310 \mathrm{u}} \times 100=20 \% \end{aligned}$$
$$\begin{aligned} \text { Mass per cent of oxygen } & =\frac{8 \times(\text { atomic mass of oxygen })}{\text { molecular mass of } \mathrm{Ca}_3\left(\mathrm{PO}_4\right)_2} \times 100 \\ & =\frac{8 \times 16 \mathrm{u}}{310 \mathrm{u}} \times 100=41.29 \% \end{aligned}$$
45.4 L of dinitrogen reacted with 22.7 L of dioxygen and 45.4 L of nitrous oxide was formed. The reaction is given below
$$2 \mathrm{~N}_2(\mathrm{~g})+\mathrm{O}_2(\mathrm{~g}) \longrightarrow 2 \mathrm{~N}_2 \mathrm{O}(\mathrm{g})$$
Which law is being obeyed in this experiment? Write the statement of the law?
For the reaction,
$$\underset{2\mathrm{V}}{2 \mathrm{~N}_2(g)}+\underset{1 \mathrm{V}}{\mathrm{O}_2(g)} \longrightarrow \underset{2 \mathrm{~V}}{2 \mathrm{~N}_2 \mathrm{O}}(\mathrm{g})$$
Hence, the ratio between the volumes of the reactants and the product in the given question is simple i.e., $2: 1: 2$. It proves the Gay-Lussac's law of gaseous volumes.