$$\begin{matrix} \text{Zn} & + & 4\text{HNO}_3 & \longrightarrow \\ 1 \text{ mole} && 4 \text{ moles} & \\ 65 && 4[1 + 14 + 3(16)] & \\ = 65 \text{ g} & & = 252 \text{ g} & \\ & & & \\ \text{Zn(NO}_3)_2 & + & 2\text{H}_2\text{O} & + & 2\text{NO}_2 \\ 1\text{ mole}&& 2 \text{ moles} && 2\text{ moles} \\ 65 + 2[14 + 3(16)] & & 2[2(1) + 16] && 2[14 + 2(16)] \\ = 189 \text{ g} & & = 36 \text{ g} & & = 92 \text{ g} \\ \end{matrix}$$
(a) Number of moles of Zn = $\frac{\text{Mass}}{\text{Molar mass}}$ = $\frac{32.5}{65}$ = 0.5 mole
(b) From the equation, 65 g of Zn reacts with 252 g of HNO3
∴ 32.5 g of Zn reacts with $\frac{252}{65}$ × 32.5 = 126 g of HNO3
(c) From the equation, 65 g of Zn produces 2 × 22.4 = 44.8 L of NO2 at STP
∴ 32.5 g of Zn produces $\frac{44.8}{65}$ × 32.5 = 22.4 L of NO2 at STP
Hence, 0.5 mole of zinc is required, 126 g of nitric acid is needed, and 22.4 L of NO2 is liberated at STP.