This chemistry question involves key chemical concepts and calculations. The detailed solution below walks through each step, from identifying the reaction type to computing the final answer.
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Fresh day Bright, let's solve. To find the number of hydrogen ions, we need to follow these steps: 1. Identify the acid and its dissociation. 2. Calculate the moles of the acid. 3. Calculate the moles of hydrogen ions. 4. Use Avogadro's number to find the total number of hydrogen ions. Step 1: Identify the acid and its dissociation. Tetraoxosulphate (VI) acid is sulfuric acid, H_2SO_4. It is a strong acid and dissociates completely in water to produce hydrogen ions. The dissociation equation is: H_2SO_4 → 2H^+ + SO_4^2- This shows that 1 mole of H_2SO_4 produces 2 moles of H^+ ions. Step 2: Calculate the moles of H_2SO_4. Given concentration (C) = 0.02 moldm^-3 Given volume (V) = 1.0 dm^3 The number of moles (n) is calculated as: n(H_2SO_4) = C × V n(H_2SO_4) = 0.02 moldm^-3 × 1.0 dm^3 = 0.02 mol Step 3: Calculate the moles of hydrogen ions (H^+). From the dissociation equation, 1 mole of H_2SO_4 produces 2 moles of H^+ ions. n(H^+) = 2 × n(H_2SO_4) n(H^+) = 2 × 0.02 mol = 0.04 mol Step 4: Calculate the number of hydrogen ions. Given Avogadro's number (N_A) = 6.02 × 10^23 mol^-1 The number of ions is calculated as: Number of H^+ ions = n(H^+) × N_A Number of H^+ ions = 0.04 mol × 6.02 × 10^23 mol^-1 Number of H^+ ions = (4 × 10^-2) × (6.02 × 10^23) Number of H^+ ions = 24.08 × 10^21 Number of H^+ ions = 2.408 × 10^22 Rounding to two significant figures, this is 2.4 × 10^22. Comparing this to the given options: (a) 1.2 × 10^22 (b) 1.2 × 10^23 (c) 2.4 × 10^22 (d) 2.4 × 10^23 The calculated value matches option (c). The correct option is c). c) 2.4 × 10^22 What's next?