How many strokes of the hand pump assuming no leakage or heating effects, would be needed to inflate — States of Matter and Gaseous State Chemistry Question

💡 Solution & Explanation

Volume of air pushed in one stroke V_stroke = Area × length = 4 cm^2 × 25 cm = 100 cm^3 = 0.1 L. Since the tire already contains 1 L of air at 1 bar, the final amount of air needed at 8 bar is: P1 × V1 = P_final × V_final → 1 bar × (1 + n × 0.1) = 8 bar × 1 L → 1 + 0.1 n = 8 → 0.1 n = 7 → n = 70 strokes. The closest option is (c) 80.