The approximate length of the side of a cube containing 850 million gas molecules at 0°C and 1 atm w — States of Matter and Gaseous State Chemistry Question

💡 Solution & Explanation

Total moles n = 850 * 10^6 / 6.022 * 10^23 = 1.411 * 10^-15 mol. At STP, volume V = n * 22400 cm^3 = 3.16 * 10^-11 cm^3. The side length of the cube = V^(1/3) = (3.16 * 10^-11)^(1/3) = 3.16 * 10^-4 cm ≈ 3.15 * 10^-4 cm.