A KCl solution of conductivity 0 . 14 S m - 1 shows a resistance of 4 . 19 Ω in a conductivity cell. If the same cell is filled with an HCl solution, the resistance drops to 1 . 03 Ω . The conductivity of the HCl solution is ____ × 10 - 2 S m - 1 . (Round off to the Nearest Integer).

Step-by-step solution

The thermal conductivity of a material is a measure of its ability to conduct heat. It is commonly denoted by κ , , or . Heat transfer occurs at a lower rate in materials of low thermal conductivity than in materials of high thermal conductivity κ = 1 R · G * For same conductivity cell, G * is constant and hence κ · R . = constant. ∴ 0 . 14 × 4 . 19 = κ × 1 . 03 or, = 0 . 14 × 4 . 19 1 . 03 = 0 . 5695 Sm - 1 = 56 . 95 × 10 - 2 Sm - 1 ≈ 57 × 10 - 2 S