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Question
The molar conductivities at infinite dilution of barium chloride, sulphuric acid and hydrochloric acid are 280, 860 and 426 S cm2 mol−1 respectively. The molar conductivity at infinite dilution of barium sulphate is ______ S cm2 mol−1.
(Round off to the nearest integer)
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Solution
The molar conductivities at infinite dilution of barium chloride, sulphuric acid and hydrochloric acid are 280, 860 and 426 S cm2 mol−1 respectively. The molar conductivity at infinite dilution of barium sulphate is 288 S cm2 mol−1.
Explanation:
Given:
\[\ce{\Lambda{^0_m}}\] (BaCl2) = 280 S cm2 mol−1
\[\ce{\Lambda{^0_m}}\] (H2SO4) = 860 S cm2 mol−1
\[\ce{\Lambda{^0_m}}\] (HCl) = 426 S cm2 mol−1
To find:
\[\ce{\Lambda{^0_m}}\] (BaSO4) = ?
Formula:
\[\ce{\Lambda{^0_m}(BaSO_4) = \Lambda{^0_m}(BaCl_2) + \Lambda{^0_m}(H_2SO_4) - 2\Lambda{^0_m}(HCl)}\]
= 280 + 860 − 2 × 426
= 280 + 860 − 852
= 288 S cm2 mol−1
∴ The molar conductivity at infinite dilution of barium sulphate is 288 S cm2 mol−1.
