Conductance (Siemens, S) is directly proportional to the area of the vessel and the concentration of solution in it and is inversely proportional to the length of the vessel, then the unit of constant of proportionality is:

Question

Conductance (Siemens, S) is directly proportional to the area of the vessel and the concentration of solution in it and is inversely proportional to the length of the vessel, then the unit of constant of proportionality is: (A) S m mol -1 (B) S m 2 mol -1 (C) S -2 m 1 mol (D) S 2 m 2 mol -2

Tardigrade Admin · Accepted Answer

c propto a and c propto molarity propto (1/1) c propto ( a / l ) × molarity = K × ( a / l ) × molarity ∴ Unit of K = S × ( m / m 2) × (( m 3)/ mol )= S m 2 mol -1

Q. Conductance (Siemens, S) is directly proportional to the area of the vessel and the concentration of solution in it and is inversely proportional to the length of the vessel, then the unit of constant of proportionality is:

$S m m o l^{- 1}$

$S m^{2} m o l^{- 1}$

$S^{- 2} m^{1} m o l$

$S^{2} m^{2} m o l^{- 2}$

$c \propto a$ and $c \propto$ molarity $\propto \frac{1}{1}$
$c \propto \frac{a}{l} \times$ molarity $= K \times \frac{a}{l} \times$ molarity
$∴$ Unit of $K = S \times \frac{m}{m ^{2}} \times \frac{( m ^{3} )}{m o l} = S m^{2} m o l^{- 1}$

Q. Conductance (Siemens, S) is directly proportional to the area of the vessel and the concentration of solution in it and is inversely proportional to the length of the vessel, then the unit of constant of proportionality is:

Smmol−1

Sm2mol−1

S−2m1mol

S2m2mol−2

c∝a and c∝ molarity ∝11​ c∝la​× molarity =K×la​× molarity ∴ Unit of K=S×m2m​×mol(m3)​=Sm2mol−1

$S m m o l^{- 1}$

$S m^{2} m o l^{- 1}$

$S^{- 2} m^{1} m o l$

$S^{2} m^{2} m o l^{- 2}$

$c \propto a$ and $c \propto$ molarity $\propto \frac{1}{1}$
$c \propto \frac{a}{l} \times$ molarity $= K \times \frac{a}{l} \times$ molarity
$∴$ Unit of $K = S \times \frac{m}{m ^{2}} \times \frac{( m ^{3} )}{m o l} = S m^{2} m o l^{- 1}$