Question

Conductivity of a saturated solution of \[C{u_2}\left[ {Fe{{\left( {CN} \right)}_6}} \right]\] after subtracting the conductivity of water is \[1.28 \times {10^{ - 5}}{\Omega ^{ - 1}}c{m^{ - 1}}\].Calculate value of solubility of \[C{u_2}\left[ {Fe{{\left( {CN} \right)}_6}} \right]\]
\[\Lambda mx\left( {CuS{O_4}} \right) = 260Scm2mo{l^{ - 1}}\]
\[\Lambda mx\left( {{K_2}S{O_4}} \right) = 300Scm2mo{l^{ - 1}}\]
\[\Lambda mx\left( {{K_4}Fe{{\left( {CN} \right)}_6}} \right) = 720Scm2mo{l^{ - 1}}\]
Report your answer as (solubility) \[ \times \left( {{{10}^5}} \right)\]

Answer 1

Hint: We know that Conductivity is the proportion of the simplicity at which an electric charge or warmth can go through a material. A transmitter is a material which gives next to no protection from the progression of an electric flow or nuclear power. Materials are delegated metals, semiconductors, and encasings.

Complete answer:
We must know that electrical resistivity (additionally called explicit electrical opposition or volume resistivity) is a central property of a material that acts unequivocally against electric flow. Its converse, called electrical conductivity, evaluates how well a material behaves. A low resistivity demonstrates a material that promptly permits electric flow. Resistivity is generally addressed by the Greek letter ρ (rho). The SI unit of electrical resistivity is the ohm-meter. For instance, if a one meter strong 3D shape of material has sheet contacts on two inverse countenances, and the opposition between these contacts is one ohm, at that point the resistivity of the material is $1$ ohm meter.
The balanced chemical equation for the given reaction is,
${K_4}Fe{\left( {CN} \right)_6} + 2CuS{O_4} \to C{u_2}\left[ {Fe\left( {C{N_6}} \right)} \right] + 2{H_2}S{O_4}$
The conductivity of the given complex is calculated as,
${\lambda _m}C{u_2}\left[ {Fe{{\left( {CN} \right)}_6}} \right] = {\lambda _m}{K_4}Fe{\left( {CN} \right)_6} + 2{\lambda _m}CuS{O_4} - 2{\lambda _m}{K_2}S{O_4}$
Now we can substitute the known values we get,
${\lambda _m} = 720 + 2\left( {260} \right) - 2\left( {300} \right)$
On simplification we get,
${\lambda _m} = 640sc{m^2}mo{l^{ - 1}}$

Additional information:
We know that the electrical conductivity or explicit conductance is the complementary of electrical resistivity. It addresses a material's capacity to channel electric flow. It is usually implied by the Greek letter \[\sigma \] (sigma), yet $K$ (kappa) (particularly in electrical designing) and \[\gamma \] (gamma) are at times utilized. The SI unit of electrical conductivity is Siemens per meter (S/m).

Note:
Conductivity may allude to:
Electrical conductivity, a proportion of a material's capacity to direct an electric flow
Conductivity (electrolytic), the electrical conductivity of an electrolyte in arrangement
Ionic conductivity (strong state), electrical conductivity because of particles moving situation in a precious stone cross section
Pressure driven conductivity, a property of a permeable material's capacity to send water
Thermal conductivity, a serious property of a material that shows its capacity to lead heat.