The drug Librium gives a polarographic wave withE1/2=-0.265V(versus S.C.E.) in 0.05MH2SO4. A 50.0 - Mlsample containing Librium gave a wave height of0.37μA. When 2.00mLof 3.00mMLibrium in0.05MH2SO4were added to the sample, the wave height increased to0.80μA. Find the molarity of Librium in the unknown.

Short Answer

Expert verified

The concentration of Librium in given unknown solution is 0.096mM .

Step by step solution

01

Define Molarity.

Molarity can be defined as the moles of solute (in grams) to the volume of the solution (in litres). The molarity of a solution can be given by the formula,

MolarityM=MolesofsoluteingVolumeofsolutioninL

02

 Determine the Molarity of Librium.

Given,

0.05MH2SO4

lx=0.37μA(wave height)

ls=0.80μA(wave height after addition of sulfuric acid)

XiSf+Xf=lxls+XxmM3.0mM2.00mL52.00mL+xmM50.0052.00=0.37μA0.80μAx0.1154mM+0.9615xmM=0.4625x=0.4625×0.1154mM+0.9615xmM0.553x=0.0534x=0.096mM

The concentration of Librium in given unknown solution is 0.096mM .

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