A solution containing 3.75 mg/100 ml of X (335 g/mol) has a transmittance of 39.6% in a 1.50-cm cell at 425 nm. Calculate the molar absorptivity of X .
A=εbcA = εbcA=εbc
Concentration of A = 3.75mg100mL×1000mL/L335000mg/mol=\dfrac{3.75 mg}{100 mL} × \dfrac{1000mL/L}{335000mg/mol} =100mL3.75mg×335000mg/mol1000mL/L=
1.119×10−4M1.119 ×10^{-4} M1.119×10−4M
T=0.396T = 0.396T=0.396
A=−logT=−log0.396=0.402A = - log T = - log 0.396 = 0.402A=−logT=−log0.396=0.402
0.402=ε×1.50cm×1.119×10−4 mol/L0.402 = ε × 1.50 cm × 1.119 ×10^{-4 }\ mol/L0.402=ε×1.50cm×1.119×10−4 mol/L
ε=2.4×103 L/mol.cmε = 2.4 × 10^{3} \ L/ mol. cmε=2.4×103 L/mol.cm
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