A mixture of compounds X and Y in a 0.100-cm cell had an absorbance of 0.215 at 272 nm and 0.191 at 327 nm. Find [X] and [Y] in the mixture. (Enter unrounded values.)

Respuesta :

Answer: The concentration of X is [tex]7.13582\times 10^{-6}[/tex] and the concentration of Y is [tex]2.53159\times 10^{-5}[/tex].

Step-by-step explanation:

Since we have given that

At 272 nm, absorbance = 0.215

At 327 nm, absorbance = 0.191

As we have given that

                               Compound X             Compound Y

272                               16400                            3870

327                                3990                             6420

So, our equations becomes

[tex]16400C_1+3870c_2=0.215\\\\3990C_1+6420C_2=0.191[/tex]

By solving these two equations, we get that

[tex]C_1=7.13582\times 10^{-6}\\\\C_2=2.53159\times 10^{-5}[/tex]

Hence, the concentration of X is [tex]7.13582\times 10^{-6}[/tex] and the concentration of Y is [tex]2.53159\times 10^{-5}[/tex].