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].