The latest techniques in microspectroscopy are capable of detecting fluorescent

Question

The latest techniques in microspectroscopy are capable of detecting fluorescent molecules in volumes limited only by the spatial resolution of the microscope, as small as 1 cubic micrometer. If a 2 micro-molar solution is sampled by such a microscope, how many molecules (on average) would be found within this detection volume? The latest techniques in microspectroscopy are capable of detecting fluorescent molecules in volumes limited only by the spatial resolution of the microscope, as small as 1 cubic micrometer. If a 2 micro-molar solution is sampled by such a microscope, how many molecules (on average) would be found within this detection volume? The latest techniques in microspectroscopy are capable of detecting fluorescent molecules in volumes limited only by the spatial resolution of the microscope, as small as 1 cubic micrometer. If a 2 micro-molar solution is sampled by such a microscope, how many molecules (on average) would be found within this detection volume?

Explanation / Answer

2 micro molar for liter means 2 x 10-6 mol per liter

the space in the microspectroscopy is 1 cubic micrometer means 1.0 × 10-15 L

from the above two

1L ------------------------2 x 10-6 mol

1.0 × 10-15 L ---------------? how many moles lets X

X = 2 x 10-6 x 1.0 × 10-15 = 2 x 10-21 mol

1 mole is having avagadro no of molecules then

2 x 10-21 mol is having 2 x 10-21 x 6.02 x 1023 molecules

= 12.04 x 102 molecules = 1204 molecules

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