Question

In: Chemistry

If the concentration of glucose inside an E. coli cell is 5.1 mM, how many glucose...

If the concentration of glucose inside an E. coli cell is 5.1 mM, how many glucose molecules are in the cell? Assume an E. coli cell to be a cylinder 1.9 micrometers long and 0.8 micrometers in diameter. Enter your answer to the nearest ones.

I thought it was 3.0*10⁶ but it was wrong.

Expert Solution

Answer – Given, concentration of glucose = 5.1 mM

cylinder 1.9 micrometers long and 0.8 micrometers in diameter

so , radius, r = 0.80 micrometers / 2 = 0.4 micrometers

we know

1 micrometers = 1.0*10^-5 dm

So, 0.4 micrometers = ?

= 4.0*10^-4 dm

And length , h = 1.9 micrometers = 1.9*10^-5 dm

So, volume of coli cell

Volume , V = π*r²*h

= 3.14 * (4.0*10^-4 dm)² * 1.9*10^-5 dm

= 9.55*10^-12 dm³

We know, 1 dm³ = 1 L

So, molarity = moles/ L

So, moles = molarity * volume L

= 0.0051M * 9.55*10^-12 L

= 4.87*10^-14 moles

We know ,

1 mole = 6.023*10²³ molecules

So, 4.87*10^-14 moles = ?

= 2.93*10¹⁰ molecules

queen_honey_blossom answered 2 years ago

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