In a cell membrane with a thickness of 4.5 nm there is an electric field of 1.4 x 10 ^ 7 V / m oriented towards the interior of the cell. (a) What total work does a Na / K pump have to do during a normal cycle where it brings two K + ions into the cell and takes out three Na + ions? (b) The energy required is provided by the consumption of one molecule of adenosine triphosphate (ATP). Knowing that one mole ATP can release 30.5 KJ, estimate the efficiency of the Na / K pump. (please show steps, for

Physics for Scientists and Engineers: Foundations and Connections
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Chapter8: Conservation Of Energy
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In a cell membrane with a thickness of 4.5 nm there is an electric field of 1.4 x 10 ^ 7 V / m oriented towards the interior of the cell. (a) What total work does a Na / K pump have to do during a normal cycle where it brings two K + ions into the cell and takes out three Na + ions? (b) The energy required is provided by the consumption of one molecule of adenosine triphosphate (ATP). Knowing that one mole ATP can release 30.5 KJ, estimate the efficiency of the Na / K pump.

(please show steps, formulas and explanation for my own understanding. Thankyou)

Answer: (a) 1.1 x 10-20; (b) 19.9%

 

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