Change in ion's electrical potential energy

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SUMMARY

The discussion focuses on calculating the change in electrical potential energy (Uelec) for a Na+ ion transitioning from an electric potential of -70 mV inside a cell to 0 V outside the cell. The correct approach involves recognizing that the change in voltage is +0.07 V, calculated as 0 V - (-0.07 V). To convert this change into electronvolts (eV), one must multiply the charge of the ion (1.6 x 10-19 C) by the change in voltage, resulting in Uelec expressed in Joules, which can be converted to eV.

PREREQUISITES
  • Understanding of electric potential and voltage
  • Knowledge of the relationship between charge, voltage, and energy (U = qV)
  • Familiarity with unit conversions between Joules and electronvolts (eV)
  • Basic concepts of ion movement in biological systems
NEXT STEPS
  • Study the concept of electric potential energy in electrochemistry
  • Learn about the conversion between Joules and electronvolts
  • Explore the Nernst equation for ion concentration gradients
  • Investigate the role of ion channels in cellular membrane potential
USEFUL FOR

This discussion is beneficial for students in physics or biology, particularly those studying cellular physiology, electrochemistry, or anyone needing to understand the principles of electrical potential energy in ions.

csimon1
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Homework Statement



A Na+ ion moves from inside a cell, where the electric potential is -70 mV, to outside the cell, where the potential is 0 V.

Uelec = ? eV

Homework Equations



I thought you would convert -70 mV to V (therefore it would be -.07) and multiply it by 1.6*10e-19 C. But it is rejecting my answer so I don't know what formula to use.

The Attempt at a Solution


See above.
 
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csimon1 said:

Homework Statement



A Na+ ion moves from inside a cell, where the electric potential is -70 mV, to outside the cell, where the potential is 0 V.

Uelec = ? eV

Homework Equations



I thought you would convert -70 mV to V (therefore it would be -.07) and multiply it by 1.6*10e-19 C. But it is rejecting my answer so I don't know what formula to use.

The Attempt at a Solution


See above.
First off, the change in voltage is positive. To see this, use final minus initial:
0 - (-.07) = +.07. Second, if you multiply by just 1.6e-19, your answer is in Joules. From what you've said, it seems to want eV. 1 eV is the amount of Joules required to move one electron through one volt. [U = qV = (1.6e-19 C) (1V) = 1.6e-19 J]
 
Ohhh. Thank you.
 

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