Question

According to the Nernst equation, the equilibrium potential for any ion, Ejon, distributed across a membrane is dependent on the internal, [lon]in, and external, [lon]out, concentrations of the ion (in moles or grams/liter); the valence of the ion, z (an integer); the absolute temperature, K; Faraday's constant, F; and the universal gas constant, R. Eion = ( R ) 2.303 log10 (Ionlout Tomlin If Faraday's constant is approximately 96,500 coulombs/mole, and the equilibrium potential for sodium ions across a skeletal muscle is +66 mV at a temperature of 37 °C when the external concentration is 145 mM and the internal concentration is 12 mM, evaluate both the magnitude and appropriate units for the universal gas constant, R. What is the magnitude of R?

Answer 1

The answer to the question is in the image below :

Nernst equation

1 Eion (RK) 2.303 los 1o Crom aut ) zF (lon) in J We have been givenga Eion = +66 mV K = 37°C 37 Nou pro 9 R= a 2 73.15 9 6,500 c/mole, amb 3 100 15k. Z=1 as en Nat is across skeletal muscle. Ion) out = 145 mM N External & shoot [I onion 12 mM Internal to trusky Putting values in Nernst Equation, u pustila 166 mV = 2.30 3 x RX 3 10.15 k l [us] brio en 1 x 96,500 c/mole wool [12] (el 66 mV = 71.4.275 K+R voll 12.08 med bt Dizuri shart bre del 9.6500 c/mole I 66 m v= 0.007401 K molefc XR X 1,082 R onnumrudhodlo DV sterol (a 7.401 X10 3 K mole/C x 1.082 bouw pul 8.9144 X 103 mil boook mole/C , X 1.082 = 8.241 io3 mV lK mole Ic' = 8.241 X 10² x 10-3 v/K mole/ - 8.241 v/K mole IC = 8.241 v*c k mole. = 8.241 J K mole. Me gu

mV = milivolts = 10^-3 V

= 8.241 *10^3 * 10^-3 V / K mole / C

{ 10^3*10^-3 cancel out each other as one is positive and one is negative}.

In units ; V / K mole / C

= V* C / K mole

Volt * Coulomb = Joule =J

= J/ K mole.

R = 8.241 J/K mole.

so the Magnitude if R = 8.241

and unit = J / K mole.

thank you...

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