1. During an action potential, Na+ ions move into the cell at a rate of about 3
1)
number of moles crossing per unit artea per unit time = 3e-7
R = radius = D/2 = 30um/2 = 15 um = 15e-6 m
Area = pi*R^2 = 3.14*15e-6*15e-6 = 7.065e-10
no of moles cossing per second = 3e-7*7.065e-10 = 2.1195e-16 mol/us
no of charges rossing per us = N = 2.1195e-16*6.023e23 = 127657485
charge flowing per s = I = 1.27657485e+8*1.6e-19/1e-6
I = 2.04*10^-5 A
power = dV*I = 30e-3*2.04e-5 = 6.12e-7
2)
ENergy consumed = (2.1*2) + (0.075*5) + (2.5*1) + (2.2) =
9.275 kwh/day
energy consumed for total month E tot = 9.275*30 = 278.25 KWh
cost = $278.25*0.105
part B)
energy consumption for 1 year = 9.275*365 = 3385.375
Kwh
= 3385.375*1000*60*60 = 1.218735e+10 J = 2.91e+9 cal =
2.91e+6 k cal
Eout = 2.91e+6 k cal
Ein = N*7500 kcal
Eout = 0.37*Ein
0.37*N*7500 = 2.91e+6
N = 1048.7 kg of coal
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