Determine the total charge that this battery is capable of providing. What maxim

Question

Determine the total charge that this battery is capable of providing. What maximum current does this battery provide in 30 minutes? Consider a copper wire with a diameter of 1 4 7 mm. What is the drift speed of the electrons in the copper wire when a current of 15.0 A flows through it? Assume that each copper atom contributes one free electron to the metal The density of copper Is 8.92 g/cm^3. m/s How does this drift speed compare to the random rms speed of an electron at 20 0 degree C?. To make this comparison, determine the random rms speed of an electron at 20.0 degree C using the ideal gas model and find the ratio of the two speeds. v_rms/v_d =

Explanation / Answer

v = I/(neA)

volume = A*L

A= area of cross section = pi*r^2

r = radius = d/2 = 0.735 mm

d = diameter = 1.47 mm =

n = N*D/M

N = avagadro number = 6.023*10^23

D = density

M = atomic mass

drift speed v = IM/(N*D*e*A)

vd = (15*0.029)/(6.023*10^23*8920*1.6*10^-19*pi*(0.735*10^-3)^2)

vd = 2.98*10^-4 m/s   <<<=======answer

(b)

Vrms = sqrt(3RT/M)

Vrms = sqrt(3*8.314*293/0.029)

Vrms = 502 m/s

Vrms/Vd = 502/(2.98*10^-4) = 168.4*10^4   <<<<=======answer

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