It will take 2273 h.
Here, the ideal gas equation is used.
According to the ideal gas law, a gas's pressure is directly proportional to its volume and temperature.
[tex]PV = nRT\\[/tex]
where,
P = Pressure
V = Volume
n = No. of moles
R = Ideal gas constant
T = Temperature
Given,
V = 115.0 L
P = 1 atm
T = 273 K
I = 121 mA
R = 0.0821 atm. L/mol.K
Put the values in the above formula
[tex]n = \frac{PV}{RT}[/tex]
[tex]= \frac{1(115)}{(0.0821) (273)}[/tex]
[tex]= 5.13 mol[/tex]
The equation says,
2H⁺ + 2e⁻ → H₂
no. of electrons = 2
1 mol of the electron produces a 96500 C charge
5.13 mol of electrons will give = 5.13 × 2 × 96500
= 990,090 C
I = 121 mA = 0.121 C/s (1mA = 0.001 C/s)
We know,
q = It
where,
q = charge
I = current
t = time
t = q/I
t = 990,090/ 0.121
t = 8182562 s
t = 2273 h
Therefore, it will take 2273 h.
Learn more about the ideal gas law here:
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