Chem10 Flashcards
State Faraday’s First Law
Mass of substance deposited is proportional to quantity of electricity passed (m ∝ Q)
What is the mathematical form of Faraday’s First Law?
m = (M × I × t)/(z × 96500) where z = charge on ion
If 2A for 1h deposits 2.4g Mg, find equivalent mass (z=2)
Q=2×3600=7200C; Eq.mass=(2.4×96500)/7200=32.17g (close to Mg²⁺ theoretical 12.15g)
How much Cu is deposited by 10A for 30 min? (Cu=63.5)
Q=10×1800=18000C; m=(18000×31.75)/96500=5.93g
Why is mass directly proportional to current?
Because m ∝ Q and Q = I × t
If time doubles while current stays constant, what happens to mass?
Mass doubles (m ∝ t)
What is the relationship between 1 coulomb and silver?
1C deposits 1.118 mg of Ag
Derive how 96,500C became 1 Faraday
To deposit 108g Ag (1 eq.mass): Q=108g/0.001118g/C≈96,500C
If 1.5A deposits 0.5g metal in 1h, find equivalent mass
Q=1.5×3600=5400C; Eq.mass=(0.5×96500)/5400=8.94g
Why is Faraday’s First Law important industrially?
Predicts exact amount of product from given current/time
How does charge relate to moles of electrons?
1 mole e⁻ = 1 Faraday = 96,500C
What is the industrial significance of aluminum’s 3+ charge?
Needs 3× more electricity per mole than 1+ ions (3 Faradays/mole)