Q.A current of 0.5 ampere is passed for 30 minutes through a voltmeter containing copper sulphate solution.Calculate the mass of Cu deposited ata the cathode .Given that atomic mass of Cu is 63-0 amu.Please give me answer fast...❤❤❤❤
Answers
Answer:
0.296 grams
Explanation:
Given:
Current (I) = 0.5 A
Time taken for current to flow through Copper Sulphate Solution (t) = 30 mins
0.5 A = 0.5 C/s
⇒ Total charge (Q) = (0.5) (30 min) (60 sec) = 900 Coulomb
∴ the number of moles of Copper (n) = Q/zF
where;
z = number of electrons in the half-cell reaction
F = Faraday constant = 96,485/mol.
Hence,
n = 900/(2*96485)
= 0.00466 mol
∴ the amount of Cu deposited on the cathode = 0.00466 * 63.546
= 0.296 grams
mass of Cu deposited is 0.2937 g
•According to Faraday's first law :
weight deposited at cathode or anode is directly proportional to amount of charge passed through it.
• w = Zq or w = ZIt
• w= (M/nF)It where Z = (M/nF)
• where M = atomic mass = 63
• n = no. of electrons n=2
• F = Faraday's constant = 96500
• I = current passed = 0.5 A
• t =time for which current is passed
• w = (63/2×96500)×0.5×1800
• w = (63/2×96500)×900
• w = 63×9/(2×965)
• w =567 /(1930)
• w = 0.2937 g