Calculate the time in minute, required to plate a substance area 3000cm, a layer copper 0.6mm thick,if a constant current of 2A is maintained assumming the density of copper is 8.8g/cm and one coulomb liberates 0.00033g/c
To calculate the time required to plate a substance area, we need to determine the amount of copper that needs to be deposited. Here's how to calculate it:
Step 1: Calculate the volume of copper required:
Volume = area x thickness
Volume = 3000 cm² x 0.6 mm = 1800 cm³
Step 2: Convert the volume to mass using the density of copper:
Mass = volume x density
Mass = 1800 cm³ x 8.8 g/cm³ = 15840 g
Step 3: Determine the number of coulombs required to deposit this mass of copper:
Coulombs = Mass / (0.00033 g/C)
Coulombs = 15840 g / 0.00033 g/C ≈ 48,000,000 C
Step 4: Calculate the time needed using the given current:
Time = Coulombs / Current
Time = 48,000,000 C / 2 A ≈ 24,000,000 seconds
Note: Since we want the time in minutes, we need to convert seconds to minutes:
Time in minutes = Time in seconds / 60
Time in minutes ≈ 24,000,000 / 60 ≈ 400,000 minutes
Therefore, it would take approximately 400,000 minutes to plate a substance area of 3000 cm² and a layer of copper 0.6 mm thick, assuming a constant current of 2A is maintained, given that the density of copper is 8.8 g/cm³ and one coulomb liberates 0.00033 g/c.