How long will it take for a 1.5amperes current to coat evenly a layer of copper 0.1mm thick on both sides of a 12cm * 12cm copper plate.(ece of copper =0.000331gc^_1.
To determine the time it will take for the 1.5 amperes current to coat the given thickness of copper, you need to calculate the total amount of copper that needs to be deposited.
First, calculate the total surface area of the copper plate by multiplying the length and width:
Area = length * width = 12 cm * 12 cm
Next, calculate the volume of copper using the surface area and thickness:
Volume = Area * thickness = Area * 0.1 mm
Convert mm to cm by dividing by 10:
Volume = Area * (0.1 mm / 10) cm = Area * 0.01 cm
To find the mass of the copper needed, multiply the volume by the given density of copper:
Mass = Volume * density = Volume * 0.000331 g/cm^3
Next, calculate the total charge required to deposit this amount of copper. For this, you need to convert the mass into moles using the molar mass of copper. The molar mass of copper is approximately 63.55 g/mol:
Moles = Mass / molar mass = Mass / 63.55 g/mol
Now, calculate the total charge required using Faraday's law of electrolysis, which states that 1 mole of electrons is equal to 1 Faraday (F) of charge (approximately 96,485 Coulombs):
Charge = Moles * Faraday's constant = Moles * 96,485 C/mol
Finally, divide the total charge by the given current to find the time required:
Time = Charge / current = Charge / 1.5 A
By following these calculations, you should be able to determine the time it will take for a 1.5 amperes current to coat the copper plate evenly with a layer of 0.1mm thickness.