Respuesta :
To find the molar mass of the unknown metal M, we can use the concept of Faraday's laws of electrolysis. The amount of substance deposited during electrolysis is directly proportional to the quantity of electricity passed through the electrolyte.
Given:
Current (I) = 2.50 amperes
Time (t) = 35.0 minutes = 2100 seconds
Mass of metal deposited = 3.06 grams
First, we need to convert the current to coulombs:
1. Calculate the total charge (Q) passed through the electrolyte:
Q = I * t
Q = 2.50 A * 2100 s
Q = 5250 Coulombs
2. Next, we need to find the number of moles of the metal deposited:
Use the formula: Moles = Mass / Molar mass
Moles = 3.06 g / Molar mass
3. Calculate the number of moles of electrons passed during electrolysis:
1 mole of metal corresponds to 2 moles of electrons in this case.
4. Find the number of moles of electrons:
Moles of electrons = Moles of metal / 2
5. Calculate the charge (in Coulombs) carried by these moles of electrons:
Charge (Q) = Moles of electrons * Faraday constant (F)
6. Determine the molar mass of the metal by equating charges:
Molar mass = (Total charge passed through the electrolyte) / Moles of metal
By following these steps, we can calculate the molar mass of the unknown metal M and identify the metal. If you need further assistance with the calculations or have any more questions, feel free to ask!
Given:
Current (I) = 2.50 amperes
Time (t) = 35.0 minutes = 2100 seconds
Mass of metal deposited = 3.06 grams
First, we need to convert the current to coulombs:
1. Calculate the total charge (Q) passed through the electrolyte:
Q = I * t
Q = 2.50 A * 2100 s
Q = 5250 Coulombs
2. Next, we need to find the number of moles of the metal deposited:
Use the formula: Moles = Mass / Molar mass
Moles = 3.06 g / Molar mass
3. Calculate the number of moles of electrons passed during electrolysis:
1 mole of metal corresponds to 2 moles of electrons in this case.
4. Find the number of moles of electrons:
Moles of electrons = Moles of metal / 2
5. Calculate the charge (in Coulombs) carried by these moles of electrons:
Charge (Q) = Moles of electrons * Faraday constant (F)
6. Determine the molar mass of the metal by equating charges:
Molar mass = (Total charge passed through the electrolyte) / Moles of metal
By following these steps, we can calculate the molar mass of the unknown metal M and identify the metal. If you need further assistance with the calculations or have any more questions, feel free to ask!
