A current of 1.2A was passed through an electrolytic cell containing dilute Tetraoxosulphate(VI) for 40minutes. Calculate the volume of gas produced at s.t.p.
What solvent is in the electrolytic cell?
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To calculate the volume of gas produced at standard temperature and pressure (STP), we need to use the concept of Faraday's law of electrolysis.
Faraday's law states that the mass of substance produced at an electrode is directly proportional to the quantity of electricity passing through the electrolyte. It can be represented by the equation:
M = (m × Q) / (F × z)
Where:
M is the molar mass of the substance being produced.
m is the mass of the substance deposited.
Q is the charge passed through the cell.
F is the Faraday's constant (96,485 C/mol).
z is the number of electrons involved in the balanced equation of the reaction.
In this case, since we are asked to find the volume of gas produced, we need to convert from mass to volume using the ideal gas law:
PV = nRT
Where:
P is the pressure (in this case, STP = 1 atm).
V is the volume of gas produced, which we need to find.
n is the number of moles of gas produced (which we can calculate from the molar mass and mass of substance deposited).
R is the ideal gas constant (0.0821 L·atm/(mol·K)).
T is the temperature in Kelvin (273 K for STP).
To obtain the number of moles of gas produced, we need to rearrange Faraday's law to solve for n:
n = (m × Q) / (M × F × z)
Now, let's calculate the volume of gas produced step by step:
1. Convert the current from Amps to Coulombs.
Current (I) = 1.2 A
Time (t) = 40 minutes = 2400 seconds
Charge (Q) = I × t
2. Calculate the number of moles of gas produced.
Given information:
Molar mass of gas (M) - Missing information, we need it to continue.
Mass of substance deposited (m) - Missing information, we need it to continue.
Faraday's constant (F) = 96485 C/mol
Number of electrons involved (z) - Missing information, we need it to continue.
3. If you have the balanced equation for the electrolysis reaction, determine the number of electrons involved (z) in the reaction. This information is needed to continue. If the balanced equation is not given, please provide it.
4. Calculate the molar mass (M) of the substance being produced.
Molar mass (M) - Missing information, we need it to continue.
5. Calculate the number of moles of gas produced using Faraday's law:
n = (m × Q) / (M × F × z)
6. Use the ideal gas law to calculate the volume of gas produced at STP using the calculated number of moles (n):
V = (n × R × T) / P
Please provide the missing information (molar mass, mass of substance deposited, balanced equation, number of electrons involved) to continue with the calculations.