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State True or false The mass of a subst...

State True or false
The mass of a substance deposited on the cathode or anode during electrolysis is given as `m=QM//Fn`.

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To determine whether the statement "The mass of a substance deposited on the cathode or anode during electrolysis is given as m = QM/Fn" is true or false, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Statement**: The statement claims that the mass (m) of a substance deposited during electrolysis can be expressed in the form of m = QM/Fn, where Q is the charge, M is the molar mass of the substance, and F is Faraday's constant, while n is the number of electrons transferred (valency). 2. **Faraday's First Law of Electrolysis**: According to Faraday's first law of electrolysis, the mass (m) of a substance deposited at an electrode is directly proportional to the quantity of electric charge (Q) passed through the electrolyte. This can be mathematically expressed as: \[ m = Z \times Q \] where Z is the electrochemical equivalent of the substance. 3. **Electrochemical Equivalent (Z)**: The electrochemical equivalent (Z) can be defined as: \[ Z = \frac{M}{nF} \] where M is the molar mass of the substance, n is the number of moles of electrons exchanged (valency), and F is Faraday's constant (approximately 96500 C/mol). 4. **Substituting Z into the Equation**: Now, substituting Z into the equation for mass: \[ m = Z \times Q = \left(\frac{M}{nF}\right) \times Q \] This can be rearranged to: \[ m = \frac{MQ}{nF} \] which matches the form given in the statement m = QM/Fn. 5. **Conclusion**: Since we have derived that the mass deposited can indeed be expressed as m = QM/Fn, we conclude that the statement is true. ### Final Answer: **True**

To determine whether the statement "The mass of a substance deposited on the cathode or anode during electrolysis is given as m = QM/Fn" is true or false, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Statement**: The statement claims that the mass (m) of a substance deposited during electrolysis can be expressed in the form of m = QM/Fn, where Q is the charge, M is the molar mass of the substance, and F is Faraday's constant, while n is the number of electrons transferred (valency). 2. **Faraday's First Law of Electrolysis**: ...
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