Write the anode and cathode reactions and the overall cell reaction occurring in a lead storage battery during its use.
The anode of a lead storage battery is composed of lead (Pb) plates. During discharge, the lead at the anode reacts with the sulfate ions \( \text{SO}_4^{2-} \) to form lead(II) sulfate (PbSO₄). The anode reaction is: \[ \text{Pb (s)} + \text{SO}_4^{2-} \rightarrow \text{PbSO}_4 \, (s) + 2e^- \] This reaction occurs at the **anode**, where oxidation takes place, and lead is converted to lead(II) sulfate while releasing electrons.
The cathode is composed of lead dioxide (PbO₂). During discharge, the lead dioxide reacts with the hydrogen ions \( \text{H}^+ \) and the electrons from the anode to form lead(II) sulfate (PbSO₄) and water. The cathode reaction is: \[ \text{PbO}_2 \, (s) + 4\text{H}^+ \, (aq) + 2e^- \rightarrow \text{PbSO}_4 \, (s) + 2\text{H}_2\text{O} \, (l) \] This reaction occurs at the **cathode**, where reduction takes place, and lead dioxide is reduced to lead(II) sulfate while hydrogen ions are consumed.
The overall cell reaction during discharge is the combination of the anode and cathode reactions. The total reaction is: \[ \text{Pb (s)} + \text{PbO}_2 \, (s) + 2\text{H}_2\text{SO}_4 \, (aq) \rightarrow 2\text{PbSO}_4 \, (s) + 2\text{H}_2\text{O} \, (l) \] In this reaction, lead (Pb) and lead dioxide (PbO₂) react with sulfuric acid (\( \text{H}_2\text{SO}_4 \)) to form lead(II) sulfate (PbSO₄) and water during discharge. The overall reaction is a redox reaction where lead and lead dioxide are both converted into lead sulfate.
- The **anode reaction** involves the oxidation of lead to lead sulfate. - The **cathode reaction** involves the reduction of lead dioxide to lead sulfate and water. - The **overall cell reaction** during discharge is the combination of the two reactions, resulting in the formation of lead sulfate and water.
What amount of electric charge is required for the reduction of 1 mole of MnO$_4^{2-}$ into Mn$^{2+}$?
Galvanometer:
A galvanometer is an instrument used to show the direction and strength of the current passing through it. In a galvanometer, a coil placed in a magnetic field experiences a torque and hence gets deflected when a current passes through it.
The name "galvanometer" is derived from the surname of Italian scientist Luigi Galvani, who in 1791 discovered that electric current makes a dead frog’s leg jerk.
A spring attached to the coil provides a counter torque. In equilibrium, the deflecting torque is balanced by the restoring torque of the spring, and we have the relation:
\[ NBAI = k\phi \]
Where:
As the current \( I_g \) that produces full-scale deflection in the galvanometer is very small, the galvanometer alone cannot be used to measure current in electric circuits.
To convert a galvanometer into an ammeter (to measure larger currents), a small resistance called a shunt is connected in parallel to the galvanometer.
To convert it into a voltmeter (to measure potential difference), a high resistance is connected in series with the galvanometer.
Einstein's Explanation of the Photoelectric Effect:
Einstein explained the photoelectric effect on the basis of Planck’s quantum theory, where light travels in the form of small bundles of energy called photons.
The energy of each photon is hν, where:
The number of photons in a beam of light determines the intensity of the incident light.When a photon strikes a metal surface, it transfers its total energy hν to a free electron in the metal.A part of this energy is used to eject the electron from the metal, and this required energy is called the work function.The remaining energy is carried by the ejected electron as its kinetic energy.