Explain the difference between an electrochemical cell and electrolytic cell. State Kohlrausch's law and write its applications.
Step 1: Difference Between Electrochemical and Electrolytic Cells: Feature & Electrochemical Cell & Electrolytic Cell
Energy Conversion & Chemical to electrical & Electrical to chemical
Spontaneity & Spontaneous reaction & Non-spontaneous reaction
Example & Galvanic/Daniel cell & Electrolysis of NaCl
Step 2: Kohlrausch's Law: \[ \Lambda_m^0 = \lambda^0_+ + \lambda^0_- \] where \( \lambda^0_+ \) and \( \lambda^0_- \) are the limiting molar conductivities of cations and anions, respectively.
Step 3: Applications: - Used to calculate the molar conductivity of weak electrolytes. - Helps in determining dissociation constants of weak acids and bases.
What type of battery is the lead storage battery? Write the anode and the cathode reactions and the overall reaction occurring in a lead storage battery when current is drawn from it.
Find the values of \( x, y, z \) if the matrix \( A \) satisfies the equation \( A^T A = I \), where
\[ A = \begin{bmatrix} 0 & 2y & z \\ x & y & -z \\ x & -y & z \end{bmatrix} \]