The standard electrode potential for Ni²⁺/Ni couple is -0.25 V and for Ag⁺/Ag couple is 0.80 V. These two couples are connected to make an electrochemical cell. The redox reaction is spontaneous. The cell potential will be:
Remember: E°cell = E°cathode - E°anode
+ 1.05 V
-1.05 V
+ 0.55 V
-0.55 V
E°cell = E°cathode - E°anode = 0.80 V - (-0.25 V) = 1.05 V. Positive means spontaneous.
For the curve \( \sqrt{x} + \sqrt{y} = 1 \), find the value of \( \frac{dy}{dx} \) at the point \( \left(\frac{1}{9}, \frac{1}{9}\right) \).
If \(\begin{vmatrix} 2x & 3 \\ x & -8 \\ \end{vmatrix} = 0\), then the value of \(x\) is: