To calculate the EMF of the Galvanic cell, we will use the Nernst equation: Where: is the standard EMF of the cell, is the number of electrons transferred, is the reaction quotient.
Step 1: Calculate the standard EMF of the cell ( )
The standard EMF of the cell is the difference between the standard electrode potentials of the cathode and anode: The cathode is Cu ( ), The anode is Zn ( ). Thus:
Step 2: Calculate the reaction quotient ( )
The reaction quotient is given by:
Substitute the concentrations of the ions:
Step 3: Apply the Nernst equation
The number of electrons transferred in the reaction is 2, as the half-reaction for both zinc and copper involves 2 electrons. Substitute the values into the Nernst equation: We know that , so: Thus, the EMF of the Galvanic cell is approximately 1.12 V.
Step 4: Final Answer
The closest answer to our calculated value is: Thus, the correct answer is (B) 1.10 V.