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What is the EMF of a galvanic cell if E°...

What is the EMF of a galvanic cell if E°cathode = 0.80 volts and E°anode = -0.76 volts?

A

1.56 volts

B

0.04 volts

C

-1.56 volts

D

-0.04 volts

Text Solution

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The correct Answer is:
To find the EMF (electromotive force) of a galvanic cell, we can use the formula: \[ E^\circ_{\text{cell}} = E^\circ_{\text{cathode}} - E^\circ_{\text{anode}} \] ### Step-by-Step Solution: 1. **Identify the values given**: - \( E^\circ_{\text{cathode}} = 0.80 \, \text{volts} \) - \( E^\circ_{\text{anode}} = -0.76 \, \text{volts} \) 2. **Substitute the values into the formula**: \[ E^\circ_{\text{cell}} = 0.80 \, \text{volts} - (-0.76 \, \text{volts}) \] 3. **Simplify the equation**: - Subtracting a negative is the same as adding: \[ E^\circ_{\text{cell}} = 0.80 \, \text{volts} + 0.76 \, \text{volts} \] 4. **Perform the addition**: \[ E^\circ_{\text{cell}} = 1.56 \, \text{volts} \] 5. **Conclusion**: - The EMF of the galvanic cell is \( 1.56 \, \text{volts} \). ### Final Answer: The EMF of the galvanic cell is **1.56 volts**. ---
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