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Answer :
Final answer:
The emf of the battery is calculated by dividing the work done by the charge, resulting in approximately 6 V, which corresponds to (Option B).
Explanation:
To calculate the emf (electromotive force) of a battery using the provided information, you apply the relationship that emf equals the work done per unit charge. It is given by the formula emf = W/q, where W is the work done in joules (J) and q is the charge in coulombs (C).
The charge q can be found by multiplying the number of electrons by the elementary charge e (approximately 1.602 x 10¹⁹C). Since we have 2.5 x 10¹⁹electrons, the charge q is 2.5 x 10¹⁹ multiplied by 1.602 x 10⁻¹⁹, which equals 4.005 C. Now, using the given work W of 24 J, the emf can be calculated as follows:
emf = W/q
emf = 24 J / 4.005 C
emf ≈ 6 V
Therefore, the answer is 6 V which corresponds to (Option B).
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