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NEET CHEMISTRYMedium

The number of electrons delivered at the cathode during electrolysis by a current of 1 ampere1 \text{ ampere} in 60 seconds60 \text{ seconds} is (charge on electron = 1.60×1019 C1.60 \times 10^{-19} \text{ C}):

A

6×10236 \times 10^{23}

B

6×10206 \times 10^{20}

C

3.75×10203.75 \times 10^{20}

D

7.48×10237.48 \times 10^{23}

Step-by-Step Solution

According to the definition of electric current, the total charge (QQ) passed is the product of current (II) and time (tt). Q=I×tQ = I \times t Given: I=1 AI = 1 \text{ A} t=60 st = 60 \text{ s} Q=1 A×60 s=60 CQ = 1 \text{ A} \times 60 \text{ s} = 60 \text{ C} The total charge is also equal to the number of electrons (nn) multiplied by the charge of a single electron (ee). Q=n×eQ = n \times e n=Qe=60 C1.60×1019 Cn = \frac{Q}{e} = \frac{60 \text{ C}}{1.60 \times 10^{-19} \text{ C}} n=37.5×1019=3.75×1020n = 37.5 \times 10^{19} = 3.75 \times 10^{20} Therefore, the number of electrons delivered at the cathode is 3.75×10203.75 \times 10^{20}.

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