10. A Copper atom has 29 electrons revolving
around the nucleus. A copper ball contains 4 x 1023
atoms. What fraction of the electrons be removed to
give the ball a charge of +9.6 micro C?
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Solution :
Here ,
- No of electrons = 29
- Total no of atoms = 4 x 10 ²³
⇒ Total number of electrons ( N) = 29 x 4 x 10²³ = 116 x 10²³
Now ,
- Charge of the ball (q)= 9.6 μ C
- Charge on an electron (e)= 1.6 x 10-¹⁹ C
we know that ,
⇒ q = n x e
⇒ n = q / e
⇒ n = 9.6 x 10-⁶ / 1.6 x 10-¹⁹
⇒ n = 6 x 10¹³
Fraction of electrons to be removed
= n / N
= 6 x 10¹³ / 116 x 10²³
= 0.0517 x 10-¹⁰
= 5. 17 x 10-¹²
The fraction of electron's to be removed is 5.17 x 10-¹² .
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