Question

What is the total electric charge of 2.5 kg of (a) electrons and (b) protons?

Answer 1

a

`Q_e  =  -4.39 *10^(11)  \  C`

b

`Q_p  =  + 2.395*10^(-8) \  C`

Step-by-step explanation:

Generally the number of electron in the given mass is mathematically evaluated as

`N_e =  (2.5)/(m_e )`

Here m_e is the mass of electron with value
`m_e =  9.11 * 10^(-31) \  kg`

=>
`N_e =  (2.5)/( 9.11 * 10^(-31) )`

=>
`N_e =2.74 *10^(30) \  electrons`

The total electric charge is mathematically represented as

`Q_e  =  N_e  *  e`

Here e is the charge on a single electron with value
`e  =  1.60 *10^(-19)  \  C`

So

`Q_e  =  -2.74 *10^(30)   *  1.60 *10^(-19)`

`Q_e  =  -4.39 *10^(11)  \  C`

The negative sign is because we are considering electron

Generally the number of protons in the given mass is mathematically evaluated as

`N_p =  (2.5)/(m_p )`

Here m_p is the mass of electron with value
`m_e =  1.67 * 10^(-27) \  kg`

=>
`N_p =  (2.5)/( 1.67 * 10^(-27) )`

=>
`N_p =1.497 *10^(27) \  protons`

The total electric charge is mathematically represented as

`Q_p  = + N_p  *  e`

Here p is the charge on a single proton with value
`p  =  1.60 *10^(-19)  \  C`

So

`Q_p  =  +1.497 *10^(27)   *  1.60 *10^(-19)`

`Q_p  =  + 2.395*10^(-8) \  C`