Question

Calculate the mass of a proton (in kg) using the charge-to-mass ratio given below and its known charge. (The charge of a proton is 1.602 ✕ 10−19 C and the charge-to-mass ratio of a proton is 9.579 ✕ 107 C/kg. Round your answer to at least four significant figures.)

Answer 1

`1.672* 10^(-27)kg`

Step-by-step explanation:

Given:

Charge-to-mass ration of a proton,
`(q_p)/(m_p)=9.579 * 10^7 C/kg`

charge of a proton,
`q_p=1.602* 10^(-19) C`

mass of the proton can be calculated as follows:

`m_p= (q_p)/(q_p/m_p) = (1.602* 10^(-19)C)/(9.579 * 10^7 C/kg) = 1.672* 10^(-27)kg`

Thus, the mass of a proton is
`1.672* 10^(-27)kg`