Question

The nucleus of an atom is found to have a total mass of nearly 20.088× 10-27kg and a total
charge of 9.612× 10-19coulombs. Calculate the atomic number and mass number of th atom
Name the element.​

Answer 1

Explanation:

Total Mass of nucleus = 20.088 × 10-²⁷ kg

Total Charge of nucleus = 9.612 × 10-¹⁹ C

• Let the atom contains Np numbers of protons and Nn numbers of neutrons

Mass of neutron = 1.67 × 10-²⁷ kg

Mass of proton = 1.67 × 10-²⁷ kg

Charge of proton = 1.6 × 10-¹⁹ C

Mass of neutrons + Mass of protons = Mass of nucleus

Nn × 1.67 × 10-²⁷ + Np × 1.67 × 10-²⁷ = 20.088 × 10-²⁷ kg

Nn + Np (1.67 × 10-²⁷) = 20.088 × 10-²⁷

$Nn + Np = \frac{20.088 \times {10}^{ - 27} }{1.67 \times {10}^{ - 27} }$

$Nn + Np = \: 12$

Np × charge of protons = charge of nucleus

Np× 1.6 × 10-¹⁹ = 9.612 × 10-¹⁹

$Np = \frac{9.612 \times {10}^{ - 19} }{1.6 \times {10}^{ - 19} }$

$Np \: = 6$

$Nn + Np = \: 12$

$Nn = \: 12 - Np$

$Nn = 6$

Element is Carbon