Question

the sum of atomic number and mass number is equal to 46 the number of neutrons is one more than the protons find the atomic number

Answer 1

Answer:

• The atomic number is 15.

Step-by-step explanation:

Given that:

• The sum of atomic number and mass number is equal to 46.
• The number of neutrons is one more than the protons.

To Find:

• The atomic number.

Let us assume:

• Atomic number = A
• Mass number = Z
• Neutron = N
• Proton = P

We know that:

Mass = Neutron + Proton

• Z = N + P

Atomic number = Proton

• A = P

Sum of atomic number and mass number:

⟶ A + Z = 46 [Z = N + P]

⟶ A + N + P = 46 [P = A]

⟶ A + N + A = 46

⟶ 2A + N = 46

⟶ N = 46 - 2A _____(i)

Number of neutrons is one more than the protons:

⟶ N = P + 1 [P = A]

⟶ N = A + 1

From equation (i).

⟶ 46 - 2A = A + 1

⟶ 46 - 1 = A + 2A

⟶ 45 = 3A

⟶ A = 45/3

⟶ A = 15

Hence,

• The atomic number is 15.

Answer 2

Answer:

Solution :-

Here

A + N + P = 46

Where

A = Atomic Number

N = No. of atom

P = Proton

A + N + A = 46

(A + A) + N = 46

2A + N = 46

N = 46 - 2A

According to the question

N = P + 2

N = A + 1

46 - 2A = A + 1

46 - 1 = A + 2A

45 = A + 2A

45 = 3A

A = 45/3

A = 15

Therefore,

The atomic number of the element is 15

Also the name of element is Phosphorus