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An atom of an element has 26 electrons a...

An atom of an element has 26 electrons and has a mass number 56. The nucleus of this atom contains neutrons.

A

26

B

36

C

30

D

56

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to determine the number of neutrons in an atom that has 26 electrons and a mass number of 56. Here’s the step-by-step solution: ### Step 1: Understand the given information We know that: - The atom has 26 electrons. - The mass number (A) is 56. ### Step 2: Determine the number of protons In a neutral atom, the number of electrons is equal to the number of protons. Therefore, if there are 26 electrons, there are also 26 protons. - Number of protons (P) = 26 ### Step 3: Use the mass number formula The mass number (A) is the sum of the number of protons (P) and the number of neutrons (N) in the nucleus. The formula is: \[ A = P + N \] ### Step 4: Rearrange the formula to find the number of neutrons We can rearrange the formula to solve for the number of neutrons (N): \[ N = A - P \] ### Step 5: Substitute the known values Now we can substitute the known values into the equation: - Mass number (A) = 56 - Number of protons (P) = 26 So, \[ N = 56 - 26 \] ### Step 6: Calculate the number of neutrons Now, perform the calculation: \[ N = 30 \] ### Conclusion The number of neutrons in the nucleus of this atom is **30**. ---
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