The atomic number of chromium is `24` .A chromium atom contain `17%` more neutron than the proton. The element atom can be represented by the symbol

Options

A. `._(24)Cr^(52)`
B. `._(24)Cr^(32)`
C. `._(32)Cr^(24)`
D. `._(50)Cr^(24)`

Answer

To solve the problem, we need to determine the mass number (A) of chromium given that it has an atomic number (Z) of 24 and contains 17% more neutrons than protons.

### Step-by-Step Solution:

1. **Identify the Atomic Number (Z)**:
- The atomic number of chromium (Cr) is given as \( Z = 24 \).
- This means that the number of protons \( p \) in a chromium atom is \( p = Z = 24 \).

2. **Determine the Relationship Between Neutrons and Protons**:
- The problem states that the number of neutrons \( n \) is 17% more than the number of protons.
- This can be expressed mathematically as:
\[ n = p + 0.17p = 1.17p \]

3. **Substituting the Number of Protons**:
- We know \( p = 24 \), so we can substitute this value into the equation for neutrons:
\[ n = 1.17 \times 24 \]
- Calculating this gives:
\[ n = 28.08 \]
- Since the number of neutrons must be a whole number, we round this to \( n = 28 \).

4. **Calculate the Mass Number (A)**:
- The mass number \( A \) is the sum of the number of protons and neutrons:
\[ A = p + n = 24 + 28 = 52 \]

5. **Represent the Element**:
- The element can be represented in the form:
\[ \text{Element} = \text{Symbol}_{A}^{Z} \]
- For chromium, this will be:
\[ \text{Cr}_{52}^{24} \]

### Final Answer:
The element can be represented by the symbol \( \text{Cr}^{52}_{24} \).

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