Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
Sagot :
To determine which nuclear equation is balanced, we need to check if both the mass number (top number) and the atomic number (bottom number) are the same on both sides of the equation.
Let's review each option step-by-step:
1. [tex]\({ }_{11}^{23} Na \longrightarrow{ }_{12}^{24} Mg +{ }_1^1 H\)[/tex]
- Reactant: Sodium (Na) with mass number 23 and atomic number 11.
- Products: Magnesium (Mg) with mass number 24 and atomic number 12, and Hydrogen (H) with mass number 1 and atomic number 1.
Checking mass numbers:
- Reactant side: [tex]\(23\)[/tex]
- Product side: [tex]\(24 + 1 = 25\)[/tex]
The mass numbers do not match.
Checking atomic numbers:
- Reactant side: [tex]\(11\)[/tex]
- Product side: [tex]\(12 + 1 = 13\)[/tex]
The atomic numbers do not match.
This equation is not balanced.
2. [tex]\({ }_{11}^{24} Na \longrightarrow{ }_{12}^{24} Mg +{ }_{-1}^{0} e\)[/tex]
- Reactant: Sodium (Na) with mass number 24 and atomic number 11.
- Products: Magnesium (Mg) with mass number 24 and atomic number 12, and an electron (e) with mass number 0 and atomic number -1.
Checking mass numbers:
- Reactant side: [tex]\(24\)[/tex]
- Product side: [tex]\(24 + 0 = 24\)[/tex]
The mass numbers match.
Checking atomic numbers:
- Reactant side: [tex]\(11\)[/tex]
- Product side: [tex]\(12 + (-1) = 11\)[/tex]
The atomic numbers match.
This equation is balanced.
3. [tex]\({ }_{13}^{24} Al \longrightarrow{ }_{12}^{24} Mg +{ }_{-1}^{0} e\)[/tex]
- Reactant: Aluminum (Al) with mass number 24 and atomic number 13.
- Products: Magnesium (Mg) with mass number 24 and atomic number 12, and an electron (e) with mass number 0 and atomic number -1.
Checking mass numbers:
- Reactant side: [tex]\(24\)[/tex]
- Product side: [tex]\(24 + 0 = 24\)[/tex]
The mass numbers match.
Checking atomic numbers:
- Reactant side: [tex]\(13\)[/tex]
- Product side: [tex]\(12 + (-1) = 11\)[/tex]
The atomic numbers do not match.
This equation is not balanced.
4. [tex]\({ }_{12}^{23} Mg \longrightarrow{ }_{12}^{24} Mg +{ }_{0}^{1} n\)[/tex]
- Reactant: Magnesium (Mg) with mass number 23 and atomic number 12.
- Products: Magnesium (Mg) with mass number 24 and atomic number 12, and a neutron (n) with mass number 1 and atomic number 0.
Checking mass numbers:
- Reactant side: [tex]\(23\)[/tex]
- Product side: [tex]\(24 + 1 = 25\)[/tex]
The mass numbers do not match.
Checking atomic numbers:
- Reactant side: [tex]\(12\)[/tex]
- Product side: [tex]\(12 + 0 = 12\)[/tex]
The atomic numbers match.
This equation is not balanced.
From the above analysis, the balanced nuclear equation is:
[tex]\({ }_{11}^{24} Na \longrightarrow{ }_{12}^{24} Mg +{ }_{-1}^{0} e\)[/tex]
Let's review each option step-by-step:
1. [tex]\({ }_{11}^{23} Na \longrightarrow{ }_{12}^{24} Mg +{ }_1^1 H\)[/tex]
- Reactant: Sodium (Na) with mass number 23 and atomic number 11.
- Products: Magnesium (Mg) with mass number 24 and atomic number 12, and Hydrogen (H) with mass number 1 and atomic number 1.
Checking mass numbers:
- Reactant side: [tex]\(23\)[/tex]
- Product side: [tex]\(24 + 1 = 25\)[/tex]
The mass numbers do not match.
Checking atomic numbers:
- Reactant side: [tex]\(11\)[/tex]
- Product side: [tex]\(12 + 1 = 13\)[/tex]
The atomic numbers do not match.
This equation is not balanced.
2. [tex]\({ }_{11}^{24} Na \longrightarrow{ }_{12}^{24} Mg +{ }_{-1}^{0} e\)[/tex]
- Reactant: Sodium (Na) with mass number 24 and atomic number 11.
- Products: Magnesium (Mg) with mass number 24 and atomic number 12, and an electron (e) with mass number 0 and atomic number -1.
Checking mass numbers:
- Reactant side: [tex]\(24\)[/tex]
- Product side: [tex]\(24 + 0 = 24\)[/tex]
The mass numbers match.
Checking atomic numbers:
- Reactant side: [tex]\(11\)[/tex]
- Product side: [tex]\(12 + (-1) = 11\)[/tex]
The atomic numbers match.
This equation is balanced.
3. [tex]\({ }_{13}^{24} Al \longrightarrow{ }_{12}^{24} Mg +{ }_{-1}^{0} e\)[/tex]
- Reactant: Aluminum (Al) with mass number 24 and atomic number 13.
- Products: Magnesium (Mg) with mass number 24 and atomic number 12, and an electron (e) with mass number 0 and atomic number -1.
Checking mass numbers:
- Reactant side: [tex]\(24\)[/tex]
- Product side: [tex]\(24 + 0 = 24\)[/tex]
The mass numbers match.
Checking atomic numbers:
- Reactant side: [tex]\(13\)[/tex]
- Product side: [tex]\(12 + (-1) = 11\)[/tex]
The atomic numbers do not match.
This equation is not balanced.
4. [tex]\({ }_{12}^{23} Mg \longrightarrow{ }_{12}^{24} Mg +{ }_{0}^{1} n\)[/tex]
- Reactant: Magnesium (Mg) with mass number 23 and atomic number 12.
- Products: Magnesium (Mg) with mass number 24 and atomic number 12, and a neutron (n) with mass number 1 and atomic number 0.
Checking mass numbers:
- Reactant side: [tex]\(23\)[/tex]
- Product side: [tex]\(24 + 1 = 25\)[/tex]
The mass numbers do not match.
Checking atomic numbers:
- Reactant side: [tex]\(12\)[/tex]
- Product side: [tex]\(12 + 0 = 12\)[/tex]
The atomic numbers match.
This equation is not balanced.
From the above analysis, the balanced nuclear equation is:
[tex]\({ }_{11}^{24} Na \longrightarrow{ }_{12}^{24} Mg +{ }_{-1}^{0} e\)[/tex]
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.
