IDNLearn.com: Where your questions are met with thoughtful and precise answers. Receive prompt and accurate responses to your questions from our community of knowledgeable professionals ready to assist you at any time.
Sagot :
To answer the question, let's analyze the given information step-by-step:
1. Identify Compounds and Their Masses:
- [tex]\(A = 12\)[/tex] grams (mass of carbon)
- [tex]\(B = 44\)[/tex] grams (mass of carbon dioxide)
- [tex]\(C = 32\)[/tex] grams (mass of oxygen)
2. Identify What Needs to be Verified:
We are asked to support a statement that indicates the combustion of coal follows the law of conservation of mass. The law of conservation of mass states that in a chemical reaction, the total mass of the reactants equals the total mass of the products.
3. List and Analyze Each Statement:
- Statement 1: The total mass of [tex]\(A\)[/tex] and [tex]\(C\)[/tex], which are carbon dioxide and oxygen, is equal to the mass of [tex]\(B\)[/tex], which is carbon.
- This statement incorrectly describes the masses associated with [tex]\(A\)[/tex] and [tex]\(C\)[/tex]. Therefore, it cannot be correct.
- Statement 2: The total mass of [tex]\(A\)[/tex] and [tex]\(C\)[/tex], which are carbon and oxygen, is equal to the mass of [tex]\(B\)[/tex], which is carbon dioxide.
- This means comparing the sum of the masses of carbon and oxygen ([tex]\(A\)[/tex] and [tex]\(C\)[/tex]) to the mass of carbon dioxide ([tex]\(B\)[/tex]):
[tex]\[\text{Total mass of } A + C = 12 \, \text{grams} + 32 \, \text{grams} = 44 \, \text{grams}\][/tex]
[tex]\[\text{Mass of } B = 44 \, \text{grams}\][/tex]
Since these masses are equal, this statement supports the law of conservation of mass.
- Statement 3: The total mass of [tex]\(B\)[/tex] and [tex]\(C\)[/tex], which are carbon and oxygen, is greater than the mass of [tex]\(A\)[/tex], which is carbon dioxide.
- Let’s calculate:
[tex]\[\text{Total mass of } B + C = 44 \, \text{grams} + 32 \, \text{grams} = 76 \, \text{grams}\][/tex]
[tex]\[\text{Mass of } A = 12 \, \text{grams}\][/tex]
This statement does not support the law of conservation of mass as it claims a situation that is not equal.
- Statement 4: The total mass of [tex]\(A\)[/tex] and [tex]\(B\)[/tex], which are carbon and oxygen, is greater than the mass of [tex]\(C\)[/tex], which is carbon dioxide.
- Let’s calculate:
[tex]\[\text{Total mass of } A + B = 12 \, \text{grams} + 44 \, \text{grams} = 56 \, \text{grams}\][/tex]
[tex]\[\text{Mass of } C = 32 \, \text{grams}\][/tex]
This statement too does not support the law of conservation of mass as it compares unrelated quantities.
4. Conclusion:
Based on the analysis, Statement 2 correctly supports the conclusion that the combustion of coal follows the law of conservation of mass as it verifies that the total mass of carbon and oxygen used up ( [tex]\(A + C\)[/tex] ) equals the mass of carbon dioxide formed ( [tex]\(B\)[/tex] ). Thus, the correct statement is:
The total mass of [tex]\(A\)[/tex] and [tex]\(C\)[/tex], which are carbon and oxygen, is equal to the mass of [tex]\(B\)[/tex], which is carbon dioxide.
1. Identify Compounds and Their Masses:
- [tex]\(A = 12\)[/tex] grams (mass of carbon)
- [tex]\(B = 44\)[/tex] grams (mass of carbon dioxide)
- [tex]\(C = 32\)[/tex] grams (mass of oxygen)
2. Identify What Needs to be Verified:
We are asked to support a statement that indicates the combustion of coal follows the law of conservation of mass. The law of conservation of mass states that in a chemical reaction, the total mass of the reactants equals the total mass of the products.
3. List and Analyze Each Statement:
- Statement 1: The total mass of [tex]\(A\)[/tex] and [tex]\(C\)[/tex], which are carbon dioxide and oxygen, is equal to the mass of [tex]\(B\)[/tex], which is carbon.
- This statement incorrectly describes the masses associated with [tex]\(A\)[/tex] and [tex]\(C\)[/tex]. Therefore, it cannot be correct.
- Statement 2: The total mass of [tex]\(A\)[/tex] and [tex]\(C\)[/tex], which are carbon and oxygen, is equal to the mass of [tex]\(B\)[/tex], which is carbon dioxide.
- This means comparing the sum of the masses of carbon and oxygen ([tex]\(A\)[/tex] and [tex]\(C\)[/tex]) to the mass of carbon dioxide ([tex]\(B\)[/tex]):
[tex]\[\text{Total mass of } A + C = 12 \, \text{grams} + 32 \, \text{grams} = 44 \, \text{grams}\][/tex]
[tex]\[\text{Mass of } B = 44 \, \text{grams}\][/tex]
Since these masses are equal, this statement supports the law of conservation of mass.
- Statement 3: The total mass of [tex]\(B\)[/tex] and [tex]\(C\)[/tex], which are carbon and oxygen, is greater than the mass of [tex]\(A\)[/tex], which is carbon dioxide.
- Let’s calculate:
[tex]\[\text{Total mass of } B + C = 44 \, \text{grams} + 32 \, \text{grams} = 76 \, \text{grams}\][/tex]
[tex]\[\text{Mass of } A = 12 \, \text{grams}\][/tex]
This statement does not support the law of conservation of mass as it claims a situation that is not equal.
- Statement 4: The total mass of [tex]\(A\)[/tex] and [tex]\(B\)[/tex], which are carbon and oxygen, is greater than the mass of [tex]\(C\)[/tex], which is carbon dioxide.
- Let’s calculate:
[tex]\[\text{Total mass of } A + B = 12 \, \text{grams} + 44 \, \text{grams} = 56 \, \text{grams}\][/tex]
[tex]\[\text{Mass of } C = 32 \, \text{grams}\][/tex]
This statement too does not support the law of conservation of mass as it compares unrelated quantities.
4. Conclusion:
Based on the analysis, Statement 2 correctly supports the conclusion that the combustion of coal follows the law of conservation of mass as it verifies that the total mass of carbon and oxygen used up ( [tex]\(A + C\)[/tex] ) equals the mass of carbon dioxide formed ( [tex]\(B\)[/tex] ). Thus, the correct statement is:
The total mass of [tex]\(A\)[/tex] and [tex]\(C\)[/tex], which are carbon and oxygen, is equal to the mass of [tex]\(B\)[/tex], which is carbon dioxide.
Thank you for participating in our discussion. We value every contribution. Keep sharing knowledge and helping others find the answers they need. Let's create a dynamic and informative learning environment together. Your questions deserve accurate answers. Thank you for visiting IDNLearn.com, and see you again for more solutions.
