QUESTION IMAGE
Question
f model: single white circle + double gray circle → white circle with two gray circles g model: double white-gray circle + double gray circle → three white circles with two gray circles? wait, original image: f: ◯ + ⚫⚫ → ◯⚫⚫; g: ◯⚫ + ⚫⚫ → ◯◯⚫⚫? wait, better to extract text: f, g, h, j with molecular models (f: single white + double gray → white with two gray; g: double white-gray + double gray → three white? no, original ocr: \f model g model h model j model which of the following models best demonstrates the law of conservation of mass? ∘ f ∘ g ∘ h ∘ j\ (exact text: \which of the following models best demonstrates the law of conservation of mass? \
∘ f \
∘ g \
∘ h \
∘ j\)
Step1: Recall the Law of Conservation of Mass
The Law of Conservation of Mass states that in a chemical reaction, the total number of atoms of each element on the reactant side must equal the total number of atoms of each element on the product side. This means the number of each type of atom (represented by the circles here) should be conserved.
Step2: Analyze Model F
- Reactants: 1 white circle (let's say atom A) and 2 gray circles (atom B, as a diatomic molecule \( B_2 \)). So total atoms: 1 A, 2 B.
- Products: 1 white circle (A) and 2 gray circles (B, in the molecule \( AB_2 \)? Wait, no, the product has 1 white and 2 gray. Wait, no, the product in F is a molecule with 1 white and 2 gray? Wait, no, the diagram for F: reactants are 1 white (A) and 1 \( B_2 \) (2 Bs). Products: 1 A and 2 Bs (in a molecule like \( AB_2 \)? Wait, no, the product has 1 white and 2 gray, so total atoms: 1 A, 2 B. Wait, but reactants: 1 A, 2 B. Wait, maybe I miscounted. Wait, no, let's check again.
Wait, maybe better to count the number of each color (atom type) before and after.
Model F:
- Reactants: 1 white (A) + 1 molecule of 2 gray (B₂) → total A:1, B:2.
- Products: 1 molecule with 1 white (A) and 2 gray (B) → A:1, B:2. Wait, but is that a valid reaction? Wait, maybe not. Wait, let's check Model G.
Model G:
- Reactants: 1 molecule of 2 white (A₂) + 1 molecule of 2 gray (B₂) → A:2, B:2.
- Products: 1 molecule with 2 white (A₂) and 2 gray (B₂)? No, the product in G is a molecule with 2 white and 2 gray? Wait, the diagram for G: reactants are \( A_2 \) (2 white) and \( B_2 \) (2 gray). Products: a molecule with 2 white and 2 gray (so \( A_2B_2 \) or \( 2AB \))? Wait, the product has 2 white and 2 gray, so total A:2, B:2. Which matches the reactants (2 A, 2 B). Wait, no, wait:
Wait, let's list each model:
Model F:
- Reactants: 1 white (A) + 1 \( B_2 \) (2 B) → A:1, B:2.
- Products: 1 A + 2 B (in a molecule) → A:1, B:2. But is the reaction balanced? Wait, but maybe the product is \( AB_2 \), but the reactants are A + \( B_2 \). The equation would be \( A + B_2
ightarrow AB_2 \), which is balanced (1 A, 2 B on both sides). Wait, but let's check Model G.
Model G:
- Reactants: \( A_2 \) (2 A) + \( B_2 \) (2 B) → A:2, B:2.
- Products: A molecule with 2 A and 2 B (so \( A_2B_2 \) or \( 2AB \))? Wait, the product diagram has 2 white (A) and 2 gray (B), so total A:2, B:2. So the reaction is \( A_2 + B_2
ightarrow A_2B_2 \) (or \( 2AB \)), which is balanced (2 A, 2 B on both sides). Wait, but maybe I made a mistake. Wait, let's check Model H.
Model H:
- Reactants: 1 A + 1 \( B_2 \) (2 B) → A:1, B:2.
- Products: 1 \( AB \) (1 A, 1 B) → A:1, B:1. Not balanced (B:2 vs 1). So H is out.
Model J:
- Reactants: 1 \( B_2 \) (2 B) + 1 \( A_2 \) (2 A) → A:2, B:2.
- Products: 1 \( AB_2 \) (1 A, 2 B) → A:1, B:2. Not balanced (A:2 vs 1). So J is out.
Wait, now I'm confused. Wait, maybe the circles represent atoms, so:
Model F:
- Reactants: 1 white atom (A) + 1 molecule of 2 gray atoms (B₂) → total atoms: A=1, B=2.
- Products: 1 molecule with 1 A and 2 B (so \( AB_2 \)) → A=1, B=2. So balanced.
Model G:
- Reactants: 1 molecule of 2 white (A₂) + 1 molecule of 2 gray (B₂) → A=2, B=2.
- Products: 1 molecule with 2 white and 2 gray (so \( A_2B_2 \)) → A=2, B=2. So balanced. Wait, but which is correct?
Wait, the Law of Conservation of Mass requires that the number of each type of atom is conserved. Let's count the number of each color (atom) in reactants and products for each model:
- Model F:
- Reactants: White (A): 1, Gray (B): 2.
- Products: White (A): 1,…
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Step1: Recall the Law of Conservation of Mass
The Law of Conservation of Mass states that in a chemical reaction, the total number of atoms of each element on the reactant side must equal the total number of atoms of each element on the product side. This means the number of each type of atom (represented by the circles here) should be conserved.
Step2: Analyze Model F
- Reactants: 1 white circle (let's say atom A) and 2 gray circles (atom B, as a diatomic molecule \( B_2 \)). So total atoms: 1 A, 2 B.
- Products: 1 white circle (A) and 2 gray circles (B, in the molecule \( AB_2 \)? Wait, no, the product has 1 white and 2 gray. Wait, no, the product in F is a molecule with 1 white and 2 gray? Wait, no, the diagram for F: reactants are 1 white (A) and 1 \( B_2 \) (2 Bs). Products: 1 A and 2 Bs (in a molecule like \( AB_2 \)? Wait, no, the product has 1 white and 2 gray, so total atoms: 1 A, 2 B. Wait, but reactants: 1 A, 2 B. Wait, maybe I miscounted. Wait, no, let's check again.
Wait, maybe better to count the number of each color (atom type) before and after.
Model F:
- Reactants: 1 white (A) + 1 molecule of 2 gray (B₂) → total A:1, B:2.
- Products: 1 molecule with 1 white (A) and 2 gray (B) → A:1, B:2. Wait, but is that a valid reaction? Wait, maybe not. Wait, let's check Model G.
Model G:
- Reactants: 1 molecule of 2 white (A₂) + 1 molecule of 2 gray (B₂) → A:2, B:2.
- Products: 1 molecule with 2 white (A₂) and 2 gray (B₂)? No, the product in G is a molecule with 2 white and 2 gray? Wait, the diagram for G: reactants are \( A_2 \) (2 white) and \( B_2 \) (2 gray). Products: a molecule with 2 white and 2 gray (so \( A_2B_2 \) or \( 2AB \))? Wait, the product has 2 white and 2 gray, so total A:2, B:2. Which matches the reactants (2 A, 2 B). Wait, no, wait:
Wait, let's list each model:
Model F:
- Reactants: 1 white (A) + 1 \( B_2 \) (2 B) → A:1, B:2.
- Products: 1 A + 2 B (in a molecule) → A:1, B:2. But is the reaction balanced? Wait, but maybe the product is \( AB_2 \), but the reactants are A + \( B_2 \). The equation would be \( A + B_2
ightarrow AB_2 \), which is balanced (1 A, 2 B on both sides). Wait, but let's check Model G.
Model G:
- Reactants: \( A_2 \) (2 A) + \( B_2 \) (2 B) → A:2, B:2.
- Products: A molecule with 2 A and 2 B (so \( A_2B_2 \) or \( 2AB \))? Wait, the product diagram has 2 white (A) and 2 gray (B), so total A:2, B:2. So the reaction is \( A_2 + B_2
ightarrow A_2B_2 \) (or \( 2AB \)), which is balanced (2 A, 2 B on both sides). Wait, but maybe I made a mistake. Wait, let's check Model H.
Model H:
- Reactants: 1 A + 1 \( B_2 \) (2 B) → A:1, B:2.
- Products: 1 \( AB \) (1 A, 1 B) → A:1, B:1. Not balanced (B:2 vs 1). So H is out.
Model J:
- Reactants: 1 \( B_2 \) (2 B) + 1 \( A_2 \) (2 A) → A:2, B:2.
- Products: 1 \( AB_2 \) (1 A, 2 B) → A:1, B:2. Not balanced (A:2 vs 1). So J is out.
Wait, now I'm confused. Wait, maybe the circles represent atoms, so:
Model F:
- Reactants: 1 white atom (A) + 1 molecule of 2 gray atoms (B₂) → total atoms: A=1, B=2.
- Products: 1 molecule with 1 A and 2 B (so \( AB_2 \)) → A=1, B=2. So balanced.
Model G:
- Reactants: 1 molecule of 2 white (A₂) + 1 molecule of 2 gray (B₂) → A=2, B=2.
- Products: 1 molecule with 2 white and 2 gray (so \( A_2B_2 \)) → A=2, B=2. So balanced. Wait, but which is correct?
Wait, the Law of Conservation of Mass requires that the number of each type of atom is conserved. Let's count the number of each color (atom) in reactants and products for each model:
- Model F:
- Reactants: White (A): 1, Gray (B): 2.
- Products: White (A): 1, Gray (B): 2. Balanced.
- Model G:
- Reactants: White (A): 2, Gray (B): 2.
- Products: White (A): 2, Gray (B): 2. Balanced.
- Model H:
- Reactants: White (A): 1, Gray (B): 2.
- Products: White (A): 1, Gray (B): 1. Not balanced.
- Model J:
- Reactants: White (A): 2, Gray (B): 2.
- Products: White (A): 1, Gray (B): 2. Not balanced.
Wait, but maybe the models are showing chemical reactions, and the key is that the number of each atom is the same. But maybe I misinterpreted the diagrams. Wait, let's look again:
Model F: Reactants: 1 white (single atom) + 1 gray diatomic (2 gray). Products: 1 molecule with 1 white and 2 gray (so 1 white, 2 gray). So atoms: 1 W, 2 G. Balanced.
Model G: Reactants: 1 white diatomic (2 W) + 1 gray diatomic (2 G). Products: 1 molecule with 2 W and 2 G (so 2 W, 2 G). Balanced.
Wait, but which one is correct? Wait, maybe the question is about the Law of Conservation of Mass, which applies to chemical reactions, so the number of each atom must be conserved. Let's check the number of atoms:
In Model F:
- Reactants: 1 W, 2 G.
- Products: 1 W, 2 G. Balanced.
In Model G:
- Reactants: 2 W, 2 G.
- Products: 2 W, 2 G. Balanced.
Wait, but maybe the diagrams are different. Wait, maybe I made a mistake. Wait, let's count the number of each circle:
Model F:
- Reactants: 1 white circle + 2 gray circles (since the gray is a diatomic molecule, 2 circles).
- Products: 1 white circle + 2 gray circles (in the product molecule). So total circles: 1 + 2 = 3 (reactants), 1 + 2 = 3 (products). So mass is conserved (same number of atoms).
Model G:
- Reactants: 2 white circles (diatomic) + 2 gray circles (diatomic) → total 4 circles.
- Products: 2 white circles + 2 gray circles → total 4 circles. So mass is conserved.
Wait, but the options are F, G, H, J. H has reactants 1 + 2 = 3 circles, products 2 circles (1 white, 1 gray) → 2 circles. Not conserved. J has reactants 2 + 2 = 4 circles, products 3 circles (1 white, 2 gray) → 3 circles. Not conserved.
Now between F and G:
Model F: Reactants: 1 W, 2 G (total 3 atoms). Products: 1 W, 2 G (total 3 atoms). Balanced.
Model G: Reactants: 2 W, 2 G (total 4 atoms). Products: 2 W, 2 G (total 4 atoms). Balanced.
Wait, but maybe the reaction in F is \( A + B_2
ightarrow AB_2 \), which is balanced. In G, \( A_2 + B_2
ightarrow A_2B_2 \), which is also balanced. But maybe the question is about the correct representation. Wait, maybe I misread the diagrams. Let me check again:
Model F: The reactants are a single white circle (A) and a diatomic gray molecule (B₂). The product is a molecule with one white (A) and two gray (B) atoms (so \( AB_2 \)). So the equation is \( A + B_2
ightarrow AB_2 \), which is balanced (1 A, 2 B on both sides).
Model G: Reactants are a diatomic white molecule (A₂) and a diatomic gray molecule (B₂). The product is a molecule with two white (A) and two gray (B) atoms (so \( A_2B_2 \)). The equation is \( A_2 + B_2
ightarrow A_2B_2 \), which is balanced (2 A, 2 B on both sides).
Wait, but both F and G seem balanced? But that can't be. Wait, maybe the product in G is two molecules of \( AB \), but the diagram shows a single molecule with two white and two gray. Wait, no, the diagram for G's product is a single molecule with two white and two gray circles. So that's \( A_2B_2 \).
Wait, maybe the key is that in a chemical reaction, the atoms are rearranged, but the number of each type is conserved. Let's count the number of each atom:
For Model F:
- White atoms: 1 (reactant) → 1 (product).
- Gray atoms: 2 (reactant) → 2 (product). Balanced.
For Model G:
- White atoms: 2 (reactant) → 2 (product).
- Gray atoms: 2 (reactant) → 2 (product). Balanced.
Wait, but the options are F, G, H, J. H and J are unbalanced. Now, maybe the question is about the correct representation. Wait, maybe I made a mistake in Model F. Wait, the reactant in F is 1 white and 1 gray diatomic (2 gray), so total atoms: 1 + 2 = 3. Product: 1 white and 2 gray, total 3. Correct.
Model G: reactants 2 white and 2 gray (total 4), product 2 white and 2 gray (total 4). Correct.
But maybe the intended answer is G? Wait, no, maybe I misread the diagrams. Wait, let's check the original problem again.
Wait, the user's diagram:
F: ◯ + 𝕆𝕆 → ◯𝕆𝕆 (wait, no, the gray circles are two, white is one. So reactants: 1 white, 2 gray. Products: 1 white, 2 gray.
G: 𝕆◯ + 𝕆𝕆 → ◯◯𝕆𝕆 (wait, no, the first reactant is two circles: one white, one gray (so \( A B \))? Wait, no, the first reactant in G is two circles: white and gray (so \( A B \))? Wait, maybe I misinterpreted the diatomic molecules.
Wait, maybe the first reactant in G is a diatomic molecule of white and gray (so \( A B \))? No, the first reactant in G is two circles: white and gray (so \( A B \)), and the second reactant is two gray circles ( \( B_2 \))? No, the diagram for G: first reactant is two circles (white and gray, so \( A B \)), second reactant is two gray circles ( \( B_2 \))? No, that can't be. Wait, maybe the circles are atoms, so:
Model F:
- Reactants: 1 white atom (A) + 1 molecule of 2 gray atoms (B₂) → A:1, B:2.
- Products: 1 molecule with 1 A and 2 B ( \( AB_2 \)) → A:1, B:2. Balanced.
Model G:
- Reactants: 1 molecule of 2 white atoms (A₂) + 1 molecule of 2 gray atoms (B₂) → A:2, B:2.
- Products: 1 molecule with 2 A and 2 B ( \( A_2B_2 \)) → A:2, B:2. Balanced.
Model H:
- Reactants: 1 A + 1 B₂ → A:1, B:2.
- Products: 1 molecule with 1 A and 1 B ( \( AB \)) → A:1, B:1. Not balanced.
Model J:
- Reactants: 1 B₂ + 1 A₂ → A:2, B:2.
- Products: 1 molecule with 1 A and 2 B ( \( AB_2 \)) → A:1, B:2. Not balanced.
So both F and G are balanced? But that's not possible. Wait, maybe the product in G is two molecules of \( AB \), but the diagram shows a single molecule with two white and two gray. Wait, no, the diagram for G's product is a single molecule with two white and two gray circles, so that's \( A_2B_2 \).
Wait, maybe the question is from a textbook where the correct answer is G. Wait, no, maybe I made a mistake. Wait, let's count the number of atoms:
In Model F:
- White: 1 (reactant) → 1 (product).
- Gray: 2 (reactant) → 2 (product). Correct.
In Model G:
- White: 2 (reactant) → 2 (product).
- Gray: 2 (reactant) → 2 (product). Correct.
But the options are F, G, H, J. H and J are out. Now, maybe the intended answer is G. Wait, maybe the first reactant in F is a single atom, and the product is a molecule, but the number of atoms is conserved. Alternatively, maybe the diagram for G is \( A_2 + B_2
ightarrow 2AB \), but the product is drawn as a single molecule with two A and two B, which is equivalent to two AB molecules. So both F and G are balanced, but maybe the question expects G. Wait, no, maybe I misread the diagrams.
Wait, let's look at the original problem again. The user's diagram:
F: ◯ + 𝕆𝕆 → ◯𝕆𝕆 (so 1 white, 2 gray → 1 white, 2 gray)
G: 𝕆◯ + 𝕆𝕆 → ◯◯𝕆𝕆 (so 2 white, 2 gray → 2 white, 2 gray)
H: ◯ + 𝕆𝕆 → ◯𝕆 (1 white, 2 gray → 1 white, 1 gray)
J: 𝕆𝕆 + ◯◯ → ◯𝕆𝕆 (2 gray, 2 white → 1 white, 2 gray)
Ah! Wait, in Model J, the reactants are 2 gray (B₂) and 2 white (A₂), so A:2, B:2. Products: 1 white (A) and 2 gray (B), so A:1, B:2. Not balanced.
In Model G, reactants are 1 white and 1 gray (AB) and 1 B₂? No, wait, the first reactant in G is two circles: white and gray (so AB), and the second reactant is two gray (B₂). So reactants: A:1, B:1 + 2 = 3. Products: 2 white and 2 gray (A:2, B:2). Not balanced. Wait, I think I made a mistake earlier.
Wait, let's re-express each model with atoms:
- Model F:
- Reactants: 1 W (atom) + 1 molecule of 2 G (G₂) → W:1, G:2.
- Products: 1 molecule with 1 W and 2 G (WG₂) → W:1, G:2. Balanced.
- Model G:
- Reactants: 1 molecule of 1 W and 1 G (WG) + 1 molecule of 2 G (G₂) → W:1, G:1 + 2 = 3.
- Products: 1 molecule with 2 W and 2 G (W₂G₂) → W:2, G:2. Not balanced (W:1 vs 2, G: