To determine which equation obeys the law of conservation of mass, we need to ensure that the number of atoms of each element is the same on both sides of the equation. Let's analyze each option:
A.
\( 2C_4H_{10} + 2Cl_2 + 12O_2 \rightarrow 7CO_2 + CCl_4 + 10H_2O \)
-
Reactants:
- C: \(2 \times 4 = 8\)
- H: \(2 \times 10 = 20\)
- Cl: \(2 \times 2 = 4\)
- O: \(12\)
-
Products:
- C: \(7\)
- H: \(10\)
- Cl: \(1\)
- O: \(7 + 4 + 10 = 21\)
Not balanced.
B.
\( C_4H_{10} + Cl_2 + 2O_2 \rightarrow 7CO_2 + CCl_4 + 8H_2O \)
-
Reactants:
- C: \(4\)
- H: \(10\)
- Cl: \(2\)
- O: \(2 \times 2 = 4\)
-
Products:
- C: \(7\)
- H: \(8\)
- Cl: \(1\)
- O: \(7 + 4 + 8 = 19\)
Not balanced.
C.
\( 2C_4H_{10} + 2Cl_2 + 6O_2 \rightarrow 4CO_2 + CCl_4 + H_2O \)
-
Reactants:
- C: \(2 \times 4 = 8\)
- H: \(2 \times 10 = 20\)
- Cl: \(2 \times 2 = 4\)
- O: \(6\)
-
Products:
- C: \(4\)
- H: \(2\)
- Cl: \(1\)
- O: \(4 + 1 = 5\)
Not balanced.
D.
\( 2C_4H_{10} + 2Cl_2 + 6O_2 \rightarrow CO_2 + CCl_4 + 6H_2O \)
-
Reactants:
- C: \(2 \times 4 = 8\)
- H: \(2 \times 10 = 20\)
- Cl: \(2 \times 2 = 4\)
- O: \(6\)
-
Products:
- C: \(1\)
- H: \(12\)
- Cl: \(1\)
- O: \(1 + 4 + 6 = 11\)
Not balanced.
E.
\( 4C_4H_{10} + 4Cl_2 + 14O_2 \rightarrow 14CO_2 + CCl_4 + 20H_2O \)
-
Reactants:
- C: \(4 \times 4 = 16\)
- H: \(4 \times 10 = 40\)
- Cl: \(4 \times 2 = 8\)
- O: \(14\)
-
Products:
- C: \(14\)
- H: \(20\)
- Cl: \(1\)
- O: \(14 + 4 + 20 = 38\)
Not balanced.
After evaluating each equation, none of the provided options obeys the law of conservation of mass.
Therefore, none of the equations is balanced as written. If you need a balanced equation, it's essential to adjust the coefficients so that the number of each type of atom matches on both sides.
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