Question

based on the mole ratios of the substances in a chemical reaction shown, which is the correct equation for the chemical reaction?
substances mole ratio
a:b 3:2
a:c 3:1
b:c 2:1
a+b → c
a+2b → 3c
6a+6b → 2c
3a+2b → c

Explanation:

Step1: Analyze A:B ratio (3:2)

The mole ratio of A to B is 3:2, so in the reaction, the coefficients of A and B should be 3 and 2 (or multiples).

Step2: Analyze A:C ratio (3:1)

Mole ratio of A to C is 3:1, so coefficient of A (3) and C (1) (or multiples).

Step3: Analyze B:C ratio (2:1)

Mole ratio of B to C is 2:1, so coefficient of B (2) and C (1) (or multiples).

Step4: Check each option

• Option 1: \( A + B

ightarrow C \) → Ratios A:B=1:1, A:C=1:1, B:C=1:1 → Incorrect.

• Option 2: \( A + 2B

ightarrow 3C \) → A:B=1:2 (not 3:2), A:C=1:3 (not 3:1), B:C=2:3 (not 2:1) → Incorrect.

• Option 3: \( 6A + 6B

ightarrow 2C \) → A:B=1:1, A:C=3:1, B:C=3:1 → Incorrect.

• Option 4: \( 3A + 2B

ightarrow C \) → A:B=3:2 (matches), A:C=3:1 (matches), B:C=2:1 (matches) → Correct.

Answer:

D. \( 3A + 2B
ightarrow C \) (Note: Assuming the last option is D as per the order, with the equation \( 3A + 2B
ightarrow C \))