For the reaction A(g) + 1/2 B(g) → 2 C(g):

b. When C is increasi...

Question

For the reaction A(g) + 1/2 B(g) → 2 C(g):

b. When C is increasing at a rate of 0.025 M/s, how fast is B decreasing? How fast is A decreasing?

a. Determine the expression for the rate of the reaction in terms of the change in concentration of each of the reactants and products.

Accepted Answer

insert step 1\u003e Start by writing the general rate expression for the reaction: $$ 	ext{Rate} = -\frac{1}{a} \frac{\Delta [A]}{\Delta t} = -\frac{1}{b} \frac{\Delta [B]}{\Delta t} = \frac{1}{c} \frac{\Delta [C]}{\Delta t} $$, where $$ a, b, $$ and $$ c $$ are the stoichiometric coefficients of A, B, and C respectively.. insert step 2\u003e For the given reaction $$ A(g) + \frac{1}{2} B(g) ightarrow 2 C(g) $$, identify the stoichiometric coefficients: $$ a = 1 $$, $$ b = \frac{1}{2} $$, and $$ c = 2 .. $$insert step 3\u003e Substitute the stoichiometric coefficients into the rate expression: $$ 	ext{Rate} = -\frac{1}{1} \frac{\Delta [A]}{\Delta t} = -\frac{1}{\frac{1}{2}} \frac{\Delta [B]}{\Delta t} = \frac{1}{2} \frac{\Delta [C]}{\Delta t} .. $$insert step 4\u003e Given that $$ \frac{\Delta [C]}{\Delta t} = 0.025 	ext{ M/s} $$, use the rate expression $$ \frac{1}{2} \frac{\Delta [C]}{\Delta t} = -\frac{1}{\frac{1}{2}} \frac{\Delta [B]}{\Delta t}  to $$find the rate at which B is decreasing.. insert step 5\u003e Similarly, use the rate expression $$ \frac{1}{2} \frac{\Delta [C]}{\Delta t} = -\frac{1}{1} \frac{\Delta [A]}{\Delta t}  to $$find the rate at which A is decreasing.

For the reaction A(g) + 1/2 B(g) → 2 C(g): b. When C is increasing at a rate of 0.025 M/s, how fast is B decreasing? How fast is A decreasing? a. Determine the expression for the rate of the reaction in terms of the change in concentration of each of the reactants and products.

주요 개념

Stoichiometry

Rate of Reaction

Differential Rate Law