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Question

Question: A certain reaction A + B \(\longrightarrow\)C, the first order with respect to each reactant k = 10...

A certain reaction A + B \longrightarrowC, the first order with respect to each reactant k = 10–3. Determine the final concentration of A after 100 s, if the initial concentration of A was 0.1 M and that of B was 0.2 M.

A

0.098 M

B

0.088 M

C

0.078 M

D

0.068 M

Answer

0.098 M

Explanation

Solution

A+B  C A + B \ \overset{\quad\quad}{\rightarrow}\ C $$\text{t = 0} \text{a = 0.1 M} \text{b = 0.2 M} 0 t = 100sa - xb - xx\text{t = 100s} \text{a - x} \text{b - x} xFrom question , r = k[A][B] and hence

or

}{\therefore \ \lbrack A\rbrack\text{ = 0.1 - x = 0.098 M }}$$