AP EAMCET201923 Apr 2019Morning ShiftChemistryChemical KineticsActual
The rate equation for the reaction (2 A+B ) products is rate (=k[A][B]^2 ). If (k ) at (T( ~K ) ) is (5.0 10⁻⁶ ~mol ⁻² ~L ^2 ~s ⁻¹ ), the initial rate of the reaction, when ([A]=0.05 ~mol ~L ⁻¹ ) and ([B]=0.1 ~mol ~L ⁻¹ ) is
Options
- A(1.25 10⁻⁹ ~L ~mol ~L ⁻¹ ~s ⁻¹ )
- B(1.25 10⁻⁹ ~mol ~L ⁻¹ ~s ⁻¹ )
- C(2.50 10⁻⁹ ~mol ~L ⁻¹ ~s ⁻¹ )
- D(2.50 10⁻⁹ ~L ~mol ~L ⁻¹ ~s ⁻¹ )
Correct answer
C. (2.50 10⁻⁹ ~mol ~L ⁻¹ ~s ⁻¹ )
Step-by-step solution
For the reaction, (2 A+B ) Products ( Rate =k[A][B]^2 ) Given, Rate constant, (k ) of reaction (=5.0 10⁻⁶ ~mol ⁻² ~L ^2 ~s ⁻¹ ) ( aligned [A]=0.05 ~mol ~L ⁻¹ [B]=0.1 ~mol ~L ⁻¹ aligned ) ( aligned Rate of reaction & =5.0 10⁻⁶[0.05][0.1]^2 & =5 10⁻⁶ 5 10⁻⁴ & =2.5 10⁻⁹ ~mol ~L ⁻¹ ~s ⁻¹ aligned )