AP EAMCET201920 Apr 2019Evening ShiftChemistryChemical KineticsActual
The reaction X products is a first order reaction. In 40 minutes, the concentration of X changes from 1.0 M to 0.25 M . What is the initial rate of reaction when [X]=0.1 M ? ( 4=0.60)
Options
- A1.73 10⁻³ ~mol ~L ⁻¹ ~min ⁻¹
- B3.47 10⁻⁴ ~mol ~L ⁻¹ ~min ⁻¹
- C1.73 10⁻⁴ ~mol ~L ⁻¹ ~min ⁻¹
- D3.45 10⁻³ ~mol ~L ⁻¹ ~min ⁻¹
Correct answer
D. 3.45 10⁻³ ~mol ~L ⁻¹ ~min ⁻¹
Step-by-step solution
Given, (concentration) a=1.0 M , a-x=0.25 M , t=40 minutes For a first order reaction, aligned k & = 2.303 t a a-x & = 2.303 40 1 0.25 = 2.303 40 4 & = 2.303 2 0.3010 40 & =0.03466 ~min ⁻¹ aligned Now, Initial rate aligned & =k[A] & =0.03466(0.1) & =0.003466 ~mol / L / min & =3.466 10⁻³ ~mol / L / min & =3.47 10⁻³ ~mol / L / min aligned According to options given, any option cannot match with answer. But (d) can be the correct answer.