Answer to Question #186094 in Physics for Shripad patil

Question

The decomposition of glucose in aqueous acid solution was found to follow first 

order. The initial concentration was found to be 0.056 M. The concentration after 

a period of 12 hours was 4.10x10-2 mol/L. 

a. Calculate reaction rate constant.

b. Calculate the quantity of glucose remaining undecomposed after 8 hours.

c. Estimate the amount of glucose lost during the period of 24 hours.

Answer 1

a)

$$0.041=0.056e^{-12k}\\k=0.026\ h^{-1}$$

b)

$$x=0.056e^{-0.026(8)}=0.0455\frac{mol}{L}$$

c)

$$x=0.056(1-e^{-0.026(24)})=0.026\frac{mol}{L}$$