The Conversion of Sucrose (Table Sugar) to Glucose and Fructose

question 63

Multiple Choice

The conversion of sucrose (table sugar) to glucose and fructose is first order in the concentration of sucrose, which means that the rate of reaction is proportional to the concentration of the sucrose. The rate of disappearance of sucrose can be expressed as , where c represents the concentration of the sucrose, and k is called the rate constant and is mathematically identical to the negative of the decay constant. If the rate constant is 0.20 hour^-1, how long will it take for the sucrose concentration to diminish to 1/20 of its initial concentration?

• A) 14.98 hours
• B) 0.080 hours
• C) 100.00 hours
• D) 32.19 hours

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Definitions:

Greatest Common Monomial Factor

The highest monomial that exactly divides each term of a given polynomial without leaving a remainder.

Polynomial

An algebraic expression consisting of variables and coefficients, combined only by addition, subtraction, multiplication, and non-negative integer exponents.

Greatest Common Factor

The highest number that divides exactly into two or more numbers without leaving a remainder.

Missing Factor

A value that, when multiplied with others, gives a specified result; often used in solving algebraic equations.