In a chemical reaction, the reaction rate R is a function of the concentration x of the product of the reaction. For a certain second-order reaction between two substances, we have the formula R = 0.01x2 − x + 18. Here x is measured in moles per cubic meter and R is measured in moles per cubic meter per second. (a) Make a graph of R versus x. Include concentrations up to 100 moles per cubic meter.         (b) Use functional notation to express the reaction rate when the concentration is 20 moles per cubic meter. R        Calculate that value.  moles/m3 per sec (c) The reaction is said to be in equilibrium when the reaction rate is 0. At what two concentrations is the reaction in equilibrium? (Round your answers to two decimal places.)  moles/m3 (smaller value)  moles/m3 (larger value)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Rational Functions And Conics
Section4.2: Graphs Of Rational Functions
Problem 88E
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In a chemical reaction, the reaction rate R is a function of the concentration x of the product of the reaction. For a certain second-order reaction between two substances, we have the formula

R = 0.01x2 − x + 18.

Here x is measured in moles per cubic meter and R is measured in moles per cubic meter per second.

(a) Make a graph of R versus x. Include concentrations up to 100 moles per cubic meter.
   
   

(b) Use functional notation to express the reaction rate when the concentration is 20 moles per cubic meter.
R
 
   
 


Calculate that value.
 moles/m3 per sec

(c) The reaction is said to be in equilibrium when the reaction rate is 0. At what two concentrations is the reaction in equilibrium? (Round your answers to two decimal places.)
 moles/m3 (smaller value)
 moles/m3 (larger value)
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