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)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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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