A `1 cmxx1 cm` square paper coated with a suitable adsorbant on both sides. The paper is dipped in a aqueous solution of glucose of volume `20 mL` and concentration `20 ppm`. Final concentration glucose was dropped to `19 ppm` due to adsorption. Find the number of glucose particles per area of the paper.
A `1 cmxx1 cm` square paper coated with a suitable adsorbant on both sides. The paper is dipped in a aqueous solution of glucose of volume `20 mL` and concentration `20 ppm`. Final concentration glucose was dropped to `19 ppm` due to adsorption. Find the number of glucose particles per area of the paper.
Text Solution
Verified by Experts
The correct Answer is:
`3.33 xx 10^(16) cm^(-2)`
Mass of glucose adsorbed `= (20 - 19) xx (20)/(10^(6)) = 2 xx 10^(-5) g.`
Moles of glucose adsorbed `= (2 xx 10^(-5))/(180) = (10^(-6))/(9).`
Number of glucose molecules `= (10^(-6))/(9) xx 6 xx 10^(23) = (20)/(3) xx 10^(16)`
Number of glucose molecules per unit area `= (1)/(2) xx (20)/(3) xx 10^(16) = 3.33 xx 10^(16) cm^(-2).`
Moles of glucose adsorbed `= (2 xx 10^(-5))/(180) = (10^(-6))/(9).`
Number of glucose molecules `= (10^(-6))/(9) xx 6 xx 10^(23) = (20)/(3) xx 10^(16)`
Number of glucose molecules per unit area `= (1)/(2) xx (20)/(3) xx 10^(16) = 3.33 xx 10^(16) cm^(-2).`
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Knowledge Check
Study the given data and answer the questions that follow. A sample of an enzyme called lactase was isolated from the intestinal lining of a calf. Assays were undertaken to evaluate the activity of the enzyme sample. The substrate of lactase is the disaccharide lactose. Lactase breaks a lactose molecule in two, producing a glucose molecule and a galactose molecule. Two assays were carried out. {:("Lactose concentration (% w/v)",15,15,15,15,15,15),("Concentration of enzyme smaple (%v/v)",0,5,10,15,20,25),("Reaction rate "mu"mole glucose "sec^(-1)mL^(-1),0,25,50,75,100,125):} {:("Lactose concentration (% w/v)",0,5,10,15,25,30),("Concentration of enzyme smaple (%v/v)",5,5,5,5,5,5),("Reaction rate "mu"mole glucose "sec^(-1)mL^(-1),0,15,25,35,40,40):} Which of the following statements can be concluded from the two assays ?
Study the given data and answer the questions that follow. A sample of an enzyme called lactase was isolated from the intestinal lining of a calf. Assays were undertaken to evaluate the activity of the enzyme sample. The substrate of lactase is the disaccharide lactose. Lactase breaks a lactose molecule in two, producing a glucose molecule and a galactose molecule. Two assays were carried out. {:("Lactose concentration (% w/v)",15,15,15,15,15,15),("Concentration of enzyme smaple (%v/v)",0,5,10,15,20,25),("Reaction rate "mu"mole glucose "sec^(-1)mL^(-1),0,25,50,75,100,125):} {:("Lactose concentration (% w/v)",0,5,10,15,25,30),("Concentration of enzyme smaple (%v/v)",5,5,5,5,5,5),("Reaction rate "mu"mole glucose "sec^(-1)mL^(-1),0,15,25,35,40,40):} Which of the following statements can be concluded from the two assays ?
A
The reaction rate of the lactase assay is always proportional to the amount of enzyme present.
B
The amount of lactose in an assay has no effect on the rate of the reaction.
C
The reaction rate of the lactase assay is proportional to the amount of lactose present.
D
The reaction rate is proportional to the amount of enzyme present at a lactose concentration of 15%w/v.
Study the given data and answer the questions that follow. A sample of an enzyme called lactase was isolated from the intestinal lining of a calf. Assays were undertaken to evaluate the activity of the enzyme sample. The substrate of lactase is the disaccharide lactose. Lactase breaks a lactose molecule in two, producing a glucose molecule and a galactose molecule. Two assays were carried out. {:("Lactose concentration (% w/v)",15,15,15,15,15,15),("Concentration of enzyme smaple (%v/v)",0,5,10,15,20,25),("Reaction rate "mu"mole glucose "sec^(-1)mL^(-1),0,25,50,75,100,125):} {:("Lactose concentration (% w/v)",0,5,10,15,25,30),("Concentration of enzyme smaple (%v/v)",5,5,5,5,5,5),("Reaction rate "mu"mole glucose "sec^(-1)mL^(-1),0,15,25,35,40,40):} Which of the following assays would you expect to have the highest reaction rate ?
Study the given data and answer the questions that follow. A sample of an enzyme called lactase was isolated from the intestinal lining of a calf. Assays were undertaken to evaluate the activity of the enzyme sample. The substrate of lactase is the disaccharide lactose. Lactase breaks a lactose molecule in two, producing a glucose molecule and a galactose molecule. Two assays were carried out. {:("Lactose concentration (% w/v)",15,15,15,15,15,15),("Concentration of enzyme smaple (%v/v)",0,5,10,15,20,25),("Reaction rate "mu"mole glucose "sec^(-1)mL^(-1),0,25,50,75,100,125):} {:("Lactose concentration (% w/v)",0,5,10,15,25,30),("Concentration of enzyme smaple (%v/v)",5,5,5,5,5,5),("Reaction rate "mu"mole glucose "sec^(-1)mL^(-1),0,15,25,35,40,40):} Which of the following assays would you expect to have the highest reaction rate ?
A
`{:("Lactose concentration (%w/v)","Concentration of enzyme sample (%v/v)"2),(" "15, " "5):}`
B
`{:("Lactose concentration (%w/v)","Concentration of enzyme sample (%v/v)"2),(" "30, " "5):}`
C
`{:("Lactose concentration (%w/v)","Concentration of enzyme sample (%v/v)"2),(" "15, " "25):}`
D
`{:("Lactose concentration (%w/v)","Concentration of enzyme sample (%v/v)"2),(" "30, " "25):}`
Study the given data and answer the questions that follow. A sample of an enzyme called lactase was isolated from the intestinal lining of a calf. Assays were undertaken to evaluate the activity of the enzyme sample. The substrate of lactase is the disaccharide lactose. Lactase breaks a lactose molecule in two, producing a glucose molecule and a galactose molecule. Two assays were carried out. {:("Lactose concentration (% w/v)",15,15,15,15,15,15),("Concentration of enzyme smaple (%v/v)",0,5,10,15,20,25),("Reaction rate "mu"mole glucose "sec^(-1)mL^(-1),0,25,50,75,100,125):} {:("Lactose concentration (% w/v)",0,5,10,15,25,30),("Concentration of enzyme smaple (%v/v)",5,5,5,5,5,5),("Reaction rate "mu"mole glucose "sec^(-1)mL^(-1),0,15,25,35,40,40):} What are the variables in each of the two assays ?
Study the given data and answer the questions that follow. A sample of an enzyme called lactase was isolated from the intestinal lining of a calf. Assays were undertaken to evaluate the activity of the enzyme sample. The substrate of lactase is the disaccharide lactose. Lactase breaks a lactose molecule in two, producing a glucose molecule and a galactose molecule. Two assays were carried out. {:("Lactose concentration (% w/v)",15,15,15,15,15,15),("Concentration of enzyme smaple (%v/v)",0,5,10,15,20,25),("Reaction rate "mu"mole glucose "sec^(-1)mL^(-1),0,25,50,75,100,125):} {:("Lactose concentration (% w/v)",0,5,10,15,25,30),("Concentration of enzyme smaple (%v/v)",5,5,5,5,5,5),("Reaction rate "mu"mole glucose "sec^(-1)mL^(-1),0,15,25,35,40,40):} What are the variables in each of the two assays ?
A
`{:(" ""Assay"1," ""Assay"2),("Lactose concentration", "Conentration of enzyme sample"):}
B
`{:(" ""Assay"1," ""Assay"2),("Concentration of enzyme sample", "Lactose concentration"):}`
C
`{:(" ""Assay"1," ""Assay"2),("Lactose concentration", "Lactose concentration"):}`
D
`{:(" ""Assay"1," ""Assay"2),("Conentration of enzyme sample", "Conentration of enzyme sample"):}`
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