(JUNE 2015) 42. In the accompanying figure, reaction kinetics of three proteins (a, b, c) is presented. Protein concentrations used to obtain this data are a - 1 mg/ml; b- 4 mg/ml; c - 2 mg/ml. If catalytic efficiency is defined as Kcat/Km, which of the following statements is correct? (1) b > c > a (2) a > b > c (3) a > c > b (4) c > a > b

The correct answer is (2) a > b > c.


Introduction

Catalytic efficiency (kcat/Km) is a key measure in enzyme kinetics, representing how rapidly and effectively an enzyme converts substrate to product. It incorporates both substrate affinity and turnover rate, making it crucial for comparing enzymes or variants. This article explains how to analyze the catalytic efficiency of three proteins based on normalized activity data, guiding students and researchers through the logic and mathematics of enzyme kinetic comparisons.


Concept: Normalizing Enzyme Activity

When enzyme concentrations differ, comparing raw activities alone is misleading. Normalized activity (activity per mg protein) reveals true catalytic efficiency independent of enzyme quantity:

Catalytic Efficiency=kcatKmMeasured Activity÷Enzyme Concentration


Data from Plot

  • Protein a: Activity curve with 1 mg/ml protein

  • Protein b: Activity curve with 4 mg/ml protein

  • Protein c: Activity curve with 2 mg/ml protein

From the plot:

  • b has highest raw activity, but with 4-fold more protein.

  • a has intermediate activity, with least protein.

  • c has lowest curve, with intermediate protein.


Stepwise Calculation of Relative Efficiency

1. Calculate “normalized” activity

Assume final plateau values for activity (visual estimation from graph):

  • Aa∼15 units at 1 mg/ml

  • Ab∼28 units at 4 mg/ml

  • Ac∼10 units at 2 mg/ml

Divide plateau activity by protein concentration:

  • a: 15/1=15 units/mg

  • b: 28/4=7 units/mg

  • c: 10/2=5 units/mg

2. Compare efficiencies

Ranking by normalized activity (proxy for kcat/Km):

  • a (15 units/mg) > b (7 units/mg) > c (5 units/mg)

Thus, a > b > c.


Importance of Catalytic Efficiency kcat/Km

  • High efficiency means rapid substrate conversion even at low concentrations.

  • Used in enzyme selection for industrial, diagnostic, and pharmacological applications.


Summary Table

Protein Activity (units) Protein (mg/ml) Activity/mg Relative Efficiency
a 15 1 15 Highest
b 28 4 7 Medium
c 10 2 5 Lowest

Conclusion

Based on normalized activity (activity per mg protein), protein a has the highest catalytic efficiency, followed by protein b, and then protein c. Thus, the correct statement is a > b > c.

36 Comments
  • Varsha Tatla
    September 13, 2025

    Done sir

  • Varsha Tatla
    September 13, 2025

    A>b>c

  • Khushi Vaishnav
    September 13, 2025

    a>b>c

  • Aakansha sharma Sharma
    September 13, 2025

    The correct answer is (2) a > b > c.

  • Mohd juber Ali
    September 14, 2025

    A >B>c
    A 20/1=20
    B 30/4 = 7.5
    C 10/2 =5

  • Rishita
    September 14, 2025

    Option 2

  • Aafreen Khan
    September 14, 2025

    Option 2nd is correct
    a > b > c

  • Dharmpal Swami
    September 14, 2025

    Protein a has the high catalytic activity
    So- a>b>C are correct

  • Soniya Shekhawat
    September 14, 2025

    Specific activity=no. Of enzyme units (unit of catalystic activity)/ protein in mg/ml so a>b>c is correct option.

  • Kanica Sunwalka
    September 14, 2025

    option 2 is correct

  • Roopal Sharma
    September 14, 2025

    Protein a has high catalytic activity.

  • Santosh Saini
    September 14, 2025

    A=20, B=30, C=10, Kcat/km so A=20/1=20, B=30/4=7.5,C=10/2=5 20unit/Mg > 7.5unit/Mg > 5unit/Mg protein A has the highest catalytic efficiency followed by B and then C , thus A >B>C

  • Santosh Saini
    September 14, 2025

    A=20, B=30, C=10, Kcat/km so A=20/1=20, B=30/4=7.5,C=10/2=5 , 20unit/Mg > 7.5unit/Mg > 5unit/Mg , protein A has the highest catalytic efficiency followed by B and then C , thus A >B>C

  • Santosh Saini
    September 14, 2025

    A=20, B=30, C=10, Kcat/km so A=20/1=20, B=30/4=7.5,C=10/2=5 , 20unit/Mg > 7.5unit/Mg > 5unit/Mg , protein A has the highest catalytic efficiency followed by B and then C , thus A >B>C

  • Kirti Agarwal
    September 14, 2025

    Opt 2

  • Neha Yadav
    September 14, 2025

    A>B>C

  • Sakshi Kanwar
    September 14, 2025

    According to estimate value of graphcatalytic value a = 15 , b= 28 , c= 10
    So we get a = 15/1 = 15
    b= 28/4 = 7
    C= 10/2 = 5
    a>b>c

  • Vanshika Sharma
    September 14, 2025

    Opt B

  • Konika Naval
    September 14, 2025

    a>b>c

  • Sakshi yadav
    September 14, 2025

    A=15/1=15,B=28/4=7, C=10/2=5 a>b>c

  • HIMANI FAUJDAR
    September 14, 2025

    Ans protein a has the highest catalytic efficiency, followed by protein b, and then protein c.
    a=15/1=15
    b=28/4=7
    c=10/2=5
    So,a>b>c is correct answer.

  • Priya dhakad
    September 14, 2025

    a=15/1=15
    b=28/4=7
    c=10/2=5
    protein a has the highest catalytic efficiency, followed by protein b, and then protein c.

  • Anurag Giri
    September 15, 2025

    The correct answer is (2) a > b > c.

  • Asha Gurzzar
    September 15, 2025

    Correct answer is 2option

  • Nilofar Khan
    September 15, 2025

    Correct answer is b
    a= 15/1= 15
    b= 30/4= 7.5
    C=10/2= 5
    So a> b>c

  • Payal Gaur
    September 15, 2025

    A>B>C
    A. 15/1=15
    B. 30/4=7.5
    C. 10/2=5

  • Tanvi Panwar
    September 15, 2025

    Normalised activity = Measured activity/enzyme concentration.
    a = 20/1= 20
    b= 30/4= 7.5
    c= 10/2= 5
    so, a>b>c.

  • Palak Sharma
    September 16, 2025

    from graph, we can estimate specific activity= enzyme activity/ protein conc
    a>b>c

  • Avni
    September 16, 2025

    protein a has the highest catalytic efficiency
    a > b > c.

  • Mansukh Kapoor
    September 16, 2025

    The correct answer is option 2nd

  • Priti khandal
    September 17, 2025

    2is right

  • Muskan Yadav
    September 18, 2025

    Protein A has the highest catalytic efficiency, followed by protein B, and then protein C. Thus, the correct statement is a > b > c.

  • Deepika sheoran
    September 18, 2025

    Option A
    A>B>C

  • anjani sharma
    September 19, 2025

    Answer 2
    Protein A has the highest catalytic efficiency followed by B and then C , so answer would be A >B>C

  • Minal Sethi
    September 19, 2025

    a>b>c
    option 2

  • Anjali Kushwaha
    September 24, 2025

    A>B>C

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