Growth Rate Constant of Bacteria Solution

STEP 0: Pre-Calculation Summary
Formula Used
Growth Rate Constant = log2(No. of Bacteria at time t/Initial No. of Bacteria)/Time for bacteria
k = log2(Nt/N0)/T
This formula uses 1 Functions, 4 Variables
Functions Used
log2 - The binary logarithm (or log base 2) is the power to which the number 2 must be raised to obtain the value n., log2(Number)
Variables Used
Growth Rate Constant - (Measured in 1 Per Second) - The growth rate constant (k) is the number of generations per unit of time.
No. of Bacteria at time t - The No. of Bacteria at time t is growth of the bacteria through time (t).
Initial No. of Bacteria - The Initial No. of Bacteria is the amount of bacteria at the start of the culture.
Time for bacteria - (Measured in Second) - Time for bacteria is the time span for the development of bacteria.
STEP 1: Convert Input(s) to Base Unit
No. of Bacteria at time t: 100 --> No Conversion Required
Initial No. of Bacteria: 50 --> No Conversion Required
Time for bacteria: 10.5 Second --> 10.5 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
k = log2(Nt/N0)/T --> log2(100/50)/10.5
Evaluating ... ...
k = 0.0952380952380952
STEP 3: Convert Result to Output's Unit
0.0952380952380952 1 Per Second --> No Conversion Required
FINAL ANSWER
0.0952380952380952 0.095238 1 Per Second <-- Growth Rate Constant
(Calculation completed in 00.004 seconds)

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National University of Judicial Science (NUJS), Kolkata
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8 Bacteriology Calculators

Growth Rate Constant of Bacteria
Go Growth Rate Constant = log2(No. of Bacteria at time t/Initial No. of Bacteria)/Time for bacteria
No. of Bacteria at Time T
Go No. of Bacteria at time t = (2^(Growth Rate Constant*Time for bacteria))*Initial No. of Bacteria
Volume of Culture Plate of Bacteria
Go Volume of Culture Plate = (No. of Colonies*Dilution Factor)/Colony Forming Unit per ml
Colony Forming Unit of Bacteria
Go Colony Forming Unit per ml = (No. of Colonies*Dilution Factor)/Volume of Culture Plate
Dilution Factor of Bacteria
Go Dilution Factor = (Colony Forming Unit per ml*Volume of Culture Plate)/No. of Colonies
No. of Colonies of Bacteria
Go No. of Colonies = (Colony Forming Unit per ml*Volume of Culture Plate)/Dilution Factor
No. of Generation using Generation Time for Bacteria
Go No. of Generation = Time for bacteria/Generation time
Growth Rate of Bacteria
Go Generation time = Time for bacteria/No. of Generation

Growth Rate Constant of Bacteria Formula

Growth Rate Constant = log2(No. of Bacteria at time t/Initial No. of Bacteria)/Time for bacteria
k = log2(Nt/N0)/T

What is Bacterial Growth?

Bacterial growth is proliferation of bacterium into two daughter cells, in a process called binary fission. Providing no event occurs, the resulting daughter cells are genetically identical to the original cell. Hence, bacterial growth occurs. Both daughter cells from the division do not necessarily survive.

How to Calculate Growth Rate Constant of Bacteria?

Growth Rate Constant of Bacteria calculator uses Growth Rate Constant = log2(No. of Bacteria at time t/Initial No. of Bacteria)/Time for bacteria to calculate the Growth Rate Constant, The Growth rate constant of bacteria formula is defined as the rate of exponential growth of the bacteria in a culture. Growth Rate Constant is denoted by k symbol.

How to calculate Growth Rate Constant of Bacteria using this online calculator? To use this online calculator for Growth Rate Constant of Bacteria, enter No. of Bacteria at time t (Nt), Initial No. of Bacteria (N0) & Time for bacteria (T) and hit the calculate button. Here is how the Growth Rate Constant of Bacteria calculation can be explained with given input values -> 0.095238 = log2(100/50)/10.5.

FAQ

What is Growth Rate Constant of Bacteria?
The Growth rate constant of bacteria formula is defined as the rate of exponential growth of the bacteria in a culture and is represented as k = log2(Nt/N0)/T or Growth Rate Constant = log2(No. of Bacteria at time t/Initial No. of Bacteria)/Time for bacteria. The No. of Bacteria at time t is growth of the bacteria through time (t), The Initial No. of Bacteria is the amount of bacteria at the start of the culture & Time for bacteria is the time span for the development of bacteria.
How to calculate Growth Rate Constant of Bacteria?
The Growth rate constant of bacteria formula is defined as the rate of exponential growth of the bacteria in a culture is calculated using Growth Rate Constant = log2(No. of Bacteria at time t/Initial No. of Bacteria)/Time for bacteria. To calculate Growth Rate Constant of Bacteria, you need No. of Bacteria at time t (Nt), Initial No. of Bacteria (N0) & Time for bacteria (T). With our tool, you need to enter the respective value for No. of Bacteria at time t, Initial No. of Bacteria & Time for bacteria and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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