Volume of a single microbial cell is 10-3 um3. The number of cells present in its 5ml of culture will be_______________ 1015cells. (Answer should be an integer)Correct answer is '5'. Can you explain this answer?

Question

Answer

Volume of a single microbial cell:
The volume of a single microbial cell is given as 10-3 um3.

Volume of 5ml culture:
To find the number of cells present in 5ml of culture, we need to convert the volume from ml to um3.

1 ml = 10^9 um3 (since 1 ml = 10^3 mm3 and 1 mm3 = 10^6 um3)

Therefore, 5 ml = 5 × 10^9 um3.

Calculating the number of cells:
To calculate the number of cells, we need to divide the volume of the culture by the volume of a single cell.

Number of cells = Volume of culture / Volume of a single cell

Number of cells = (5 × 10^9 um3) / (10-3 um3)

Number of cells = 5 × 10^9 / 10-3

Using the rule of exponentiation (a^-b = 1/a^b):

Number of cells = 5 × 10^9 × 10^3

Number of cells = 5 × 10^12

Answer:
The number of cells present in 5ml of culture is 5 × 10^12, which can be simplified as 5 trillion cells.

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