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1.5 x 10⁵ white blood cells have a total mass of 105 grams. Work out the average mass of 1 white blood cell. Give your answer in standard form.

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Final answer:

The average mass of one white blood cell is 0.7 x 10⁻⁴ grams.

Step-by-step explanation:

To find the average mass of one white blood cell, we can divide the total mass of all white blood cells by the number of white blood cells. Given that there are 1.5×10⁵ white blood cells with a total mass of 10⁵ grams, we can use the formula:

Average mass per white blood cell = Total mass of white blood cells / Number of white blood cells

Average mass= 105 grams/ 1.5×10⁵ cells

To simplify this fraction, we can express the denominator in scientific notation:

Average mass= 105/1.5 ×10⁵ grams

To divide by a fraction, we can multiply by its reciprocal:

Average mass of one cell = 105 x 1/1.5x10⁵ grams

Now, multiply the numerators and denominators:

Average mass of one cell= 105 /1.5 x 10^-5

Expressing this in standard form:

Average mass=7.0×10^−4 grams

So, the average mass of one white blood cell is 7.0×10−4 grams.

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