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olga nikolaevna [1]
3 years ago
8

HELP!! SYNTHESIS QUIZ!!

Chemistry
1 answer:
Juliette [100K]3 years ago
6 0
Ok it’s 38 so I hope that helps ok
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A student is examining a bacterium under the microscope. The E. coli bacterial cell has a mass of m = 1.80 fg (where a femtogram
egoroff_w [7]

Answer:

Δx ≥  1.22 *10^-10m

Explanation:

<u>Step 1:</u> Data given

The E. coli bacterial cell has a mass of 1.80 fg ( = 1.80 * 10^-15 grams = 1.80 * 10^-18 kg)

Velocity of v = 8.00 μm/s (= 8.00 * 10^-6 m/s)

Uncertainty in the velocity = 3.00 %

E. coli bacterial cells are around 1 μm = 10^−6 m in length

<u>Step 2:</u> Calculate uncertainty in velocity

Δv = 0.03 * 8*10^-6 m/s =2.4 * 10^-7 m/s

<u>Step 3:</u> Calculate the uncertainty of the position of the bacterium

According to Heisenberg uncertainty principle,

Δx *Δp ≥ h/4π

Δx *mΔv ≥ h/4π

with Δx = TO BE DETERMINED

with m = 1.8 *10^-18 kg

with Δv = 2.4*10^-7

with h = constant of planck = 6.626 *10^-34

Δx ≥  6.626*10^-34 / (4π*(1.8*10^-18)(2.4*10^-7))

Δx ≥  1.22 *10^-10m

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