All categories

4 months ago

A crystallographer measures the horizontal spacing between molecules in a crystal. The spacing is

Chemistry

2 answers:

Tems11 [2.7K]4 months ago

7 0

1.65 mm

Further explanation

Given:

A crystallographer observes horizontal spacing among molecules in a crystal, measuring 16.5 nm.

Question:

What is the entire width of a crystal in millimeters accounting for 10⁵ molecules?

The Process:

A conversion of units is necessary here, focusing on length. We will convert nanometers to millimeters this time.

Recall that,

$\boxed{ \ 1 \ nm = 10^{-9} \ m \ }$

$\boxed{ \ 1 \ mm = 10^{-3} \ m \ }$

Crystallographers have identified 10⁵ molecules across with the inter-molecular gap in the crystal at 16.5 nm.

$\boxed{ \ 10^5 \ molecules \times \frac{16.5 \ nm}{molecules} \times \frac{10^{-9} \ m}{1 \ nm} \times \frac{1 \ mm}{10^{-3} \ m} =? \ }$

We cancel out matching units.

$\boxed{ \ = 10^5 \times 16.5 \times 10^{-9} \times \frac{1 \ mm}{10^{-3}} \ }$

$\boxed{ \ = 16.5 \times 10^{5 - 9 + 3} \ mm \ }$

$\boxed{ \ = 16.5 \times 10^{-1} \ mm \ }$

$\boxed{ \ = \frac{165}{10} \times \frac{1}{10} \ mm \ }$

$\boxed{ \ = \frac{165}{100} \ mm \ } \rightarrow \boxed{\boxed{ \ 1.65 \ mm \ }}$

Consequently, the overall width of a crystal in millimeters is 1.65 mm.

Learn more

What is the speed in km/hr and mi/min (miles/minute)?
How many milliliters of coffee were in each cup?
Convert the hippopotamus's weight to kilograms

Keywords: crystallographer, measures, the horizontal spacing, between, molecules, in a crystal, 16.5 nm, the total width, a crystal, in millimeters, nanometers, 10^5 molecules across, write, your answer, as a decimal, conversion, the unit of length, 1.65

castortr0y [3K]4 months ago

7 0

Answer: The overall width of a crystal measures 1.65 mm.

Explanation:

Horizontal distance separating the two molecules is 16.5 nm.

Width of the $10^5$ molecules: $16.5 nm\times 10^5=16.5\times 10^5 nm$

$1 nm=10^{-6} mm$

The overall width of a crystal measured in millimeters= $16.5\times 10^5\times 10^{-6} mm=1.65 mm$

The overall width of a crystal is 1.65 mm.

You might be interested in

Two different atoms have six protons each and the same mass. However, one has a negative charge while the other has a positive c

castortr0y [3046]

The equal mass indicates that both atoms have the same number of protons and neutrons.

A positive charge signifies a difference in electron count.

Assuming the atomic number is A,

the mass number equals M.

In a neutral atom, there are A electrons.

A negatively charged atom would have A + 1 electrons [while the count of protons and mass number remains unchanged].

A positively charged atom contains A - 1 electrons [with consistent protons and mass number].

For instance: Cl- and Cl+.

8 0

3 months ago

Read 2 more answers

A chemist uses 0.25 L of 2.00 M H2SO4 to completely neutralize a 2.00 L of solution of NaOH. The balanced chemical equation of t

Tems11 [2777]

2NaOH + H₂SO₄ = Na₂SO₄ + 2H₂O

v(H₂SO₄)=0.25 L
c(H₂SO₄)=2.00 mol/L
v(NaOH)=2.00 L

n(H₂SO₄)=c(H₂SO₄)v(H₂SO₄)
n(NaOH)=2n(H₂SO₄)=2c(H₂SO₄)v(H₂SO₄)

c(NaOH)=n(NaOH)/v(NaOH)=2c(H₂SO₄)v(H₂SO₄)/v(NaOH)

c(NaOH)=2*2.00*0.25/2.00=0.5 mol/L

the concentration of the NaOH solution is 0.5 mol/L

5 0

3 months ago

Read 2 more answers

Barbiturates, including "truth serums" seen in movies like Meet the Fockers and sedatives that may have led to the untimely deat

Alekssandra [3086]

Answer:

Explanation:

Diethyl malonate possesses greater acidity compared to monocarbonyl substances (pKa=13) because its alpha hydrogens are linked to two carbonyl groups. Consequently, the malonic ester can be readily changed into its enolate ion by reacting it with sodium ethoxide in ethanol. When the malonic ester undergoes alkylation, a hydrogen atom in the alpha position becomes acidic, permitting another round of alkylation to yield a dialkylated malonic ester.

In this scenario, when diethyl malonate interacts with urea in the presence of sodium ethoxide base, the second alkylation step occurs within the molecule, producing a cyclic compound known as barbituric acid.