There are 6.022 × 10²³ atoms in 39.948 g of argon and 4.0026 g of helium.
Explanation:
39.945 g/mole is the molar mass of argon so 39.948 g of argon are equal to 1 mole of argon.
4.0026 g/mole is the molar mass of helium so 4.0026 g of helium are equal to 1 mole of helium.
We know that Avogadro's number tell us the number of particles in 1 mole of substance which is 6.022 × 10²³.
So in 39.948 g of argon and 4.0026 g of helium contains the same number of atoms, 6.022 × 10²³.
Learn more about:
Avogadro's number
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Answer: 69.72 kg of cryolite will be produced.
Explanation:
The balanced chemical equation is:
![Al_2O_3(s)+6NaOH(l)+12HF(g)\rightarrow 2Na_3AlF_6+9H_2O](https://tex.z-dn.net/?f=Al_2O_3%28s%29%2B6NaOH%28l%29%2B12HF%28g%29%5Crightarrow%202Na_3AlF_6%2B9H_2O)
To calculate the moles, we use the equation:
![\text{Number of moles}=\frac{\text{Given mass}}{\text {Molar mass}}](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20moles%7D%3D%5Cfrac%7B%5Ctext%7BGiven%20mass%7D%7D%7B%5Ctext%20%7BMolar%20mass%7D%7D)
moles of
= ![\frac{16.9\times 1000g}{102g/mol}=165.7moles](https://tex.z-dn.net/?f=%5Cfrac%7B16.9%5Ctimes%201000g%7D%7B102g%2Fmol%7D%3D165.7moles)
moles of
= ![\frac{57.4\times 1000g}{40g/mol}=1435moles](https://tex.z-dn.net/?f=%5Cfrac%7B57.4%5Ctimes%201000g%7D%7B40g%2Fmol%7D%3D1435moles)
moles of
= ![\frac{57.4\times 1000g}{20g/mol}=2870moles](https://tex.z-dn.net/?f=%5Cfrac%7B57.4%5Ctimes%201000g%7D%7B20g%2Fmol%7D%3D2870moles)
As 1 mole of
reacts with 6 moles of ![NaOH](https://tex.z-dn.net/?f=NaOH)
166 moles of
reacts with =
moles of ![NaOH](https://tex.z-dn.net/?f=NaOH)
As 1 mole of
reacts with 12 moles of ![HF](https://tex.z-dn.net/?f=HF)
166 moles of
reacts with =
moles of ![HF](https://tex.z-dn.net/?f=HF)
Thus
is the limiting reagent.
As 1 mole of
produces = 2 moles of cryolite
166 moles of
reacts with =
moles of cryolite
Mass of cryolite
= ![moles\times {\text {molar mass}}=332mol\times 210g/mol=69720g=69.72kg](https://tex.z-dn.net/?f=moles%5Ctimes%20%7B%5Ctext%20%7Bmolar%20mass%7D%7D%3D332mol%5Ctimes%20210g%2Fmol%3D69720g%3D69.72kg)
Thus 69.72 kg of cryolite will be produced.
The answer is D, medical diagnosis
Answer:
A. Soil erosion will increase.
The answer for the following problem is mentioned below.
- <u><em>Therefore the final moles of the gas is 14.2 × </em></u>
<u><em> moles.</em></u>
Explanation:
Given:
Initial volume (
) = 230 ml
Final volume (
) = 860 ml
Initial moles (
) = 3.8 ×
moles
To find:
Final moles (
)
We know;
According to the ideal gas equation;
P × V = n × R × T
where;
P represents the pressure of the gas
V represents the volume of the gas
n represents the no of the moles of the gas
R represents the universal gas constant
T represents the temperature of the gas
So;
V ∝ n
= ![\frac{n_{1} }{n_{2} }](https://tex.z-dn.net/?f=%5Cfrac%7Bn_%7B1%7D%20%7D%7Bn_%7B2%7D%20%7D)
where,
(
) represents the initial volume of the gas
(
) represents the final volume of the gas
(
) represents the initial moles of the gas
(
) represents the final moles of the gas
Substituting the above values;
= ![\frac{3.8 * 10^-4}{n_{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B3.8%20%2A%2010%5E-4%7D%7Bn_%7B2%7D%20%7D)
= 14.2 ×
moles
<u><em>Therefore the final moles of the gas is 14.2 × </em></u>
<u><em> moles.</em></u>