22.07.2020

How many grams are there in 3 mol NaNO3

. 4

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Physics
Step-by-step answer
P Answered by Master

Explanation:

Given:

Area, A = 5 × 10^-6 m^2

Current, I = 30 A

U = (m × σ × V)/ρ × e × f × l)

= I/(n × A × Q)

Where,

u is again the drift velocity of the electrons, in m⋅s−1

m is the molecular mass of the metal, in kg

σ is the electric conductivity of the medium at the temperature considered, in S/m.

ΔV is the voltage applied across the conductor, in V

ρ is the density (mass per unit volume) of the conductor, in kg⋅m−3

e is the elementary charge, in C

f is the number of free electrons per atom

ℓ is the length of the conductor, in m

A.

Molar mass of iron = 56 g/mol

Converting g to kg,

56 g/mol × 1 kg/1000 g

= 0.056 kg/mol

= approx. 0.056 kilograms in 1 mole of iron.

B.

Density, ρ = 7874 kg/m^3

Molar density = density, ρ/molar mass

= 7874/0.056

= 1.406 × 10^5 mol/m^3

C.

Avogadros constant, Na = 6.022 × 10^23 atoms/mol

Density of iron atoms = avogadros constant × molar density

= 6.022 × 10^23 × 1.406 × 10^5

= 8.478 × 10^28 atoms/m^3

D.

Fe --> Fe2+ + 2e-

density of conduction electrons = 2 conduction electrons/1 atom of iron

= 2 × 8.478 × 10^28

= 1.69 × 10^29 conduction electrons/m^3

E.

Q = 1.602 × 10^-19 C

Using the equation above,

V = 30/(1.69 × 10^29 × 1.602 × 10^-19 × 5 × 10^-6)

= 2.216 × 10^-4 m/s.

Physics
Step-by-step answer
P Answered by Master

Explanation:

Given:

Area, A = 5 × 10^-6 m^2

Current, I = 30 A

U = (m × σ × V)/ρ × e × f × l)

= I/(n × A × Q)

Where,

u is again the drift velocity of the electrons, in m⋅s−1

m is the molecular mass of the metal, in kg

σ is the electric conductivity of the medium at the temperature considered, in S/m.

ΔV is the voltage applied across the conductor, in V

ρ is the density (mass per unit volume) of the conductor, in kg⋅m−3

e is the elementary charge, in C

f is the number of free electrons per atom

ℓ is the length of the conductor, in m

A.

Molar mass of iron = 56 g/mol

Converting g to kg,

56 g/mol × 1 kg/1000 g

= 0.056 kg/mol

= approx. 0.056 kilograms in 1 mole of iron.

B.

Density, ρ = 7874 kg/m^3

Molar density = density, ρ/molar mass

= 7874/0.056

= 1.406 × 10^5 mol/m^3

C.

Avogadros constant, Na = 6.022 × 10^23 atoms/mol

Density of iron atoms = avogadros constant × molar density

= 6.022 × 10^23 × 1.406 × 10^5

= 8.478 × 10^28 atoms/m^3

D.

Fe --> Fe2+ + 2e-

density of conduction electrons = 2 conduction electrons/1 atom of iron

= 2 × 8.478 × 10^28

= 1.69 × 10^29 conduction electrons/m^3

E.

Q = 1.602 × 10^-19 C

Using the equation above,

V = 30/(1.69 × 10^29 × 1.602 × 10^-19 × 5 × 10^-6)

= 2.216 × 10^-4 m/s.

Chemistry
Step-by-step answer
P Answered by Master

I cannot give you all the answer but I can help you to solve those.

Explanation:

The first question:

How many grams are there in 7.5×10^{23} molecules of H_{2} SO_{4}?

So we need to find the molecular mass first, use your periodic table,

And then we can find out 2+32+16×4=98 g/mol

Then, we need to find how many moles, by using Avogadro's constant:

Avogadro's constant: 1 mole = 6.02×10^{23}

\frac{7.5*10^{23} }{6.02*10^{23}}=1.25 mol(2d.p.)

Lastly, find the grams using the formula M= \frac{m}{n}

m=Mn

m=1.25*98

m=122.5g

-------------------------------------------------------------------------------------------------------------

In conclusion, use those formula to help you:

M= \frac{m}{n} (which M = molecular mass(atomic mass) m=mass of the substance and n = moles)

Avogadro's constant: \frac {molecular mass} {6.02*10^{23}} = moles

Chemistry
Step-by-step answer
P Answered by Specialist

I cannot give you all the answer but I can help you to solve those.

Explanation:

The first question:

How many grams are there in 7.5×10^{23} molecules of H_{2} SO_{4}?

So we need to find the molecular mass first, use your periodic table,

And then we can find out 2+32+16×4=98 g/mol

Then, we need to find how many moles, by using Avogadro's constant:

Avogadro's constant: 1 mole = 6.02×10^{23}

\frac{7.5*10^{23} }{6.02*10^{23}}=1.25 mol(2d.p.)

Lastly, find the grams using the formula M= \frac{m}{n}

m=Mn

m=1.25*98

m=122.5g

-------------------------------------------------------------------------------------------------------------

In conclusion, use those formula to help you:

M= \frac{m}{n} (which M = molecular mass(atomic mass) m=mass of the substance and n = moles)

Avogadro's constant: \frac {molecular mass} {6.02*10^{23}} = moles

Chemistry
Step-by-step answer
P Answered by PhD
For the whole set of problems, always remember the Avogadro’s number is 6.023*10^23 units per mole of a substance. Units could be atoms, molecules or formula units.  
The first question asks for the number of molecules of NaNO3. The molar mass of NaNO3 is 85 grams per mole. So,
150g NaNO3(1mole NaNO3/85 grams NaNO3)(6.023*10^23 molecules/1mole NaNO3)=1.063*10^24 molecules of NaNO3  

5.7*10^46 molecules of NaNO3(1mole NaNO3/6.023*10^23 molecules)(85 grams NaNO3/1mole NaNO3) = 8.044*10^24 grams NaNO3  

For the molar mass of water, we have 18.02grams per mole.
301 moles H2O(18.02 grams H2O/1 mole H2O) = 5424.02 grams H2O  

For the molar mass of sulfuric acid, we have 98.08 grams per mole.  
25g H2SO4(I mole H2SO4/98.08g H2SO4) = 0.2549 mole H2SO4  

For the molar mass of Ca(OH)2, we have 74.1 grams per mole.
252gCa(OH)2(1mol/74.1g)(6.023*10^23/1mol) = 2.048*10^24 molecules of Ca(OH)2  

For the molar mass of calcium, we have 40 grams of Ca per mole.
6.7*10^35 atoms Ca(1 mole Ca/6.023*10^23 atoms)(40g Ca/1mol Ca) = 4.45*10^13 grams Ca
Chemistry
Step-by-step answer
P Answered by PhD
For the whole set of problems, always remember the Avogadro’s number is 6.023*10^23 units per mole of a substance. Units could be atoms, molecules or formula units.  
The first question asks for the number of molecules of NaNO3. The molar mass of NaNO3 is 85 grams per mole. So,
150g NaNO3(1mole NaNO3/85 grams NaNO3)(6.023*10^23 molecules/1mole NaNO3)=1.063*10^24 molecules of NaNO3  

5.7*10^46 molecules of NaNO3(1mole NaNO3/6.023*10^23 molecules)(85 grams NaNO3/1mole NaNO3) = 8.044*10^24 grams NaNO3  

For the molar mass of water, we have 18.02grams per mole.
301 moles H2O(18.02 grams H2O/1 mole H2O) = 5424.02 grams H2O  

For the molar mass of sulfuric acid, we have 98.08 grams per mole.  
25g H2SO4(I mole H2SO4/98.08g H2SO4) = 0.2549 mole H2SO4  

For the molar mass of Ca(OH)2, we have 74.1 grams per mole.
252gCa(OH)2(1mol/74.1g)(6.023*10^23/1mol) = 2.048*10^24 molecules of Ca(OH)2  

For the molar mass of calcium, we have 40 grams of Ca per mole.
6.7*10^35 atoms Ca(1 mole Ca/6.023*10^23 atoms)(40g Ca/1mol Ca) = 4.45*10^13 grams Ca
Chemistry
Step-by-step answer
P Answered by Specialist

In 7,4.10^{23} molecules of AgNO_3 are 209 g

In 7,5.10^{23} molecules of H_2SO_4 are 123 g

In 9,4.10^{25} molecules of H_2 are 312 g

Explanation:

First remember that 1 mole of any element has 6.02 10^{23} molecules (this number is a constant).

we know that the molecular mass of an element relates the grams of that substance in 1 mol

To calculate how many grams of AgNO_3 are in 7,4.10^{23} molecules we use a rule of three

6,02.10^{23} molecules \longrightarrow 1mol AgNO_3\\7,4.10^{23} molecules\longrightarrow x\\x=\frac{7.,4.10^{23}molecules.1mol AgNO_3 }{6,02.10^{23}molecules}\\x=1.23 mol AgNO_3

The molecular mass of AgNO_3 is 169.87 g/mol

1 mol \longrightarrow 169.87 g\\1.23 mol\longrightarrow x\\x=\frac{1.23 mol. 169.87g}{1 mol} \\x= 209 g AgNO_3

In 7,4.10^{23} molecules of AgNO_3 are 209 g

To calculate how many grams of H_2SO_4 are in 7,5.10^{23} molecules we repeat the previous procedure

6,02.10^{23} molecules \longrightarrow 1mol H_2SO_4\\7,5.10^{23} molecules\longrightarrow x\\x=\frac{7.,5.10^{23}molecules.1mol AgNO_3 }{6,02.10^{23} molecules}\\x=1.25 mol H_2SO_4

The molecular mass of H_2SO_4 is 98.079 g/mol

1 mol \longrightarrow 98.079g\\1.25 mol\longrightarrow x\\x=\frac{1.25mol. 98.079g}{1 mol}\\x= 123 g AgNO_3

In 7,5.10^{23} molecules of H_2SO_4 are 123 g

To calculate how many grams of H_2 are in 9,4.10^{25} molecules we repeat the previous procedure

6,02.10^{23} molecules \longrightarrow 1mol H_2\\9,4.10^{25} molecules\longrightarrow x\\x=\frac{9,4.10^{25}molecules.1mol H_2}{6,02.10^{23} molecules}\\x=156 mol H_2

The molecular mass of H_2 is 2 g/mol

1 mol \longrightarrow 2g\\156 mol\longrightarrow x \\x=\frac{1.25mol. 98.079g}{1 mol} \\x= 312g

In 9,4.10^{25} molecules of H_2 are 312 g

Chemistry
Step-by-step answer
P Answered by Master

In 7,4.10^{23} molecules of AgNO_3 are 209 g

In 7,5.10^{23} molecules of H_2SO_4 are 123 g

In 9,4.10^{25} molecules of H_2 are 312 g

Explanation:

First remember that 1 mole of any element has 6.02 10^{23} molecules (this number is a constant).

we know that the molecular mass of an element relates the grams of that substance in 1 mol

To calculate how many grams of AgNO_3 are in 7,4.10^{23} molecules we use a rule of three

6,02.10^{23} molecules \longrightarrow 1mol AgNO_3\\7,4.10^{23} molecules\longrightarrow x\\x=\frac{7.,4.10^{23}molecules.1mol AgNO_3 }{6,02.10^{23}molecules}\\x=1.23 mol AgNO_3

The molecular mass of AgNO_3 is 169.87 g/mol

1 mol \longrightarrow 169.87 g\\1.23 mol\longrightarrow x\\x=\frac{1.23 mol. 169.87g}{1 mol} \\x= 209 g AgNO_3

In 7,4.10^{23} molecules of AgNO_3 are 209 g

To calculate how many grams of H_2SO_4 are in 7,5.10^{23} molecules we repeat the previous procedure

6,02.10^{23} molecules \longrightarrow 1mol H_2SO_4\\7,5.10^{23} molecules\longrightarrow x\\x=\frac{7.,5.10^{23}molecules.1mol AgNO_3 }{6,02.10^{23} molecules}\\x=1.25 mol H_2SO_4

The molecular mass of H_2SO_4 is 98.079 g/mol

1 mol \longrightarrow 98.079g\\1.25 mol\longrightarrow x\\x=\frac{1.25mol. 98.079g}{1 mol}\\x= 123 g AgNO_3

In 7,5.10^{23} molecules of H_2SO_4 are 123 g

To calculate how many grams of H_2 are in 9,4.10^{25} molecules we repeat the previous procedure

6,02.10^{23} molecules \longrightarrow 1mol H_2\\9,4.10^{25} molecules\longrightarrow x\\x=\frac{9,4.10^{25}molecules.1mol H_2}{6,02.10^{23} molecules}\\x=156 mol H_2

The molecular mass of H_2 is 2 g/mol

1 mol \longrightarrow 2g\\156 mol\longrightarrow x \\x=\frac{1.25mol. 98.079g}{1 mol} \\x= 312g

In 9,4.10^{25} molecules of H_2 are 312 g

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