Answer
Verified
405k+ views
Hint: To determine the equivalent mass of gold, relation between equivalent weight and mass can be applied, as mass of gold, mass of silver and equivalent mass of valency are given. By calculating the equivalent mass of gold we can determine its valency by using the formula for calculating the equivalent weight.
Complete step by step answer:
Given,
The mass of silver (Ag) is 2.158 gm.
The mass of gold (Au) is 1.314 gm.
The equivalent mass of silver (Ag) is 107.9
The formula to calculate the equivalent mass of gold (Au) is shown below.
$\dfrac{{{m_1}}}{{{m_2}}} = \dfrac{{{E_1}}}{{{E_2}}}$
Where,
${m_1}$ is mass of silver.
${m_2}$ is mass of gold.
${E_1}$ is equivalent mass of silver.
${E_2}$ is equivalent mass of gold.
To determine the value of equivalent mass of gold, substitute the values in the above equation.\[\dfrac{{2.158}}{{1.314}} = \dfrac{{107.9}}{{{E_2}}}\]
\[\Rightarrow {E_2} = \dfrac{{107.9 \times 1.314}}{{2.158}}\]
\[\Rightarrow {E_2} = 65.7\]
Therefore, the equivalent weight of gold (Au) is 65.7.
The equivalent mass is calculated by dividing the atomic mass by the valency.
The formula for equivalent mass is shown below.
\[Eq.wt = \dfrac{{Atomic\; Mass}}{{valency}}\]
From the above formula of equivalent mass, the formula for calculating the valency can be determined as shown below.
\[Valency = \dfrac{{Atomic\; Mass}}{{Eq.wt}}\]
The atomic mass of gold is 197.
For calculating the valency, substitute the value of atomic mass of gold and equivalent mass in above equation.
$Valency = \dfrac{{197}}{{65.7}}$
\[\Rightarrow Valency = 3\]
Therefore, the valency of gold is 3.
Note: When the mass of the chemical compound is g grams, then the mass which contain the gram equivalent is given by the formula as shown below.
$g.eq = valency\; factor \times moles$
Gram equivalent weight is the same as the mass present in grams which numerically equal to the equivalent weight.
Complete step by step answer:
Given,
The mass of silver (Ag) is 2.158 gm.
The mass of gold (Au) is 1.314 gm.
The equivalent mass of silver (Ag) is 107.9
The formula to calculate the equivalent mass of gold (Au) is shown below.
$\dfrac{{{m_1}}}{{{m_2}}} = \dfrac{{{E_1}}}{{{E_2}}}$
Where,
${m_1}$ is mass of silver.
${m_2}$ is mass of gold.
${E_1}$ is equivalent mass of silver.
${E_2}$ is equivalent mass of gold.
To determine the value of equivalent mass of gold, substitute the values in the above equation.\[\dfrac{{2.158}}{{1.314}} = \dfrac{{107.9}}{{{E_2}}}\]
\[\Rightarrow {E_2} = \dfrac{{107.9 \times 1.314}}{{2.158}}\]
\[\Rightarrow {E_2} = 65.7\]
Therefore, the equivalent weight of gold (Au) is 65.7.
The equivalent mass is calculated by dividing the atomic mass by the valency.
The formula for equivalent mass is shown below.
\[Eq.wt = \dfrac{{Atomic\; Mass}}{{valency}}\]
From the above formula of equivalent mass, the formula for calculating the valency can be determined as shown below.
\[Valency = \dfrac{{Atomic\; Mass}}{{Eq.wt}}\]
The atomic mass of gold is 197.
For calculating the valency, substitute the value of atomic mass of gold and equivalent mass in above equation.
$Valency = \dfrac{{197}}{{65.7}}$
\[\Rightarrow Valency = 3\]
Therefore, the valency of gold is 3.
Note: When the mass of the chemical compound is g grams, then the mass which contain the gram equivalent is given by the formula as shown below.
$g.eq = valency\; factor \times moles$
Gram equivalent weight is the same as the mass present in grams which numerically equal to the equivalent weight.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Why Are Noble Gases NonReactive class 11 chemistry CBSE
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
At which age domestication of animals started A Neolithic class 11 social science CBSE
Which are the Top 10 Largest Countries of the World?
Give 10 examples for herbs , shrubs , climbers , creepers
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Difference Between Plant Cell and Animal Cell
Write a letter to the principal requesting him to grant class 10 english CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE