Question

A sample of gallium Bromide GaBr2,weighing 0.165 g was dissolved in water and treated with silver nitrate AgNO3, and resulting the precipitation of 0.299 g AgBr. Use this data to compute the %Ga (by mass) GaBr2

Answer 1

Answer: The percent gallium in gallium bromide is 30.30 %.

Step-by-step explanation:

To calculate the number of moles, we use the equation:

`\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}` .....(1)

Given mass of gallium bromide = 0.165 g

Molar mass of titanium gallium bromide = 229.53 g/mol

Putting values in equation 1, we get:

`\text{Moles of gallium bromide}=(0.165g)/(229.53g/mol)=0.00072mol`

• The chemical equation for the reaction of gallium bromide and silver nitrate follows:

`GaBr_2+2AgNO_3\rightarrow 2AgBr(s)+Ga(NO_3)_2`

By Stoichiometry of the reaction:

1 moles of gallium bromide produces 1 mole of gallium nitrate

So, 0.00072 moles of gallium bromide will produce =
`(1)/(1)* 0.00072=0.00072moles` of gallium nitrate

• Now, calculating the mass of gallium nitrate from equation 1, we get:

Molar mass of gallium nitrate = 193.73 g/mol

Moles of gallium nitrate = 0.00072 moles

Putting values in equation 1, we get:

`0.00072mol=\frac{\text{Mass of gallium nitrate}}{193.73g/mol}\\\\\text{Mass of gallium nitrate}=0.139g`

Calculating the mass of gallium in the reaction, we use unitary method:

In 1 mole of gallium nitrate, 1 mole of gallium atom is present.

In 193.73 grams of gallium nitrate, 69.72 g of gallium atom is present.

So, in 0.139 grams of gallium nitrate, the mass of gallium present will be =
`(69.72)/(193.73)* 0.139=g`

• To calculate the percentage composition of gallium in gallium bromide, we use the equation:

`\%\text{ composition of gallium}=\frac{\text{Mass of gallium}}{\text{Mass of gallium bromide}}* 100`

Mass of gallium bromide = 0.165 g

Mass of gallium = 0.050 g

Putting values in above equation, we get:

`\%\text{ composition of gallium}=(0.050g)/(0.165g)* 100=30.30\%`

Hence, the percent gallium in gallium bromide is 30.30 %.