when silicon dioxide combines with carbon in the following reaction, it is only 95.2% efficient. what mass of silicon carbide will form when 5.75g of silicon dioxide reacts?

mass of SiC at 95.2 % efficiency = 3.67 g

Explanation:

given data

mass of silicon carbide = 5.575

mas of silicon dioxide = ?

efficiency = 95.2%

balanced chemical equation

SiO₂ + 3C → SiC + 2CO

The mole ration of SiO2 and SiC = 1 : 1

First we will find out number of moles of SiO₂ and SiC

As we know that:

number of moles = mass / molar mass

number of moles of SiO₂ = 5.75 / 60.08

number of moles of SiO₂ = 0.096 mol

As the mole ration of SiO₂ and SiC = 1 : 1

so number of moles of SiC = 0.096 / 1

number of moles of SiC = 0.096

Now we find the mass of SiC

mass of SiC = moles * molar mass

mass of SiC = 0.096 mol * 40.11 g/mol

mass of SiC = 3.85 g

3.85 g SiC will produse when there is 100% effeciency

when the reaction is 95.2 % efficient mass of SiC will be:

mass of SiC at 95.2 % efficiency = (3.85 / 100) * 95.2

mass of SiC at 95.2 % efficiency = 0.0385 * 95.2

mass of SiC at 95.2 % efficiency = 3.67 g