Answer : The mass of
formed will be, 157.52 grams.
Solution : Given,
Mass of
= 53.8 g
Molar mass of
= 30 g/mole
Molar mass of
= 44 g/mole
First we have to calculate the moles of
.
![\text{Moles of }C_2H_6=\frac{\text{Mass of }C_2H_6}{\text{Molar mass of }C_2H_6}=(53.8g)/(30g/mole)=1.79moles](https://img.qammunity.org/2020/formulas/chemistry/middle-school/t94zi5obq28n7mtxf7ge7zhxap9mfrmtwn.png)
Now we have to calculate the moles of
.
The given balanced chemical reaction is,
![2C_2H_6+7O_2\rightarrow 6H_2O+4CO_2](https://img.qammunity.org/2020/formulas/chemistry/middle-school/w9077xekfs9774q2h64eqpiy0lweapmxs2.png)
From the balanced reaction, we conclude that
As, 2 moles of
react to give 4 moles of
![CO_2](https://img.qammunity.org/2020/formulas/chemistry/middle-school/9buh7akatdpijrt1r7cb5qhyd0gchga3yu.png)
So, 1.79 moles of
react to give
moles of
![CO_2](https://img.qammunity.org/2020/formulas/chemistry/middle-school/9buh7akatdpijrt1r7cb5qhyd0gchga3yu.png)
Now we have to calculate the mass of
.
![\text{Mass of }CO_2=\text{Moles of }CO_2* \text{Molar mass of }CO_2](https://img.qammunity.org/2020/formulas/chemistry/middle-school/7c6dm8ffjzfau3mstiov7aycmdc6qkme52.png)
![\text{Mass of }CO_2=(3.58mole)* (44g/mole)=157.52g](https://img.qammunity.org/2020/formulas/chemistry/middle-school/2jy0ws4hrw72j4hhv0zkicxa4zdc49799m.png)
Therefore, the mass of
formed will be, 157.52 grams.