Answer : The volume of the gas remaining is 56.5 liters.
The gas is hydrochloric acid and the formula of the gas is HCl.
The mass of
produced is, 110.7 grams.
Explanation :
The balanced chemical reaction will be:
![NH_3+HCl\rightarrow NH_4Cl](https://tex.z-dn.net/?f=NH_3%2BHCl%5Crightarrow%20NH_4Cl)
First we have to calculate the moles of
and HCl
![\text{Moles of }NH_3=\frac{\text{Mass of }NH_3}{\text{Molar mass of }NH_3}](https://tex.z-dn.net/?f=%5Ctext%7BMoles%20of%20%7DNH_3%3D%5Cfrac%7B%5Ctext%7BMass%20of%20%7DNH_3%7D%7B%5Ctext%7BMolar%20mass%20of%20%7DNH_3%7D)
Molar mass of NH_3 = 17 g/mole
![\text{Moles of }NH_3=\frac{75.5g}{17g/mole}=4.44mole](https://tex.z-dn.net/?f=%5Ctext%7BMoles%20of%20%7DNH_3%3D%5Cfrac%7B75.5g%7D%7B17g%2Fmole%7D%3D4.44mole)
and,
![\text{Moles of }HCl=\frac{\text{Mass of }HCl}{\text{Molar mass of }HCl}](https://tex.z-dn.net/?f=%5Ctext%7BMoles%20of%20%7DHCl%3D%5Cfrac%7B%5Ctext%7BMass%20of%20%7DHCl%7D%7B%5Ctext%7BMolar%20mass%20of%20%7DHCl%7D)
Molar mass of HCl = 36.5 g/mole
![\text{Moles of }HCl=\frac{75.5g}{36.5g/mole}=2.07mole](https://tex.z-dn.net/?f=%5Ctext%7BMoles%20of%20%7DHCl%3D%5Cfrac%7B75.5g%7D%7B36.5g%2Fmole%7D%3D2.07mole)
Now we have to calculate the limiting and excess reagent.
From the balanced reaction we conclude that
As, 1 mole of HCl react with 1 mole of ![NH_3](https://tex.z-dn.net/?f=NH_3)
So, 2.07 mole of HCl react with 2.07 mole of ![NH_3](https://tex.z-dn.net/?f=NH_3)
From this we conclude that,
is an excess reagent because the given moles are greater than the required moles and HCl is a limiting reagent and it limits the formation of product.
The remaining moles of HCl gas = 4.44 - 2.07 = 2.37 moles
Now we have to calculate the volume of the gas remaining.
Using ideal gas equation :
PV = nRT
where,
P = Pressure of gas = 752 mmHg = 0.989 atm (1 atm = 760 mmHg)
V = Volume of gas = ?
n = number of moles of gas = 2.37 moles
R = Gas constant = 0.0821 L.atm/mol.K
T = Temperature of gas = ![14.0^oC=273+14.0=287K](https://tex.z-dn.net/?f=14.0%5EoC%3D273%2B14.0%3D287K)
Putting values in above equation, we get:
![0.989atm\times V=2.37mole\times (0.0821L.atm/mol.K)\times 287K](https://tex.z-dn.net/?f=0.989atm%5Ctimes%20V%3D2.37mole%5Ctimes%20%280.0821L.atm%2Fmol.K%29%5Ctimes%20287K)
V = 56.5 L
Now we have to calculate the moles of ![NH_4Cl](https://tex.z-dn.net/?f=NH_4Cl)
As, 1 mole of HCl react with 1 mole of ![NH_4Cl](https://tex.z-dn.net/?f=NH_4Cl)
So, 2.07 mole of HCl react with 2.07 mole of ![NH_4Cl](https://tex.z-dn.net/?f=NH_4Cl)
Now we have to calculate the mass of ![NH_4Cl](https://tex.z-dn.net/?f=NH_4Cl)
![\text{ Mass of }NH_4Cl=\text{ Moles of }NH_4Cl\times \text{ Molar mass of }NH_4Cl](https://tex.z-dn.net/?f=%5Ctext%7B%20Mass%20of%20%7DNH_4Cl%3D%5Ctext%7B%20Moles%20of%20%7DNH_4Cl%5Ctimes%20%5Ctext%7B%20Molar%20mass%20of%20%7DNH_4Cl)
Molar mass of
= 53.5 g/mole
![\text{ Mass of }NH_4Cl=(2.07moles)\times (53.5g/mole)=110.7g](https://tex.z-dn.net/?f=%5Ctext%7B%20Mass%20of%20%7DNH_4Cl%3D%282.07moles%29%5Ctimes%20%2853.5g%2Fmole%29%3D110.7g)
Thus, the volume of the gas remaining is 56.5 liters.
The gas is hydrochloric acid and the formula of the gas is HCl.
The mass of
produced is, 110.7 grams.