<u>Answer: </u>
<u>For 1:</u> The volume of HCl required is 6 L.
<u>For 2:</u> The volume of HCl required is 9 L.
<u>For 3:</u> The volume of sulfuric acid required is 4.5 L.
<u>Explanation:</u>
To calculate the volume of acid, we use the equation given by neutralization reaction:
......(1)
where,
are the n-factor, molarity and volume of acid
are the n-factor, molarity and volume of base
We are given:
![n_1=1\\M_1=1M\\V_1=?L\\n_2=1\\M_2=3.0M\\V_2=2.0L](https://tex.z-dn.net/?f=n_1%3D1%5C%5CM_1%3D1M%5C%5CV_1%3D%3FL%5C%5Cn_2%3D1%5C%5CM_2%3D3.0M%5C%5CV_2%3D2.0L)
Putting values in equation 1, we get:
![1\times 1\times V_1=1\times 3\times 2\\\\V_1=6L](https://tex.z-dn.net/?f=1%5Ctimes%201%5Ctimes%20V_1%3D1%5Ctimes%203%5Ctimes%202%5C%5C%5C%5CV_1%3D6L)
Hence, the volume of HCl required is 6 L.
We are given:
![n_1=1\\M_1=1M\\V_1=?L\\n_2=2\\M_2=3.0M\\V_2=1.5L](https://tex.z-dn.net/?f=n_1%3D1%5C%5CM_1%3D1M%5C%5CV_1%3D%3FL%5C%5Cn_2%3D2%5C%5CM_2%3D3.0M%5C%5CV_2%3D1.5L)
Putting values in equation 1, we get:
![1\times 1\times V_1=2\times 3.0\times 1.5\\\\V_1=9L](https://tex.z-dn.net/?f=1%5Ctimes%201%5Ctimes%20V_1%3D2%5Ctimes%203.0%5Ctimes%201.5%5C%5C%5C%5CV_1%3D9L)
Hence, the volume of HCl required is 9 L.
To calculate the volume of acid, we use the equation:
![N_1V_1=N_2V_2](https://tex.z-dn.net/?f=N_1V_1%3DN_2V_2)
where,
are the normality and volume of acid
are the normality and volume of base
We are given:
![N_1=1.0N\\V_1=?L\\N_2=3.0N\\V_2=1.5L](https://tex.z-dn.net/?f=N_1%3D1.0N%5C%5CV_1%3D%3FL%5C%5CN_2%3D3.0N%5C%5CV_2%3D1.5L)
Putting values in above equation, we get:
![1.0\times V_1=3.0\times 1.5\\\\V_1=4.5L](https://tex.z-dn.net/?f=1.0%5Ctimes%20V_1%3D3.0%5Ctimes%201.5%5C%5C%5C%5CV_1%3D4.5L)
Hence, the volume of sulfuric acid required is 4.5 L.