Answer :
(a)The molarity of KCl solution is, 0.9713 mole/L
(b)The molarity of
solution is, 0.00525 mole/L
(c)The molarity of
solution is, 0.0612 mole/L
(d)The molarity of
solution is, 7.61 mole/L
(e)The molarity of
solution is, 0.0565 mole/L
(f)The molarity of
solution is, 0.0113 mole/L
Explanation :
<u>(a) 1.457 mol of KCl in 1.500 L of solution</u>
Formula used :
![\text{Molarity of the solution}=\frac{\text{Moles of solute}}{\text{Volume of solution (in L)}}](https://tex.z-dn.net/?f=%5Ctext%7BMolarity%20of%20the%20solution%7D%3D%5Cfrac%7B%5Ctext%7BMoles%20of%20solute%7D%7D%7B%5Ctext%7BVolume%20of%20solution%20%28in%20L%29%7D%7D)
Solute is KCl.
![\text{Molarity of the solution}=\frac{1.457mole}{1.500L}=0.9713mole/L](https://tex.z-dn.net/?f=%5Ctext%7BMolarity%20of%20the%20solution%7D%3D%5Cfrac%7B1.457mole%7D%7B1.500L%7D%3D0.9713mole%2FL)
The molarity of KCl solution is, 0.9713 mole/L
<u>(b) 0.515 gram of
, in 1.00 L of solution</u>
Formula used :
![\text{Molarity of the solution}=\frac{\text{Mass of solute}}{\text{Molar mass of solute}\times \text{Volume of solution (in L)}}](https://tex.z-dn.net/?f=%5Ctext%7BMolarity%20of%20the%20solution%7D%3D%5Cfrac%7B%5Ctext%7BMass%20of%20solute%7D%7D%7B%5Ctext%7BMolar%20mass%20of%20solute%7D%5Ctimes%20%5Ctext%7BVolume%20of%20solution%20%28in%20L%29%7D%7D)
Solute is ![H_2SO_4](https://tex.z-dn.net/?f=H_2SO_4)
Molar mass of
= 98 g/mole
![\text{Molarity of the solution}=\frac{0.515g}{98g/mole\times 1.00L}=0.00525mole/L](https://tex.z-dn.net/?f=%5Ctext%7BMolarity%20of%20the%20solution%7D%3D%5Cfrac%7B0.515g%7D%7B98g%2Fmole%5Ctimes%201.00L%7D%3D0.00525mole%2FL)
The molarity of
solution is, 0.00525 mole/L
<u>(c) 20.54 g of
in 1575 mL of solution</u>
Formula used :
![\text{Molarity of the solution}=\frac{\text{Mass of solute}\times 1000}{\text{Molar mass of solute}\times \text{Volume of solution (in mL)}}](https://tex.z-dn.net/?f=%5Ctext%7BMolarity%20of%20the%20solution%7D%3D%5Cfrac%7B%5Ctext%7BMass%20of%20solute%7D%5Ctimes%201000%7D%7B%5Ctext%7BMolar%20mass%20of%20solute%7D%5Ctimes%20%5Ctext%7BVolume%20of%20solution%20%28in%20mL%29%7D%7D)
Solute is ![Al(NO_3)_3](https://tex.z-dn.net/?f=Al%28NO_3%29_3)
Molar mass of
= 213 g/mole
![\text{Molarity of the solution}=\frac{20.54g\times 1000}{213g/mole\times 1575L}=0.0612mole/L](https://tex.z-dn.net/?f=%5Ctext%7BMolarity%20of%20the%20solution%7D%3D%5Cfrac%7B20.54g%5Ctimes%201000%7D%7B213g%2Fmole%5Ctimes%201575L%7D%3D0.0612mole%2FL)
The molarity of
solution is, 0.0612 mole/L
<u>(d) 2.76 kg of
in 1.45 L of solution</u>
Formula used :
![\text{Molarity of the solution}=\frac{\text{Mass of solute}}{\text{Molar mass of solute}\times \text{Volume of solution (in L)}}](https://tex.z-dn.net/?f=%5Ctext%7BMolarity%20of%20the%20solution%7D%3D%5Cfrac%7B%5Ctext%7BMass%20of%20solute%7D%7D%7B%5Ctext%7BMolar%20mass%20of%20solute%7D%5Ctimes%20%5Ctext%7BVolume%20of%20solution%20%28in%20L%29%7D%7D)
Solute is ![CuSO_4.5H_2O](https://tex.z-dn.net/?f=CuSO_4.5H_2O)
Molar mass of
= 250 g/mole
![\text{Molarity of the solution}=\frac{2760g}{250g/mole\times 1.45L}=7.61mole/L](https://tex.z-dn.net/?f=%5Ctext%7BMolarity%20of%20the%20solution%7D%3D%5Cfrac%7B2760g%7D%7B250g%2Fmole%5Ctimes%201.45L%7D%3D7.61mole%2FL)
The molarity of
solution is, 7.61 mole/L
<u>(e) 0.005653 mol of
in 10.00 ml of solution</u>
Formula used :
![\text{Molarity of the solution}=\frac{\text{Moles of solute}\times 1000}{\text{Volume of solution (in mL)}}](https://tex.z-dn.net/?f=%5Ctext%7BMolarity%20of%20the%20solution%7D%3D%5Cfrac%7B%5Ctext%7BMoles%20of%20solute%7D%5Ctimes%201000%7D%7B%5Ctext%7BVolume%20of%20solution%20%28in%20mL%29%7D%7D)
Solute is
.
![\text{Molarity of the solution}=\frac{0.005653mole\times 1000}{10.00L}=0.0565mole/L](https://tex.z-dn.net/?f=%5Ctext%7BMolarity%20of%20the%20solution%7D%3D%5Cfrac%7B0.005653mole%5Ctimes%201000%7D%7B10.00L%7D%3D0.0565mole%2FL)
The molarity of
solution is, 0.0565 mole/L
<u>(f) 0.000889 g of glycine,
, in 1.05 mL of solution</u>
Formula used :
![\text{Molarity of the solution}=\frac{\text{Mass of solute}\times 1000}{\text{Molar mass of solute}\times \text{Volume of solution (in mL)}}](https://tex.z-dn.net/?f=%5Ctext%7BMolarity%20of%20the%20solution%7D%3D%5Cfrac%7B%5Ctext%7BMass%20of%20solute%7D%5Ctimes%201000%7D%7B%5Ctext%7BMolar%20mass%20of%20solute%7D%5Ctimes%20%5Ctext%7BVolume%20of%20solution%20%28in%20mL%29%7D%7D)
Solute is ![C_2H_5NO_2](https://tex.z-dn.net/?f=C_2H_5NO_2)
Molar mass of
= 75 g/mole
![\text{Molarity of the solution}=\frac{0.000889g\times 1000}{75g/mole\times 1.05L}=0.0113mole/L](https://tex.z-dn.net/?f=%5Ctext%7BMolarity%20of%20the%20solution%7D%3D%5Cfrac%7B0.000889g%5Ctimes%201000%7D%7B75g%2Fmole%5Ctimes%201.05L%7D%3D0.0113mole%2FL)
The molarity of
solution is, 0.0113 mole/L