How many grams of concentrated nitric acid solution should be used to ...
The required number of Moles =(250/1000)2=0•5 moles
(no of Moles = molarity×vol.)
so reqd.mass of HNO3 =0•5×63
=31•5
given mass = no of moles × molar mass
Given,
70gms of HNO3 are present in 100 gms of the Sol.
so,1gm will be present in 100/70 gms of sol.
hense, 31•5 gms will be present in
100/70 × 31•5 gms of sol.
so amount of concentrated nitric acid solution used is 45 gms.
How many grams of concentrated nitric acid solution should be used to ...
Given:
Volume of solution to be prepared (V) = 250 mL = 0.25 L
Molarity of the solution (M) = 2.0 M
Concentration of the concentrated acid (C) = 70% HNO3
To calculate:
Mass of concentrated nitric acid required (m)
Solution:
We can use the formula:
M1V1 = M2V2
where,
M1 = initial molarity of the solution
V1 = initial volume of the solution
M2 = final molarity of the solution
V2 = final volume of the solution
Let's substitute the given values in the formula:
M1 = ?
V1 = ?
M2 = 2.0 M
V2 = 0.25 L
We know that the concentrated acid is 70% HNO3, which means that 100 g of the concentrated acid contains 70 g of HNO3. Therefore, the concentration of HNO3 in the concentrated acid can be calculated as:
Concentration of HNO3 = 70 g/100 g = 0.7 g/g
Let's assume that we need to take m grams of concentrated nitric acid solution. Then, the mass of HNO3 in this solution can be calculated as:
Mass of HNO3 = (0.7 g/g) x m g = 0.7m g
We want to prepare a solution of 2.0 M, which means that there should be 2.0 moles of HNO3 per liter of solution. Therefore, the number of moles of HNO3 required can be calculated as:
Number of moles of HNO3 = M2 x V2 = 2.0 M x 0.25 L = 0.5 moles
We know that the molar mass of HNO3 is 63 g/mol. Therefore, the mass of HNO3 required can be calculated as:
Mass of HNO3 = Number of moles of HNO3 x Molar mass of HNO3
= 0.5 moles x 63 g/mol
= 31.5 g
Finally, we can use the mass percentage formula to calculate the mass of concentrated nitric acid solution required:
Mass of concentrated nitric acid solution = (Mass of HNO3 / Concentration of HNO3) x 100
= (31.5 g / 0.7 g/g) x 100
= 4500 g
Therefore, the mass of concentrated nitric acid solution required is 45.0 g, which is option D.