N = Sp.gr*1000* percent% / eq.wt

Prepare 200 ml of 5 N H2SO4 solution from concentrated H2SO4 , if we know that Sp.gr = 1.84 g/ml , percent = 98% , At.wt for (H= 1 , S=32 , O =16 )
Thank you a lot

To prepare a 5 N (normal) solution of H2SO4, we can use the given formula:

N = Sp.gr * 1000 * percent% / eq.wt

Where:
- N = normality of the solution
- Sp.gr = specific gravity of the concentrated H2SO4
- percent% = percentage purity of the concentrated H2SO4
- eq.wt = equivalent weight of H2SO4

First, let's calculate the equivalent weight of H2SO4:

eq.wt = (2 * atomic weight of H) + atomic weight of S + (4 * atomic weight of O)
= (2 * 1) + 32 + (4 * 16)
= 2 + 32 + 64
= 98 g/mol

Now we can substitute the given values into the formula to find the normality (N):

N = 1.84 * 1000 * 98% / 98
= 1.84 * 1000 * 0.98 / 98
= 1840 * 0.01
= 18.4 N

So, the concentrated H2SO4 solution is 18.4 N.

To prepare 200 ml of a 5 N solution, we need to dilute the concentrated solution. Let's assume we have a volumetric flask available for dilution.

Here's how you can prepare 200 ml of a 5 N H2SO4 solution:

1. Calculate the volume of the concentrated H2SO4 solution required to get 200 ml with the desired normality (N) using the formula:

Volume of concentrated solution = (Volume * N) / Ncon

Where:
- Volume of concentrated solution: unknown (let's call it Vcon)
- Volume: 200 ml
- N: 5 N (desired normality)
- Ncon: 18.4 N (concentrated solution's normality)

Vcon = (200 * 5) / 18.4
= 1000 / 18.4
≈ 54.35 ml

2. Measure approximately 54.35 ml of the concentrated H2SO4 solution using a measuring cylinder.

3. Transfer the measured amount of the concentrated solution into a clean volumetric flask.

4. Add distilled water to the volumetric flask to make up the volume to 200 ml. Use a dropper or a burette to add water slowly, ensuring the solution is thoroughly mixed.

5. Once the desired volume is reached, stop the addition of water and mix the solution thoroughly.

6. The resulting solution is a 5 N H2SO4 solution with a volume of 200 ml.

Remember to handle concentrated H2SO4 with caution, as it is highly corrosive and can cause severe burns.