If 20 ml of 0.5 M `Na_2SO_4` is mixed with 50 ml of 0.2 M `H_2SO_4` & 30 ml of 0.4 M `AL_2(SO_4)_3` solution. Calculate `[Na^+], [H^+], [SO_4^(2-)], [Al^(3+)]`. [Assuming 100% dissociation]

Explanation

To solve the problem, we need to calculate the concentrations of \( [Na^+] \), \( [H^+] \), \( [SO_4^{2-}] \), and \( [Al^{3+}] \) after mixing the given solutions. Here’s a step-by-step breakdown of the solution:

### Step 1: Calculate the total volume of the mixture
The total volume of the mixture is the sum of the volumes of the individual solutions:
- Volume of \( Na_2SO_4 \) = 20 ml
- Volume of \( H_2SO_4 \) = 50 ml
- Volume of \( Al_2(SO_4)_3 \) = 30 ml

...