A sample of 7.80L of NH3 (ammonia) gas at 22 degrees and 735mmHg is bubbled into a 0.350L solution of 0.400M HCL(hydrochloric acid).

The Kb value for NH3 is 1.8x10-5

Assuming all the NH3 dissolves and that the volume of the solution remains at 0.350L , calculate the pH of the resulting solution.

To calculate the pH of the resulting solution, we need to find the concentration of OH- ions in the solution first. Here's how you can do it:

1. Calculate the moles of NH3 gas:
- Use the ideal gas law equation, PV = nRT, to calculate the moles of NH3 gas.
- The pressure (P) is given as 735 mmHg, the volume (V) as 7.80 L, the temperature (T) as 22 degrees Celsius (convert to Kelvin), and the gas constant (R) as 0.0821 L·atm/(mol·K).
- Rearrange the formula to solve for n (moles):
n = (PV) / (RT)

2. Calculate the moles of NH3 reacting with HCl:
- The balanced equation between NH3 and HCl is: NH3(g) + HCl(aq) → NH4Cl(aq)
- From the balanced equation, we can see that 1 mole of NH3 reacts with 1 mole of HCl.
- Since NH3 is the limiting reactant (assuming all of it dissolves), the moles of NH3 reacting with HCl is equal to the moles of NH3 calculated in step 1.

3. Calculate the concentration (molarity) of NH3 in the resulting solution:
- Divide the moles of NH3 calculated in step 2 by the final volume of the resulting solution (0.350 L) to get the concentration of NH3.

4. Calculate the concentration (molarity) of OH- ions:
- Since NH3 is a weak base, it reacts with water to produce OH- ions.
- Use the Kb value (1.8x10^-5) to calculate the concentration of OH- ions.
- The equation for the dissociation of NH3 in water is: NH3(aq) + H2O(l) → NH4+(aq) + OH-(aq)
- The Kb expression for this reaction is: Kb = [NH4+][OH-] / [NH3]
- Since NH4+ concentration is negligible in comparison to NH3, you can assume that the concentration of OH- is equal to the concentration of NH3 multiplied by the Kb value.

5. Calculate the pOH:
- pOH = -log10([OH-])

6. Calculate the pH:
- pH = 14 - pOH

Follow these steps to find the pH of the resulting solution.