Ammonia,is a weak base with a Ka value of 1.8x10^-5 .What is the pH of a 0.22M ammonia solution?

Ammonia,is a weak base with a Kb value of 1.8x10^-5 .What is the pH of a 0.22M ammonia solution?

sorry the 2nd question is the right one

NH3 + HOH ==> NH4^+ + OH^-

Kb = (NH^+)(OH^-)/(NH3)
Do an ICE chart and plug into the expression for Kb. I get pOH = about 2.7 and pH = about 11.3 but you need to go through and not estimate as I did.

ok thanks alot...

the PartB asks for:

What is the percent ionization of ammonia at this concentration?

To determine the pH of a solution of a weak base, such as ammonia (NH3), we need to consider its equilibrium reaction with water:

NH3 + H2O ⇌ NH4+ + OH-

Ammonia reacts with water to form ammonium ions (NH4+) and hydroxide ions (OH-). Since the Ka value is given as 1.8x10^-5, we can assume that the equilibrium constant (Kw) for water, which represents the concentration of hydronium ions (H3O+) and hydroxide ions (OH-), is equal to 1.0x10^-14 at 25°C.

The equation for the equilibrium constant (Kw) is:

Kw = [H3O+][OH-]

Since the concentration of OH- is equal to the concentration of NH4+ (since one OH- is produced for every NH4+), and we assume x as the concentration of NH4+ and OH-, we can simplify the equation to:

Kw = x^2

Rearranging the equation gives:

x = sqrt(Kw)

Now, we can plug in the value of Kw (1.0x10^-14) to calculate x:

x = sqrt(1.0x10^-14) = 1.0x10^-7

The concentration of OH- and NH4+ is now known, but we need to find the concentration of NH3 in the solution. The equation for NH3 dissociating into NH4+ is:

NH3 ⇌ NH4+ + OH-

Since x represents the concentration of NH4+, which is equal to the concentration of OH-, we can substitute x as the concentration of NH3. The total concentration of NH3 is given as 0.22M, so:

0.22 = x

Now, we can calculate the pOH of the solution by taking the negative logarithm (base 10) of x (concentration of OH-):

pOH = -log(x) = -log(1.0x10^-7)

Using calculator:

pOH = 7

Since pH + pOH = 14 (at 25°C), we can calculate the pH:

pH = 14 - pOH = 14 - 7 = 7

Therefore, the pH of a 0.22M ammonia solution is 7.