Aqueous ammonia is typically sold by chemical supply houses as the saturated solution, which has a concentration of 14.5mol/L. What volume of NH3 at STP is required to prepare 100. mL of concentrated ammonia solution?
14.5 M = 14.5 mols/L = 1.45 mols/100 mL.
1.45 mols NH3 x molar mass NH3 = grams NH3.
To determine the volume of NH3 required to prepare 100 mL of concentrated ammonia solution, we need to use the given concentration and information about STP (Standard Temperature and Pressure).
Step 1: Write down the given information:
- Concentration of the ammonia solution: 14.5 mol/L
- Volume of the ammonia solution to be prepared: 100 mL
Step 2: Convert the volume of the ammonia solution to liters:
100 mL = 100 mL × (1 L/1000 mL) = 0.1 L
Step 3: Use the concentration and volume to calculate the amount of NH3 needed:
Amount of NH3 = concentration × volume
Amount of NH3 = 14.5 mol/L × 0.1 L = 1.45 mol
Step 4: Use the molar volume of gas at STP to calculate the volume of NH3:
At STP, one mole of any ideal gas occupies 22.4 L.
So, 1.45 moles of NH3 would occupy:
Volume of NH3 = 1.45 mol × 22.4 L/mol = 32.08 L
Therefore, to prepare 100 mL of concentrated ammonia solution, you would need approximately 32.08 L of NH3 at STP.
To find the volume of NH3 required to prepare 100 mL of concentrated ammonia solution, we can use the equation:
M1V1 = M2V2
Where:
M1 = initial concentration (14.5 mol/L)
V1 = initial volume of concentrated ammonia solution (unknown)
M2 = final concentration of ammonia solution (14.5 mol/L)
V2 = final volume of ammonia solution (100 mL)
Let's plug in the values we know:
(14.5 mol/L) * V1 = (14.5 mol/L) * (100 mL)
Now we can solve for V1:
V1 = (14.5 mol/L) * (100 mL) / (14.5 mol/L)
V1 = 100 mL
Therefore, the volume of NH3 at STP required to prepare 100 mL of concentrated ammonia solution is also 100 mL.