find the density of NH3 gas at 100celsius when confined by a pressure of 1600mmHg
PV=nRT
where n= moles= mass/molemass=mass/17
PV*17=mass*RT
mass/V=density=Pressure*17/RT
Now look up the gas constant R, watch units carefully. Temp is in kelvins. pressure in Torr, mass is in grams. Carefull with units
It is attempted wrong
To find the density of NH3 gas at 100 degrees Celsius when confined by a pressure of 1600 mmHg, we need to use the ideal gas law equation:
PV = nRT
Where:
P = pressure (in Pascals)
V = volume (in cubic meters)
n = number of moles
R = ideal gas constant (8.314 J/mol·K)
T = temperature (in Kelvin)
To get the density, we need to rearrange the equation to solve for density:
Density = (P * M) / (R * T)
Where:
M = molar mass of NH3 (17.031 g/mol)
Let's proceed step-by-step to calculate the density:
Step 1: Convert temperature from Celsius to Kelvin.
100 + 273.15 = 373.15 K
Step 2: Convert pressure from mmHg to Pascals.
1 mmHg = 133.322 Pa
1600 mmHg * 133.322 Pa/mmHg = 213315.2 Pa
Step 3: Calculate the density.
Density = (213315.2 Pa * 17.031 g/mol) / (8.314 J/mol·K * 373.15 K)
Calculating this, we get:
Density = 1.660 g/L
Therefore, the density of NH3 gas at 100 degrees Celsius when confined by a pressure of 1600 mmHg is 1.660 g/L.
To find the density of NH3 gas at 100 degrees Celsius when confined by a pressure of 1600 mmHg, you need to use the ideal gas law equation, PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature.
First, convert the pressure from mmHg to atm by dividing it by 760 (1 atm = 760 mmHg). So, the pressure in atm is 1600 mmHg / 760 mmHg/atm ≈ 2.11 atm.
Next, convert the temperature from Celsius to Kelvin by adding 273.15. So, the temperature in Kelvin is (100 + 273.15) K ≈ 373.15 K.
Since we are finding the density, we need to rearrange the ideal gas law equation to solve for density. The equation is: density (ρ) = (molar mass * P) / (R * T), where molar mass is the molar mass of the gas.
The molar mass of NH3 (ammonia) is approximately 17.031 g/mol.
Now, plug in the values into the equation:
density (ρ) = (17.031 g/mol * 2.11 atm) / (0.0821 L·atm/mol·K * 373.15 K)
Simplify the equation:
density (ρ) = 35.884 g / (30.598 L·atm/mol·K)
Finally, calculate the density:
ρ ≈ 1.17 g/L
Therefore, the density of NH3 gas at 100 degrees Celsius when confined by a pressure of 1600 mmHg is approximately 1.17 g/L.