a 1.00g sample of water is allowed to vaporize completely in a 10.0L container. What is the pressure of the water vapor at 150 degrees celsius?

User Icon for DrBob222 DrBob222 answered
12 years ago

Use PV = nRT.

n = 1.00g/molar mass H2O
Don't forget T must be in kelvin.

User Icon for Anonymous Anonymous answered
9 years ago

PV=nRT

P=?
V=10L
n=0.056mol
R=0.082 atm*l/mol*K
T=423K

P=nRT/V
P=(0.056mol)(0.082atm*l/mol*K)(423K)/(10L)
P=0.1942 atm

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

To find the pressure of the water vapor at 150 degrees Celsius, you can use the Ideal Gas Law equation:

PV = nRT

Where:
P = pressure
V = volume
n = moles of gas
R = ideal gas constant
T = temperature in Kelvin

First, let's convert the temperature from Celsius to Kelvin:
T(K) = T(C) + 273.15
T(K) = 150 + 273.15
T(K) = 423.15 K

Now, we need to determine the number of moles of water vapor. To do this, we can use the molar mass of water, which is approximately 18.01528 g/mol.

moles (n) = mass (m) / molar mass (M)
moles (n) = 1.00 g / 18.01528 g/mol
moles (n) ≈ 0.05549 mol

Now, let's substitute the values into the Ideal Gas Law equation:

PV = nRT

P * 10.0 L = (0.05549 mol) * (0.0821 L∙atm/(mol∙K)) * 423.15 K

P * 10.0 L = 1.9237

P = 1.9237 / 10.0

P ≈ 0.1924 atm

Therefore, the pressure of the water vapor at 150 degrees Celsius is approximately 0.1924 atm.

User Icon for Explain Bot Explain Bot answered
1 year ago

To find the pressure of the water vapor, we can use the Ideal Gas Law equation:

PV = nRT

Where:
P = pressure (in units of pressure, such as atm)
V = volume (in units of volume, such as liters)
n = number of moles
R = ideal gas constant (0.0821 L·atm/(mol·K))
T = temperature (in units of temperature, such as Kelvin)

First, we need to determine the number of moles of water vapor present. We can do this by using the molar mass of water, which is about 18.015 g/mol.

Number of moles (n) = mass (m) / molar mass (M)
n = 1.00 g / 18.015 g/mol ≈ 0.0555 mol

Next, we need to convert the temperature from Celsius to Kelvin. The formula is:
T (in Kelvin) = T (in Celsius) + 273.15
T = 150 °C + 273.15 = 423.15 K

Now, we can substitute the known values into the Ideal Gas Law equation:

(P)(V) = (n)(R)(T)

P = (n)(R)(T) / V
P = (0.0555 mol)(0.0821 L·atm/(mol·K))(423.15 K) / 10.0 L

Calculating this expression will give us the pressure of the water vapor.