A sample of sulfur dioxide gas has a density of

g/L at a pressure of 0.964 atm and a temperature of 44 °C. Assume ideal behavior.

1 answer

To solve this problem, we can use the ideal gas law equation:

PV = nRT

Where:
P = pressure (0.964 atm)
V = volume
n = number of moles
R = ideal gas constant (0.0821 L•atm/mol•K)
T = temperature in Kelvin (44°C + 273 = 317 K)

First, we need to find the number of moles of sulfur dioxide gas by rearranging the ideal gas law equation:

n = PV / RT
n = (0.964 atm) (V) / (0.0821 L•atm/mol•K) (317 K)

Next, we can use the ideal gas law to solve for the volume given the density of the gas:

Density = mass / volume
Volume = mass / density

Since density = g/L, we can find the mass of the gas in the sample by multiplying density by volume:
mass = density * volume

Finally, we can substitute the mass and number of moles back into the ideal gas law equation to solve for the volume of the gas.