at a pressure of 390.0 kPa, a sample of ideal gas containing 110. moles of propane is collected at a tempature of 55 degrees celcius. find the volume of the propane tank used
To find the volume of the propane tank used, we can apply the ideal gas law equation:
PV = nRT
where:
P = pressure (in kilopascals, kPa)
V = volume (in liters, L)
n = number of moles of gas
R = ideal gas constant (0.0821 L·atm/(mol·K))
T = temperature (in Kelvin, K)
First, we need to convert the temperature from Celsius to Kelvin. The Kelvin temperature scale is obtained by adding 273.15 to the Celsius temperature.
T = 55°C + 273.15 = 328.15 K
Now, we can substitute the given values into the ideal gas law equation to solve for V:
PV = nRT
V = (nRT) / P
V = (110.0 moles * 0.0821 L·atm/(mol·K) * 328.15 K) / 390.0 kPa
Note: The ideal gas constant, R, has units that depend on the pressure units being used. If the pressure is given in atm, then R = 0.0821 L·atm/(mol·K). However, since the pressure given is in kPa, we will use the value of R = 8.314 L·kPa/(mol·K) instead. Make sure to adjust the units of R accordingly when using different pressure units.
Calculating this expression will give us the volume, V, in liters.