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3. an engineer is studying the behaviour of a gaseous mixture...

# Question: an engineer is studying the behaviour of a gaseous mixture...

###### Question details

An engineer is studying the behaviour of a gaseous mixture in a steel container of volume 0.5m3$0.5\phantom{\rule{thinmathspace}{0ex}}{\text{m}}^{3}$. To create the mixture, the engineer releases individual gases into the container one at a time. The container starts out empty. Following the addition of a gas to the mixture, the engineer uses instrumentation to measure the pressure in the container. Firstly, a certain amount of carbon dioxide is fed into the container. A pressure measurement is taken and the sensor outputs a reading of 130kPa$130\phantom{\rule{thinmathspace}{0ex}}\text{kPa}$. Secondly, an amount of neon is fed into the same container. The pressure now reads 360kPa$360\phantom{\rule{thinmathspace}{0ex}}\text{kPa}$. Thirdly, an amount of methane is fed into the same container. The pressure now reads 400kPa$400\phantom{\rule{thinmathspace}{0ex}}\text{kPa}$. The final temperature of the gaseous mixture is 150oC${150}^{o}\text{C}$. Assume that the gases comprising the mixture behave ideally.

Determine the partial pressures of each component gas in the final mixture.

PCO2${P}_{C{O}_{2}}$ =   [kPa]

PNe${P}_{Ne}$ =   [kPa]

PCH4${P}_{C{H}_{4}}$ =   [kPa]

Calculate the total mass of the final mixture in the container.

m$m$ =   [kg]

At its final state, with reference to the compressibility factor chart and reduced Pressures and Temperatures, determine if it is appropriate to treat the component gases in the final mixture as ideal or whether using a compressibility factor is required. Justify your decision in no more than 3 sentences in your uploaded working.

Is the assumption valid for CO2$C{O}_{2}$ (Yes/ No)?

Is the assumption valid for Ne$Ne$ (Yes/ No)?

Is the assumption valid for CH4$C{H}_{4}$ (Yes/ No)? ###### Solution by an expert tutor 