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Determine the volume of \({\rm{1 mol}}\)\({\rm{of}}\)\({\rm{C}}{{\rm{H}}_{\rm{4}}}\) gas at \({\rm{150 K}}\) and \({\rm{1 atm}}\), using Figure 9.12 .

Short Answer

Expert verified

The volume of 1 mol of \(C{H_4}\)is 12.5 L at 150 K temperature and 1 atm pressure..

Step by step solution

01

Defining volume

The volume of a substance is the amount of space it takes up, whereas its mass is the quantity of matter it contains.

02

Explanation

Figure \({\rm{9}}{\rm{.12}}\)depicts the relationship between methane’s volume and temperature when the quantity is \({\rm{1 mol}}\)and the pressure is\({\rm{1 atm}}\). These are the conditions that occur in the issue as well. We may easily deduce from the graph what volume of methane would fill at \({\rm{150 K}}\)under these conditions.

Therefore, therequired value is\({\rm{12}}{\rm{.5 L}}\).

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Most popular questions from this chapter

Question: Answer the following questions:

(a) If \({\rm{XX}}\) behaved as an ideal gas, what would its graph of \({\rm{Z}}\) vs. \({\rm{P}}\) look like?

(b) For most of this chapter, we performed calculations treating gases as ideal. Was this justified?

(c) What is the effect of the volume of gas molecules on \({\rm{Z}}\)? Under what conditions is this effect small? When is it large? Explain using an appropriate diagram.

(d) What is the effect of intermolecular attractions on the value of \({\rm{Z}}\)? Under what conditions is this effect small? When is it large? Explain using an appropriate diagram.

(e) In general, under what temperature conditions would you expect \({\rm{Z}}\) to have the largest deviations from the \({\rm{Z}}\) for an ideal gas?

Question: Using the postulates of the kinetic molecular theory, explain why a gas uniformly fills a container of any shape.

If the temperature of a fixed amount of a gas is doubled at constant volume, what happens to the pressure?

What is the molar mass of a gas if \(0.0494\;{\rm{g}}\) of the gas occupies a volume of \(0.100\;{\rm{L}}\) at a temperature \({26^\circ }{\rm{C}}\)and a pressure of \({\bf{307}}\) torr?

The chlorofluorocarbon CCl2F2 can be recycled into a different compound by reaction with hydrogen to produce CH2F2(g), a compound useful in chemical manufacturing: CCl2F2 (g) + 4H2 (²µ)⟶C±á2F2 (g) + 2HCl(g)

(a) Outline the steps necessary to answer the following question: What volume of hydrogen at 225 atm and 35.5 °C would be required to react with 1 ton (1.000 × 103 kg) of CCl2F2?

(b) Answer the question

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