Worksheet: Ideal Gases

In this worksheet, we will practice describing the properties of ideal gases in which particles have zero volume and collide elastically.

Q1:

Which of the following statements is incorrect?

  • AThe entropy of a system always increases with an increase in temperature under either constant-volume or constant-pressure conditions.
  • BIn cyclic thermodynamic processes, it is always true that the net changes in internal energy ( Δ 𝑈 ), entropy ( Δ 𝑆 ), and enthalpy ( Δ 𝐻 ) of a system are zero (i.e., Δ 𝑈 = Δ 𝑆 = Δ 𝐻 = 0 n e t n e t n e t ).
  • CIn reversible adiabatic processes, it is always true that Δ 𝑆 = 0 and Δ 𝑈 = 𝑤 (work).
  • DAn isothermal expansion of an ideal gas always gives Δ 𝑈 > 0 and Δ 𝑆 = 0 .

Q2:

At a fixed temperature and pressure, which of the following quantities is not the same for samples of H e ( ) g and N e ( ) g ?

  • AAverage kinetic energy of atoms
  • BMolar heat capacity
  • CCompressibility
  • DAverage speed of atoms
  • EMolar concentration

Q3:

If gas X behaves like an ideal gas, which of the following accurately depicts the relationship between its pressure ( 𝑃 ) and compressibility factor ( 𝑍 ) ?

  • A
  • B
  • C
  • D

Q4:

Which of the following graphs incorrectly depicts the relationship between two properties of an ideal gas?

  • A
  • B
  • C
  • D
  • E

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