For a fixed volume of gas, how does the pressure change as temperature increases, and why?

Pressure increases . The molecules have higher kinetic energy , so they move about more and collide more with the container walls, creating more pressure.

For a gas at constant pressure, what happens to its volume as temperature increases, and why?

The volume increases . The molecules have higher kinetic energy , so they move further apart, expanding to create a bigger volume.

At constant temperature, how are the pressure and volume of an ideal gas related?

Pressure and volume are inversely proportional . A smaller volume gives a smaller container surface area, so there are more collisions, creating more pressure.

For an ideal gas, the product of pressure and volume is directly proportional to the .......... temperature.

For an ideal gas, the product of pressure and volume is directly proportional to the thermodynamic temperature.

True or False? For an ideal gas at constant volume, doubling the temperature in degrees Celsius doubles the pressure.

False. The proportionality only holds using thermodynamic temperature (kelvin) , not degrees Celsius.

The Boltzmann constant is very .......... because the increase in kinetic energy of a molecule is very small for every incremental increase in temperature.

The Boltzmann constant is very small because the increase in kinetic energy of a molecule is very small for every incremental increase in temperature.

True or False? The molar gas constant R and the Boltzmann constant k must be memorised for the exam.

False. Both R and k are given on the equation sheet in the exam.

A LevelPhysicsCambridge (CIE)Flashcards15. Ideal GasesEquation of State

Equation of State (Cambridge (CIE) A Level Physics): Flashcards

Exam code: 9702

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FrontIdeal Gases
Define an ideal gas.

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Cards in this collection (12)

Define an ideal gas.
An ideal gas is one which obeys the relation $p V \propto T$ , where p is pressure, V is volume and T is thermodynamic temperature.
For a fixed volume of gas, how does the pressure change as temperature increases, and why?
Pressure increases.
The molecules have higher kinetic energy, so they move about more and collide more with the container walls, creating more pressure.
For a gas at constant pressure, what happens to its volume as temperature increases, and why?
The volume increases.
The molecules have higher kinetic energy, so they move further apart, expanding to create a bigger volume.
At constant temperature, how are the pressure and volume of an ideal gas related?
Pressure and volume are inversely proportional.
A smaller volume gives a smaller container surface area, so there are more collisions, creating more pressure.
For an ideal gas, the product of pressure and volume is directly proportional to the .......... temperature.
For an ideal gas, the product of pressure and volume is directly proportional to the thermodynamic temperature.
True or False?
For an ideal gas at constant volume, doubling the temperature in degrees Celsius doubles the pressure.
False.
The proportionality only holds using thermodynamic temperature (kelvin), not degrees Celsius.
State the ideal gas equation in terms of the number of moles n.
$p V = n R T$
where R is the molar gas constant (8.31 J K^-1 mol^-1)
State the ideal gas equation in terms of the number of molecules N.
$p V = N k T$
where k is the Boltzmann constant
Define an ideal gas.
An ideal gas is a gas which obeys the equation of state $p V = n R T$ at all pressures, volumes and temperatures.
Define the Boltzmann constant.
The Boltzmann constant, k, relates the microscopic properties of particles (e.g. kinetic energy) to their macroscopic properties (e.g. temperature): $k = \frac{R}{N_{A}}$ , equal to 1.38 × 10^-23 J K^-1.
The Boltzmann constant is very .......... because the increase in kinetic energy of a molecule is very small for every incremental increase in temperature.
The Boltzmann constant is very small because the increase in kinetic energy of a molecule is very small for every incremental increase in temperature.
True or False?
The molar gas constant R and the Boltzmann constant k must be memorised for the exam.
False.
Both R and k are given on the equation sheet in the exam.

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