WorksheetsB3: Kinetic Theory of ideal gases
Total questions: 10
Worksheet time: 14mins
A sample of air has a density of 1.24 kg m–3 at a pressure of 1.01 × 105 Pa and a temperature of 300 K.
the Boltzmann constant = 1.38 × 10–23 J K–1. Calculate the mean kinetic energy of an air molecule under these conditions.
6.21 × 10–21 J
4.98 × 10–32 J
3.93 × 10–18 J
1.24 × 1018 J
A sample of air has a density of 1.24 kg m–3 at a pressure of 1.01 × 105 Pa and a temperature of 300 K.
the Boltzmann constant = 1.38 × 10–23 J K–1. Calculate the mean square speed for the air molecules.
2.4 × 105 m2s–2
4.4 × 104 ms–1
8.9 × 10-3 ms–1
3.9 × 1010 ms–1
An ideal gas has a density of 2.0 kgm-3 at a pressure of 2.2 x 105 Pa and a temperature of 295 K. Calculate the root mean square speed of the gas atoms.
330 kms-1
110 000 ms-1
373 ms-1
19 ms-1
This is the
root mean square speed
mean square speed
mean square root speed
squared root mean speed
In the equation
PV=31Nmv2
what is the origin of the factor 31 ?
molecules move in 1-dimensional space
molecules move in 2-dimensional space
molecules move in 3-dimensional space
molecules move in 4-dimensional space
An ideal gas has a density of 2.0 kgm-3 at a pressure of 2.2 x 105 Pa and a temperature of 295 K. Calculate the mean square speed of the gas atoms.
330 kms-1
110 000 ms-1
373 ms-1
19 ms-1
Given the equation Ek=23kBT , calculate the temperature of Helium atoms that are able to leave the atmosphere with a speed of 1.1 x 104ms-1. The mass of an individual Helium atom is 6.6 x 10-27kg. (k = 1.38x10-23)
1.9 x 104 K
1.9 x 103 o C
1.5 x 102 K
200 K
The mean square speed of atoms of Neon gas at 273 K with density 0.900 kgm-3 is 3.4 x 105 ms-1. Calculate the r.m.s. of the same gas at 546 K.
820 ms-1
680 000 ms-1
240 ms-1
340 000 ms-1
Which assumptions are made in the kinetic theory of gases?
No forces between molecules.
Volume of molecules is negligible.
Molecules move in sync all the time.
Molecules collide inelastically with each other.
What is the graph we'll get if we plot mean kinetic energy Ek of a molecule of an ideal gas against thermodynamic temperature T ?
straight line with positive gradient
straight line with negative gradient
quadratic curve
circle
