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WorksheetsA2 Physics Ideal Gases
Total questions: 20
Worksheet time: 28mins
For an ideal gas several assumptions are made about the particles including
they collide elastically with each other and the container wall
they experience significant intermolecular forces
the volume they occupy as individual particles is insignificant compared to the volume of the container
there are a very large number of particles inside the container
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
In the equation of state for an ideal gas pV = nRT
n = number of particles in the gas
p = pressure of the gas
R = the molar gas constant 8.31 JK-1mol-1
T = temperature in degrees celcius
This is the
root mean square speed
mean square speed
mean square root speed
squared root mean speed
Rewriting the equation of state gives : pV = NkT
where:
N = the number of moles x 6.022 x 1023
V = volume occupied by the gas
T = temperature in degrees celsius
k = 1.38 x 10-2 JK-1
Given the equation Ek = 3/2 kT, 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
For an ideal gas at constant temperature and density ρ what effect would doubling the density have on the mean square speed?
none
mean square speed would double
mean square speed would halve
mean square speed would quadruple
For an ideal gas at constant temperature and pressure p at volume V, what affect would halving the pressure have on the volume?
volume would double
volume would halve
volume would triple
none
For an ideal gas trapped inside a container of fixed volume, which of these statements is true?
all particles are moving rapidly and randomly
particles exchange momentum with the wall over very short time frames
all particles are moving idly and haphazardly
the particle volume accounts for most of the space in the container
Select all true statements
nR = Nk
NA = 6.022 x 1023
k = R/NA
3/2RT = NAEk
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.
570 ms-1
110 000 ms-1
373 ms-1
19 ms-1
Which of the following is the ideal gas equation?
pV = nRT
pT = nRV
pR = nRV
pn = VRT
How many atoms are there in a mole of helium gas?
6.02 × 1013
6.02 × 1023
1.20 × 1014
1.20 × 1024
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.
A bar of gold has a mass of 1.00 kg. Calculate the number of moles of gold in the bar. (Relative atomic mass of gold = 197.)
1.97 × 10−3 mol
0.197 mol
5.08 mol
5.08 × 10−3 mol
In the equation
pV=31Nm<c2>
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
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
The following gases are at the same temperature. Which molecule will have the slowest r.m.s. speed?
hydrogen
carbon dioxide
oxygen
helium
A bar of gold has a mass of 1.00 kg. Calculate the number of atoms of gold in the bar. (Relative atomic mass of gold = 197.)
3.1 × 1024
3.06 × 1024
5.08 × 1023
3.08 × 1022
