Question
In: Physics
Taking a gas to be ideal and confined to a rigid metal box, find an expression...
Taking a gas to be ideal and confined to a rigid metal box, find an expression for how quickly the mean free path of said gas changes if the temperature is dropping cubically with time (T=T0- At^3) If the initial pressure of the gas is 105 Pa, the intermolecular radius is 2 Ångström, and the initial temperature is 325 K and drops 1 K in the first second, what is the rate of change of the mean free path with respect to time after 6 seconds?
Solutions
genius_generous answered 1 year agoRelated Solutions
The drawing shows an ideal gas confined to a cylinder by a massless piston that is...
The drawing shows an ideal gas confined to a cylinder by a
massless piston that is attached to an ideal spring. Outside the
cylinder is a vacuum. The cross-sectional area of the piston is
A = 2.50 × 10-3 m2. The initial
pressure, volume, and temperature of the gas are, respectively,
P0, V0 = 6.00 ×
10-4 m3 and T0 = 273 K,
and the spring is initially stretched by an amount
x0 = 0.090 m with respect to its...
The drawing shows an ideal gas confined to a cylinder by a massless piston that is...
The drawing shows an ideal gas confined to a cylinder by a
massless piston that is attached to an ideal spring. Outside the
cylinder is a vacuum. The cross-sectional area of the piston is A =
2.50 × 10-3 m2. The initial pressure, volume, and temperature of
the gas are, respectively, P0, V0 = 6.00 × 10-4 m3 and T0 = 273 K,
and the spring is initially stretched by an amount x0 = 0.092 m
with respect to its...
Consider a sample of ideal gas (0.50 moles) confined in a piston assembly that has diathermal...
Consider a sample of ideal gas (0.50 moles) confined in a piston
assembly that has diathermal walls (i.e. the walls allow heat
exchange). The assembly is in contact with a thermal reservoir that
holds the temperature constant at 300.K.
a) Suppose the ideal gas undergoes reversible isothermal
compression from 25.0 L to 10.0 L. Calculate ΔS, ΔSsurrounding, and
ΔStotal, where total = universe.
b) Suppose the ideal gas had instead been compressed
isothermally by an external constant pressure from 25.0...
A reversible engine contains 0.350 mol of ideal monatomic gas, initially at 586 K and confined...
A reversible engine contains 0.350 mol of ideal monatomic gas,
initially at 586 K and confined to a volume of 2.42 L . The gas
undergoes the following cycle:
⋅ Isothermal expansion to 4.74 L
⋅ Constant-volume cooling to 252 K
⋅ Isothermal compression to 2.42 L
⋅ Constant-volume heating back to 586 K
Determine the engine's efficiency in percents, defined as the
ratio of the work done to the heat absorbed during the
cycle.
0.1 kg of air (ideal gas) is contained in a closed, rigid tank of volume 0.04...
0.1 kg of air (ideal gas) is contained in a closed, rigid tank
of volume 0.04 m^3 at 500 K. A paddle wheel stirs the air and
transfers energy to the air at a constant rate of 1 kW for 100s.
The temperature of the air increases to 600 K.
(a) What is the final pressure of the air (kPa)
(b)Calculate the heat transfer (kJ) for the process (use a
constant, average specific heat)
0.1 kg of air (ideal gas) is contained in a closed, rigid tank of volume 0.04...
0.1 kg of air (ideal gas) is contained in a closed, rigid tank
of volume 0.04 m^3 at 500 K. A paddle wheel stirs the air and
transfers energy to the air at a constant rate of 1 kW for 100s.
The temperature of the air increases to 600 K.
(a) What is the final pressure of the air (kPa)
(b)Calculate the heat transfer (kJ) for the process (use a
constant, average specific heat)
5. Consider a particle in a two-dimensional, rigid, square box with side a. (a) Find the...
5. Consider a particle in a two-dimensional, rigid, square box
with side a. (a) Find the time independent wave function
φ(x,y)describing an arbitrary energy eigenstate. (b)What
are the energy eigenvalues and the quantum numbers for the three
lowest eigenstates? Draw the energy level diagram
A monoatomic, ideal gas in a sealed, rigid container is heated until its temperature rises from...
A monoatomic, ideal gas in a sealed, rigid container is heated
until its temperature rises from 50oC t0
100oC. If the initial pressure is 1 atm., find the final
pressure.
One mole of a diatomic (rigid rotator) ideal gas has an initial volume of 1 L...
One mole of a diatomic (rigid rotator) ideal gas has an initial
volume of 1 L and temperature of 400 K (state A). First the gas
undergoes an isometric process such that the final pressure is 4
times the initial pressure (state B). It then expands isothermally
back to the initial pressure (state C). Then it is compressed
isobarically back to its original state.
1. Draw a PV diagram illustrating the above cycle. On the
diagram indicate where the 3...
Derive an expression for the most probable translational energy for an ideal gas. Compare your results...
Derive an expression for the most probable translational energy
for an ideal gas. Compare
your results to the mean translational energy for the same
gas.
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