Constants I Periodic Table The ideal gas law, discovered experimentally, is an equation of state that relates the observable state variables of the gas--pressure, temperature, and density (or quantity per volume): Part A Find the magnitude of the average force (F) in the x direction that the particle exerts on the right-hand wall of the container as it bounces back and forth. Assume that collisions between the wall and particle are elastic and that the position of the container is fixed. Be careful of the sign of your answer. pV = NKBT (or pV = nRT), where N is the number of atoms, n is the number of moles, and R and kB are ideal gas constants such that NA kB, where N, is Avogadro's number. In this problem, you should use Boltzmann's constant instead of the gas constant R. Express the magnitude of the average force in terms of m, vz, and Lg. • View Available Hint(s) Remarkably, the pressure does not depend on the mass Vη ΑΣφ ? Figure 1 of 1 (F.) = Submit Part B L. Imagine that the container from the problem introduction is now filled with N identical gas particles of mass m. The particles each have different x velocities, but their average x velocity squared, denoted (vž), is consistent with the Equipartition Theorem. Find the pressure p on the right-hand wall of the container. L Express the pressure in terms of the absolute temperature T, the volume of the container V (where V = L„LyL¿), kB, and any other given quantities. The lengths of the sides of the container should not appear in your answer.
Constants I Periodic Table The ideal gas law, discovered experimentally, is an equation of state that relates the observable state variables of the gas--pressure, temperature, and density (or quantity per volume): Part A Find the magnitude of the average force (F) in the x direction that the particle exerts on the right-hand wall of the container as it bounces back and forth. Assume that collisions between the wall and particle are elastic and that the position of the container is fixed. Be careful of the sign of your answer. pV = NKBT (or pV = nRT), where N is the number of atoms, n is the number of moles, and R and kB are ideal gas constants such that NA kB, where N, is Avogadro's number. In this problem, you should use Boltzmann's constant instead of the gas constant R. Express the magnitude of the average force in terms of m, vz, and Lg. • View Available Hint(s) Remarkably, the pressure does not depend on the mass Vη ΑΣφ ? Figure 1 of 1 (F.) = Submit Part B L. Imagine that the container from the problem introduction is now filled with N identical gas particles of mass m. The particles each have different x velocities, but their average x velocity squared, denoted (vž), is consistent with the Equipartition Theorem. Find the pressure p on the right-hand wall of the container. L Express the pressure in terms of the absolute temperature T, the volume of the container V (where V = L„LyL¿), kB, and any other given quantities. The lengths of the sides of the container should not appear in your answer.
Transcribed Image Text:Constants I Periodic Table
The ideal gas law, discovered experimentally, is an
equation of state that relates the observable state
variables of the gas--pressure, temperature, and density
(or quantity per volume):
Part A
Find the magnitude of the average force (F) in the x direction that the particle exerts on the right-hand wall of the
container as it bounces back and forth. Assume that collisions between the wall and particle are elastic and that the
position of the container is fixed. Be careful of the sign of your answer.
pV = NkgT (or pV = nRT),
where N is the number of atoms, n is the number of
moles, and R and kB are ideal gas constants such that
R= NAKB, where NA is Avogadro's number. In this
problem, you should use Boltzmann's constant instead of
the gas constant R.
Express the magnitude of the average force in terms of m, væ, and Læ.
View Available Hint(s)
Remarkably, the pressure does not depend on the mass
?
Figure
1 of 1
(Fa) =
Submit
Part B
Imagine that the container from the problem introduction is now filled with N identical gas particles of mass m. The
particles each have different x velocities, but their average x velocity squared, denoted (v), is consistent with the
Equipartition Theorem.
Find the pressure p on the right-hand wall of the container.
Lx
Express the pressure in terms of the absolute temperature T, the volume of the container V (where
V = LaLyL2), kB, and any other given quantities. The lengths of the sides of the container should not
appear in your answer.
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