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partition which separates it into two subsystems; the first subsystem has
a volume of 0.4 V0 and contains one mole of an ideal gas at 300 K, while
the other is evacuated. Calculate the entropy change in the gas during
the process of its (free) expansion on removing the partition.
Find the flux through a spherical Gaussian surface of radius a = 1 m surrounding a charge of 8.85 pC.
partition which separates it into two subsystems; the first subsystem has
a volume of 0.4 V0 and contains one mole of an ideal gas at 300 K, while
the other is evacuated. Calculate the entropy change in the gas during
the process of its (free) expansion on removing the
δn(x) =(n, |x| < 1/2n,
0, |x| > 1/2n.)
This wave form is the pulse shown in Fig. 19.10.
(a) Expand δn(x) as a Fourier cosine series.
(b) Show that your Fourier series agrees with a Fourier expansion of δ(x) in the limit
as n →∞.
Consider an isolated system that contains two pieces of copper separated by an (internal) insulating wall. Initially, the first piece is at 500K and the second is at 300K. Calculate the entropy change in the system when the insulating wall is removed; assume that each piece has half a mole of copper in it. Given: Specific heat capacity of Cu is
CP = 22.6JK−1mol−1
. [Hint: S is an extensive state function].
(b) What is the entropy change of the universe ? Comment whether the process is reversible/irreversible ?
(c) Repeat your calculations for a molar heat capacity which is a function of T: CP = 22.6 + 6.28e − 03 T Jmol−1 K−1
How does the equilibrium T change for such a CP ? Can you justify it ?
How much work is being done(in J), due to gravity as the spring is being compressed
How much work is being done(in J), by the spring as the spring is being compressed
Determine the speed of the clay just before it hit the spring in m/s
Find the maximum compression of the spring, in cm, if the initial speed of the clay doubled
Find the gained potential energy in (J)
Find the average power in (W)
As the child reaches the end, his speed is 12 m/s and the distance traveled along the slide is 108 m. Find the mechanical energy, in (J), lost by the child is sliding down the slide.
During sliding his speed is 12m/s and the distance traveled along the slide is 108 m. Determine the average frictional force, in(N) acting on the boy
(i) Calculated the lowest energy of the electron.
(ii) Calculate the wavelength of the photon emitted when the electron makes a
transition from the first excited state to the ground state.
(iii) In which region of the EM spectrum does this wavelength lie?
