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(i) Show that the equation of state of an ideal gas is still PV = RT even when the gas is heated to such a high temperature that the particles are moving at relativistic speeds. (Hint: What feature of the partition function of the ideal gas determines the gas law?).
(ii) Although the equation of state does not alter when the particles in a monatomic ideal gas start to move at relativistic speeds, show that in the formula for an adiabat, PV = constant, lambda in the relativistic limit is 4/3, rather than 5/3 as in the non-relativistic case.
An aluminum rod is 24.0 cm long at 20°C and has a mass of 350 g. If 13,500 J of energy is added to the rod by heat, what is the change in length of the rod
A 0.227-kg particle undergoes simple harmonic motion along the horizontal x-axis between the points x1 = -0.279 m and x2 = 0.469 m. The period of oscillation is 0.577 s. Find the frequency, f, the equilibrium position, xeq, the amplitude, A, the maxi..
When a tuning fork of frequency 360 Hz is held above a tube filled with water the resonances are found when the water level is at 25cm and 75cm
Water is streaming downward from a faucet opening by an area of 3.0 × 10−5 m2. It leaves the faucet by a speed of 5.0m/s. The cross-sectional area of the stream 0.50m below the faucet is:
An earth satellite revolves in a circular orbit at a height of525 km above the earth's surface. What is the radial accerlation of the satellite
A ball is thrown directly downward with an initial speed of 8.60 m/s, After what time interval does it strike the ground
Male Rana catesbeiana bullfrogs are known for their loud mating call. The call is emitted not by the frog's mouth but by its eardrums, which lie on the surface of the head. And, surprisingly, the sound has nothing to do with the frog's inflated th..
a heat engine exhausts its heat at 340degc and has a carnot efficiency of 39. what exhaust temperature would enable it
The electric field of a plane electromagnetic wave is given by: Ex = 0, Ey = 0, Ez = 2.0 cos [0.6? x 1015 (t – y/c)], with all quantities in SI units.
A rocket moves upward, starting from rest with an acceleration of 29.9 m/s2 for 3.31 s. It runs out of fuel at the end of the 3.31 s but does not stop. Evaluate how high does it rise above the ground?
A rock is dropped from a sea cliff, and the sound of it strikingthe ocean is heard 3.2 s later. If the speed of sound is340 {\rm m/s}, how high is the cliff?
Four equal charges, q=4.35C, of mass m 4.35kg are at the corner of a square of side L=0.0237m. If an equivalent charge of the same mass is placed at the origin, what is its speed at any time after it is released
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