Working from first principles, derive an expression for the
stagnation temperature of a perfect gas, in...
Working from first principles, derive an expression for the
stagnation temperature of a perfect gas, in terms of flight
velocity, specific heat at constant pressure and the ambient
temperature.
Working from first principles, derive an expression for the
efficiency of an Otto Cycle engine in terms of compression ratio.
Sketch the P-V diagram for this cycle and annotate it using the
same station numbers used in your derivation. State why the
efficiency must be less than that of the Carnot Cycle.
Working from first principles, derive an expression for the
nozzle exit velocity for an ideal ramjet in terms of: the flight
velocity; the peak-post-combustor stagnation temperature; the
ambient stagnation temperature. State any assumptions you use.
Please show working out and describe what is
done
Derive formula in terms of respective
paraneters
From first principles, derive the expression for the measurement
of time as observed from a reference inertial frame S' moving at a
relativistic speed v in the x direction to another inertial frame
S
Derive from the first principles an expression for the
reflection coefficient in term of
surge impedance of incident line, Z1 and the transmitted line,
Z2.
Derive an expression for the reversible isothermal work done on
n moles of gas at
temperature T if the volume changes from V1 to V2 and the gas
obeys van der Walls’ equation.
4.
(a) Derive an integral expression for the probability of a gas
molecule of mass m, at temperature T is moving
faster than a certain speed vmin.
(b) A particle in the atmosphere near the earth’s surface
traveling faster than 11 km/s has enough kinetic energy to escape
from the earth’s gravitational pull. Therefore, molecules in the
upper atmosphere will escape if they do not have collisions on the
way out. The temperature of the upper atmosphere is about 1000K....
A Carnot cycle uses 1.00 mol of a monoatomic perfect gas as the
working substance from an initial state of 10.0 atm and 600 K. It
expands isothermally to a pressure of 1.00 atm (step 1), and then
adiabatically to a temperature of 300 K, (step 2). This expansion
is followed by an isothermal compression (step 3), and then an
adiabatic compression (step 4) back to the initial state. Determine
the values of q, w, ÄU, ÄH, ÄS, and ÄSsurr...
Derive an expression of the mean free path of a gas molecule
assuming a hard sphere collision. Calculate the ratio of the mean
free path of CO molecules in a vessel at a pressure P1=10-4 Torr at
300 K to that at a pressure P2=10-9 Torr at the same temperature.
(CO molecules d =0.73nm)