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A gaseous system expands from volume v1 to v2 under isobaric conditions. Calculate the work done in the process.
iv) Write Mayer’s formula. The molar heat capacities of a gas at constant pressure
and constant volume are 28.8 J mol−1
K−1
and 20.5 J mol−1
K−1
respectively.
Calculate the gas constant
Consider a classical linear oscillator with
E=(P2/2M) + BX2 or E= PSQUARE/2M + BXSQUARE
where b is a constant. Assuming that the oscillator is in thermal equilibrium with a
heat reservoir at temperature T, calculate (i) the mean kinetic energy, (ii) the mean
potential energy for an assembly of N such oscillators.
A gas in a close container is heated with 10 joules of energy causing the lid of the container
To rise 2 meters with 3 newton net force what is the total change in energy of the system?
a. The molar heat capacities of a gas at constant pressure
and constant volume are 28.8 J mol−1
K−1
and 20.5 J mol−1
K−1
respectively.
Calculate the gas constant.
In an ideal rankine cycle, steam is generated at 4.1 MPa and 480 degrees C. The condenser is at 32 degrees C. Determine (a) The ideal pump work. (b) The cycle thermal efficiency, (c) For an engine with the same end states, determine its thermal efficiency, steam rate, and map, (d) considering the engine only, assume the brake engine efficiency to be 78%, the generator efficiency to be 92%, the steam flow rate 163,300 kg/hg; compute the output of the combined unit.
A rankine cycle has the following operating conditions, steam pressure, 2.5 MPa, steam temperature, 280°C, Exhaust pressure 0.026 MPa, indicated steam rate, 5.45 kg/kwh, mechanical efficiency, 90%. For ideal cycle and engine, calculate (a) thermal efficiency, (b) The engine steam rate, (c) The actual condition of exhaust steam, and (d) The steam flow rate in kg/h for 1 Mw generator output at 94% efficiency. Ans. (a) 28.6%, 28.5%; (b) 4.69 kg/kwh; (c) 86.33%; (d) 6447 kg/h
Write Mayer’s formula. The molar heat capacities of a gas at constant pressure
and constant volume are 28.8 J mol−1 K−1 and 20.5 J mol−1 K−1 respectively.
Calculate the gas constant.
A gaseous system expands from volume V1 to V2 under isobaric conditions.
Calculate the work done in this process.
Using the Laplace formula, calculate the velocity of sound for air. Given g = 1.4,
r = 1.29 kg m−3 and p = 1.01 × 105 Nm−2.
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