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. In a duct in which air is flowing, a normal shock wave occurs at a Mach
number of 1.5. The static pressure and temperature upstream of the shock wave are 170 kN/m2
and 23

A bus makes a trip according to the position–time graph shown in the drawing. What is the average velocity (magnitude and direction) of the bus during each of the segments labeled A, B, and C? Express your answers in km/h.

Calculate the qauantity of heat required to raise the temperature of 1g of ice from -10c to 110c
How much ice can be melted with the heat converts 1g of water to water completely?
Ans :6.75g
Figure A shows the variation of pressure (in atm) with volume (in L) for one [3] mole of an ideal gas. Calculate the heat (QAR) and work done from state A to state B in joules (WA) if change in internal energy (AUsa) is 50 cal.
The working fluid, in a steady flow process flows at a rate of 220 kg/min.
The fluid rejects 100 kJ/s passing through the system. The conditions of the fluid at inlet and
outlet are given as : C1 = 320 m/s, p1 = 6.0 bar, u1 = 2000 kJ/kg, v1 = 0.36 m3/kg and C2 =
140 m/s, p2 = 1.2 bar, u2 = 1400 kJ/kg, v2 = 1.3 m3/kg. The suffix 1 indicates the condition at inlet
and 2 indicates at outlet of the system.
Determine the power capacity of the system in MW.
The change in potential energy may be neglected.

. A turbine, operating under steady-flow conditions, receives 4500 kg of

steam per hour. The steam enters the turbine at a velocity of 2800 m/min, an elevation of 5.5 m

and a specific enthalpy of 2800 kJ/kg. It leaves the turbine at a velocity of 5600 m/min, an elevation

of 1.5 m and a specific enthalpy of 2300 kJ/kg. Heat losses from the turbine to the surroundings

amout to 16000 kJ/h.

Determine the power output of the turbine.



In an air compressor air flows steadily at the rate of 0.5 kg/s through an

air compressor. It enters the compressor at 6 m/s with a pressure of 1 bar and a specific volume

of 0.85 m3/kg and leaves at 5 m/s with a pressure of 7 bar and a specific volume of 0.16 m3/kg. The

internal energy of the air leaving is 90 kJ/kg greater than that of the air entering. Cooling water

in a jacket surrounding the cylinder absorbs heat from the air at the rate of 60 kJ/s. Calculate :

(i) The power required to drive the compressor ;

(ii) The inlet and output pipe cross-sectional areas


. In a gas turbine unit, the gases flow through the turbine is 15 kg/s and the
power developed by the turbine is 12000 kW. The enthalpies of gases at the inlet and outlet are
1260 kJ/kg and 400 kJ/kg respectively, and the velocity of gases at the inlet and outlet are
50 m/s and 110 m/s respectively. Calculate :
(i) The rate at which heat is rejected to the turbine, and
(ii) The area of the inlet pipe given that the specific volume of the gases at the inlet is
0.45 m3/kg

A system consisting of 1 kg of an ideal gas at 5 bar pressure and 0.02 m3

volume executes a cyclic process comprising the following three distinct operations : (i) Reversible

expansion to 0.08 m3 volume, 1.5 bar pressure, presuming pressure to be a linear function of

volume (p = a + bV), (ii) Reversible cooling at constant pressure and (iii) Reversible hyperbolic

compression according to law pV = constant. This brings the gas back to initial conditions.

(i) Sketch the cycle on p-V diagram.

(ii) Calculate the work done in each process starting whether it is done on or by the system

and evaluate the net cyclic work and heat transfer.


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