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Elliptic cylinder

Elliptic cylinder

Mathematical Methods in the Physical Sciences

COORDINATE TRANSFORMATIONS; TENSOR…

General curvilinear coordinates
A spherical balloon with a diameter of $9 \mathrm{m}$ is filled with helium at $27^{\circ} \mathrm{C}$ and 200 kPa. Determine the mole number and the mass of the helium in the balloon. Answers: $30.6 \mathrm{kmol}, 123 \mathrm{kg}.$

A spherical balloon with a diameter of $9 \mathrm{m}$ is filled with helium at $27^{\circ} \mathrm{C}$ and 200 kPa. Determine the mole number and the mass of the helium in the balloon. Answers: $30.6 \mathrm{kmol}, 123 \mathrm{kg}.$

Thermodynamics: An Engineering Approach

Questions asked

INSTANT ANSWER

Fresh water is pumped from the lower pool to the upper pool with a volume flow of 0.03m3/s. The height difference between the pools is 45m and the surface of both pools is affected by the same amount of atmospheric pressure (1bar) and the air temperature is 20°C. If the electric power taken by the pump's electric motor from the grid is 20KW Then calculate the amount of heat lost to the environment?

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INSTANT ANSWER

Steam flows into the steam turbine at 45 kg/s at a temperature of 535°C and a pressure of 116 bar. Steam flows out of the turbine at a temperature of 200°C and a pressure of 3 bar to the district heat exchanger. Calculate a) power b) isentropic efficiency

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ANSWERED

Rahul Kumar verified

Numerade educator

The heat engine operates between temperatures TL=100°C and TH=1000°C. The amount of heat energy transferred from the higher heat storage is QH=169.68Mj and the amount of heat energy coming to the lower heat storage is QL=49.68Mj Write the energy balance of the heat engine and calculate a) thermal efficiency? b) the theoretical maximum efficiency of the heat engine? c)work done?

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ANSWERED

Ankur S verified

Numerade educator

There is 0.1 kg of air in the cylinder. The piston moves and does work isothermally in the air so that the pressure at the beginning is 800 kPa and at the end 100 kPa. The volume changes accordingly from 0.08 m3 to 0.64 m3. Calculate the absolute value of the volume change work done in units of kJ with one decimal place?

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ANSWERED

Amna Khalid verified

Numerade educator

1 kg of water (x=0.2) is heated at constant pressure (P=200 kPa) until the temperature rises to 400 °C. Calculate the volume change work done by water vapor (answer kJ)

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ANSWERED

Timothy James verified

Numerade educator

The piston in the cylinder moves so that PV=constant. At the beginning, the pressure in the cylinder is 200 kPa and its volume is 2 m3. If the pressure drops to 100 kPa, then calculate the volume change work done by the gas? (give the answer to one decimal place in units of kJ )

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INSTANT ANSWER

The ceiling of the room (3 m x 3 m x 2.8 m) has a fan and light. The power of the fan is 10 W and the lamps 14 W. If the fan and the lamp are left on for 8 h during the working day and the room (P=1 bar) is assumed to be well insulated, then what is the temperature of the room after the working day if it was 20 °C at the beginning? (give the answer in degrees Celsius )

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ANSWERED

Rahul Kumar verified

Numerade educator

The temperature of the steam flowing into the steam turbine is 500 °C and 10 bar. After expansion, the steam flows out at a pressure of 0.5 bar and a temperature of 200 °C. If the work done by the turbine is 20 MW, then what is the isentropic efficiency of the steam turbine? (give answer in percentage)

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ANSWERED

Mukesh Devi verified

Numerade educator

The steam flows into the turbine at a temperature of 500 °C and a pressure of 12 bar. If the steam flows out isentropically at a pressure of 0.05 bar, then what is the vapor content of the steam coming out of the turbine? (give answer in percentage)

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ANSWERED

Rahul Kumar verified

Numerade educator

The mass flow rate of the steam (600 °C, 6 MPa) flowing into the steam turbine is 27.5 kg/s. After expansion, the steam flows out at a speed of 180 m/s at a pressure of 0.5 MPa and a temperature of 200 °C. If the work done by the turbine is 20 MW, then calculate the heat loss to the environment (30 °C)? whats the answer in kW?

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