A resistance heater is to raise the air temperature in the room (dimensions 4 m x 5 m x 6 m) from 5°C to 25°C within 11 min. Calculate the required power of the resistance heater. 4x5x6 m 5°C AIR We Assume that air is an ideal gas and the room is air-tight (no air can leak out or into the room). The initial pressure of the air is 100 kPa. The gas constant of air is R = 0.287 kPa m³/(kg K). Also, cv = 0.718 kJ/(kg K) for air at room temperature (assume the specific heat is constant in the considered range of temperatures).

A resistance heater is to raise the air temperature in the room (dimensions 4 m x 5 m x 6 m) from 5°C to 25°C within 11 min. Calculate the required power of the resistance heater. 4x5x6 m 5°C AIR We Assume that air is an ideal gas and the room is air-tight (no air can leak out or into the room). The initial pressure of the air is 100 kPa. The gas constant of air is R = 0.287 kPa m³/(kg K). Also, cv = 0.718 kJ/(kg K) for air at room temperature (assume the specific heat is constant in the considered range of temperatures).

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: quantity (volume) of saline water in a steam generator. The hea line water in the steam generator to…

A: Given Data : Heat energy(Q)=1525 KJ T1=250C=25+273=298 KT2=1140C=114+273=387 K Density of…

Q: lower the temperature of nitrogen. Assume that ses have constant specific heat values: gen 1.042…

Q: B. Calculate the work necessary to compress air in an insulated cylinder from a volume of 0.1699 m³…

A: Given:V1=0.1699 mV2=0.03398 m3T=10°CP=206.842 kPak=1.4

Q: 6. 308 Moles of He has pressurized to 17167kPa at 20*C cylinder 20cm diameter at 1m^3 20*C water…

A: Given: Number of moles of He→n=308 mol Temperature of the He→T=20°C=293.15 K Diameter of the…

Q: Assume that a particular body has the equation of state U = NCT with NC 10 J/K and assume that this…

A: GivenU=NCTNC=J/KT1=300KT2=0.5K

Q: Consider a ballon of 20 metrer diameter that carries three people, 70 kg each (see Figure 3). When…

Q: A thermometer reading 75° is taken out where the temperature is 20°F. The reading is 30°F four…

A: Given data: Thermometer reading, To=75°F Temperature recorded, Ts=20°F The temperature recorded…

Q: temperature T are 100 kPa and 27° C respectively. C, respectively. The ambient pressure P and of air…

Q: 20,000 J of heat is supplied to a 5 kg mass. If the temperature rises from 20oC to 30o C, calculate…

Q: Mercury has a uniform coefficient of expansion Select one: O True O False

Q: H4: A body at a temperature of 50° F is placed outdoors where the temperature is 100° F. If after 5…

Q: Two vessels of different shape and sizes are connected by means of a pipe with a valve. Vessel A has…

Q: Determine the quantity (volume) of saline water in a steam generator. The heat energy of 1576 kJ is…

Q: A rigid 0.5 m³ tank initially contains saturated liquid water at 200°C. A valve on the bottom of the…

A: Given: The volume of the tank, V = 0.5m³ The temperature of saturated liquid water, Tsat = 200ᵒC The…

Q: Determine the MW and specific heat ratio of a gas whose Cv=1.386 kJ/kg.K and R= 0.485 kJ/Kg.K…

Q: The instruction booklet for your pressure cooker indicates that its highest setting is 11.3 psipsi .…

Q: s to warm up from 10 C to 20 C in a room whose temperature is 30 C. Assuming Newton's law of…

A: Given:t1=15 min =15*60t1=900 secTb=10°CT1=20°CT∞=30°CT2=25°C

Q: A mass of 300kg of oil is cooled in 1 hour from 70 celcius to 35 celcius in a cooler consisting of a…

Q: 1 kg of Oxygen has initial volume of 2 x 10° cm³ is heated at Isobaric process from 298 K to 200°C.…

Q: Q4/ How much heat is required to raise the temperature of 30 Kg air in the room from 5c'to 20c'when…

Q: Steam enters a diffuser steadily at 300 kPa and 300 °C having a velocity of 80 m/s. The inlet…

Q: An electric immersion heater is put into a sample of water of mass m. The water is heated from its…

A: Given, Water system having mas m. initial temperature of water Ti final temperature of water Tf.…

Q: A piston-cylinder with 25 grams of saturated water within. Is kept at a pressure of 300 kpa. A…

Q: When the the cold junction of certain thermocouple was maintained at 20°C , its natural temperature…

Q: In a quasi-static isobaric expansion, 550 J of work are done by the gas. If the gas pressure is 0.30…

Q: How much more time(minutes) needs to pass to reach 47°C.

Q: The piston with frictionless cylinder as shown contains 1kg steam at 200kPa and 500°C. The setup is…

Q: All air is removed (vacuumed) from a 2 liter closed container that contains 200 ml of Liquid A and…

Q: ermined, it is found out that the gauge pressure is 35.7 kgf/cm2 and the temperature is 21°C. If the…

Q: 5. A 0.350 kg metal ball at an unknown initial temperature is dropped into a Styrofoam cup…

Concept explainers

Properties of Pure Substances

A substance with fixed chemical composition throughout is called a pure substance like water, air, and nitrogen. A pure substance does not have to be a single element or compound. A mixture of two or more phases of a pure substance is also a pure substance as long as the chemical composition is the same for all phases. These substances mainly have a constant/ uniform composition. The substances also have fixed boiling and melting points. A pure substance takes part in a chemical reaction to form predictable products.

Question

A resistance heater is to raise the air temperature in the room (dimensions 4 m x 5 m x 6 m) from 5°C
to 25°C within 11 min. Calculate the required power of the resistance heater.
4x5x6 m³
5°C
AIR
We
Assume that air is an ideal gas and the room is air-tight (no air can leak out or into the room). The
initial pressure of the air is 100 kPa.
The gas constant of air is R = 0.287 kPa m³/(kg K). Also, cy = 0.718 kJ/(kg K) for air at room
temperature (assume the specific heat is constant in the considered range of temperatures).

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Two vessels of different shape and sizes are connected by means of a pipe with a valve. Vessel A has a diameter of 4 ft and the length is 1.8 m at the given pressure gauge of 1476.4 in Hg and temperature of 82°F. Another vessel spherical in shape contains the same gas at 15,000 torr gauge and 18°C. The valve is opened and when the properties have been determined, it is found out that the gauge pressure is 35.7 kg;/cm² and the temperature is 21°C. If the barometric pressure is 755 mm Hg, find the following: 1. Volume of Vessel A in in3 2. Pressure at Vessel A in psia 3. Temperature at Vessel A in °R 4. Pressure at Vessel B in psia 5. Temperature at Vessel B in °R 6. Pressure of the gas when mixed in psia 7. Temperature of the gas when mixed in °R 8. Atmospheric pressure in psi Main Question: What is the diameter of the spherical tank in inches if the gas is carbon dioxide?
The pressures at the inlet and exit of an air compressor are 2 bar and 7 bar respectively. Theinlet temperature is 20 degree C the volume at the beginning of compression is three times thatat the end of compression Calculate the temperature of the air at outlet and the increase ofinternal energy per kg of air.Urgent pls
4
1 kg of air has initial volume of 2 x 109 mm3 is heated at Isobaric process from 298 K to 200°C. Calculate (i) ratio of specific heats (ii) heat transfer in ‘kJ’ (iii) work transfer in ‘kJ’(iv) change in internal energy in ‘kJ’ (v) volume after heating (vi) pressure before heating in ‘bar
1 kg of air has initial volume of 2 x 109 mm3 is heated at Isobaric process from 298 K to 200°C. Calculate (i) ratio of specific heats (ii) heat transfer in ‘kJ’ (iii) work transfer in ‘kJ’(iv) change in internal energy in ‘kJ’ (v) volume after heating (vi) pressure before heating in ‘bar’.
Initial condition: P = 0.7 MPaT = 250oCm = 5 kgProcess: IsobaricFinal condition: vapor = 3.5 kgRequired: Heat
I need the answer as soon as possible
For a gas of volumes Vi = 9.50 10-4 m3 and Vf = 1.40 10-4 m3 and pressures Pi = 2.00 106 Pa and Pf = 2.05 107 Pa, answer the following.For an isobaric process at Pi, find the internal energy change of the gas during this process.For an isovolumetric process at Vi, find the internal energy change of the gas during this process.
An open cylinder of air has a radius of 38.0 cm and a height of 50.0 cm, as shown in figure (a). 50.0 cm The air pressure is 1.00 atm and the temperature is 13.5°C. A 25.0 kg piston is then lowered onto the cylinder, forming an airtight seal, as shown in figure (b). The air inside is compressed until the piston reaches equilibrium (mechanical and thermal), and at this point the piston is a height h; from the bottom of the cylinder. Lastly, a 27.5 kg dog steps onto the piston, and the air in the cylinder again compresses, as show in figure (c). After reaching equilibrium, the air inside is again at 13.5°C, and the height of the piston decreases a distance Ah as shown. (a) What is the distance Ah (in mm) that the piston moves when the dog is on it? mm (b) To what temperature (in °C) should the gas be warmed to raise the piston and the dog back to h;? °C