consider a room of 15m x 15m x 5 m. If the pressure in the room...

Question

Question

consider a room of 15m x 15m x 5 m. If the pressure in the room is 101 kPa and the temperature is 35°C, what is the mass of the air in the room?

Answer 1

Answer #1

Given data ,

Pressure , P = 101 KPa

Temperature , T = 35 C = 35 +273 = 308 K

Volume , V = 15*15*5 = 1125 m^3

We know from gas equation ,

PV = m R T

m = PV/ RT

m= (101 * 1125 ) / (0.287 * 308 ) [ for air , gas conscent ,R = 0.287 KJ/Kg K ]

m = 1285.40 Kg

Hence mass of the air in the room is 1285.40 Kg

Answer 2

Similar Homework Help Questions

Please write clearly and explain the process step-by-step. Thanks! 4. A 5-m x 5-m x 3-m...

Please write clearly and explain the process step-by-step. Thanks! 4. A 5-m x 5-m x 3-m room contains air at 25 C and 100 kPa at a relative humidity of 75 percent. Determine (a) the partial pressure of dry air, (b) the specific humidity, (c) the enthalpy per unit mass of the dry air, and (d) the masses of the dry air and wa ater vapor in the room.
An apartment has a living room whose dimensions are 3.0 m x 5.5 m x 6.3...

An apartment has a living room whose dimensions are 3.0 m x 5.5 m x 6.3 m. Assume that the air in the room is composed of 79% nitrogen (N2) and 21% oxygen (O2). At a temperature of 22 °C and a pressure of 1.01 x 105 Pa, what is the mass (in grams) of the air? Unit Num ЬеґТо"097524e3
A room is 6.8 m by 4.2 m by 3 m. (a) If the air pressure...

A room is 6.8 m by 4.2 m by 3 m. (a) If the air pressure in the room is 1 atm and the temperature is 294 K, find the number of moles of air in the room (b) If the temperature rises by 5 K and the pressure remains constant, how many moles of air leave the room?

A room contains air at 20 C and a total pressure of 95 kPa with a...

A room contains air at 20 C and a total pressure of 95 kPa with a relative humidity of 40 percent. The gas constant for air is 0.287 kJ/(kg-K). The mass of dry air in the room is 30 kg. What is the volume of the room in m3 :
The air in a room is at 25 °C and a total pressure of 101.325 kPa...

The air in a room is at 25 °C and a total pressure of 101.325 kPa . Air contains water vapor with a partial pressure of 1.76 kPa. a. Calculate the air humidity and relative humidity. b. Since you intend to use this air for drying fre sh fruits you plan to heat up the air to 50°C. Once you accomplish that, what would be the new relative humidity of the air if the moisture content is maintained? c. Intuitively...
x=90 5.1 MPa pressure and 500 oC temperature and x m/s air enters a turbine. 150...

x=90 5.1 MPa pressure and 500 oC temperature and x m/s air enters a turbine. 150 kPa pressure rises at 150 oC temperature and 250m / s speed. Since the sectional area is 80 square centimeters; (x is the percentage of each student's number based on the last digit. For example, for 20171061 it is 100 °C. If your number is greater than 3, multiply by 10.) a. Mass flow of air b. The power produced by the turbine c....

A 900 m3 room contains moist air at 33°C, 102 kPa. The partial pressure of water...

A 900 m3 room contains moist air at 33°C, 102 kPa. The partial pressure of water vapor is 2 kPa. Determine the dew point temperature, in °C.
(25 pts) A well-insulated and well-sealed 2-m x 3-m x 4-m room is initially at Tal...

(25 pts) A well-insulated and well-sealed 2-m x 3-m x 4-m room is initially at Tal = 22 °C and p = 100 kPa. A mass of mw = 20 kg of liquid water at Tw./ = 80 °C is brought into the room and the system is allowed to reach equilibrium conditions (state 2). 2m x 3m x 4m ROOM 22°C 100 kPa Specific heat values for the air and water may be taken as Cp,air = 1.005 kJ/kg-K;...
If a heater supplies 1.5×106 J/h to a room 3.5 m x 4.6 m x 3.0...

If a heater supplies 1.5×106 J/h to a room 3.5 m x 4.6 m x 3.0 m containing air at 18 ∘C and 1.0 atm, by how much will the temperature rise in one hour, assuming no losses of heat or air mass to the outside? Assume air is an ideal diatomic gas with molecular mass 29 g/mol.

QUESTION 7 A 4m X 5m X 6m room is to be heated by a baseboard...

QUESTION 7 A 4m X 5m X 6m room is to be heated by a baseboard resistance heater. It is desired that the resistance heater be able to raise the air temperature in the room from 7 to 23°C within 15 min. Assuming no heat losses from the room and an atmospheric pressure of 100 kPa, determine the required power of the resistance heater. Assume constant specific heats at room temperature. Use R= 0.278 kJ/kg.K Cp=1.005 kJkgk Cv 0.718 kJ/kg.K...