A physics lecture room at 1.00 atm and 27.0C has a volume of 216 m3. (a) Use the ideal-gas law to estimate the number of air molecules in the room. Assume that all of the air is N2. Calculate (b) the particle density—that is, the number of N2 molecules per cubic centimeter— and (c) the mass of the air in the room.

A physics lecture room at 1.00 atm and 27.0C has a volume of 216 m3. (a) Use the ideal-gas law to estimate the number of air molecules in the room. Assume that all of the air is N2. Calculate (b) the particle density—that is, the number of N2 molecules per cubic centimeter— and (c) the mass of the air in the room.

Related questions

Q: It is observed that the density of an ideal gas increases by 10 percent when compressed isothermally…

Q: cylinder, a piston is let free to move so that the gas slowly expands in such a way that its…

A: given that,A cylinder with initial volume V contains a sample of a gas at pressure p.On one end of…

Q: Avogadro's law: A mole of any gas occupies 022414 Determine (i) the universal gas constant and (ii)…

Q: What would the pressure ? of an ideal gas be if the mean free path was 1.30×102 cm? Assume that the…

A: The expression for the mean free path is written as, Here, λ, R, T, d, NA and P represent the mean…

Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

A: Adiabetic process does not exchange heat from system to surrounding or surrounding to system.

Q: Two moles of an argon gas are at a temperature of 350 K. Calculate the average kinetic energy per…

A: number of moles (n) = 2 Temperature (T) = 350 kelvin

Q: 2.52 moles of an ideal gas are placed in a container whose volume is 8.17 x10−3 m3. The absolute…

Q: An 18.0 L container holds 16.0 g of oxygen gas (O2) at 45.0 °C. (a) Look up the molar mass of oxygen…

A: One mole of oxygen gas O2 weighs 32.0 g. Thus, 1 g of O2 contains 132 mole. Thus, 16 g of O2…

Q: Write the ideal gas law in terms of the mass density 17.1 (measured in kg/m³) of the gas. At 0 °C…

Q: The pressure in interplanetary space is estimated to be of the order of 10^-14 Pa. Calculate: A)…

A: Part (A) By the ideal gas equation, Here n is number of moles, N is the number of molecules, V is…

Q: Q. 18 : The speed of molecules are given by 2 m/s, 3 m/s, 4 m/s, 5 m/s, and 6 m/s. The mean square…

A: Given, Let the speed of molecules are given by v1 = 2 m/s v2 = 3…

Q: (a) An ideal gas occupies a volume of 2.4 cm3 at 20°C and atmospheric pressure. Determine the number…

A: The ideal gas equation is given by: PV=nRT, where P is pressure, V is volume, Tis temperature, and n…

Q: A 5.80-L vessel contains 3.60 moles of ideal gas at a pressure of 1.60 ✕ 106 Pa. (a) Find the…

A: (a) Apply the Ideal gas equation. PV = nRT T = PV/nR = [(1.60 ✕ 106)(0.00580)]/[(3.6)(8.3142)]…

Q: Question 2. 1.60 x 106 Pa. Find (a) the temperature of the gas and (b) the average kinetie energy of…

Q: The volume of an ideal gas in a closed system is directly proportional to the number of gas…

Q: One cubic meter (1 m³) of mono-atomic ideal gas, is initially at room temperature and atmo- spheric…

A: Hello, since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: (a) Find the temperature of the gas. (b) Find the average kinetic energy of a gas molecule in the…

A: The temperature of the gas can be determined by,PV=nRT⇒T=PVnR The Volume occupied by this gas is…

Q: Three moles of an argon gas are at a temperature of 305 K. Calculate the average kinetic energy per…

A: (a) Calculate the average kinetic energy per atom. KE=32kT =38.313052 = 3801.83 J Hence, the…

Q: A container with volume 0.2 m³ contains of 2.5 moles of oxygen gas. Given that the mola mass of…

A: No of moles, n= 2.5 moles Volume= 0.2 m3 Molar mass of oxygen = 16 g/mol or 16 x 10-3 kg/mol

Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

A: Given data:

Q: In the lungs the respiratory membrane separates tiny sacs of air (pressure 1.00*10^5 Pa) from the…

A: To solve this question we will consider that the alveoli is spherical in shape. According to ideal…

Q: b) A 10 m³ container contains an ideal gas and under a pressure of 3.5 atm is placed in room…

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question(c)…

Q: What is the value of the compressibility factor, Z. when the volume of 1 mol of a real gas is…

A: Given, The volume of 1 mol of a real gas is smaller than that of 1 mol of an ideal gas at constant…

Q: Compute (a) the number of moles and (b) the number of molecules in 6.1 cm3 of an ideal gas at a…

A: Given Data : The volume of the ideal gas is given as V=6.1 cm3 The pressure of the gas is given as P…

Q: Initially, the translational rms speed of a molecule if an ideal gas is 560 m/s. The pressure and…

Q: 4. This problem explores "effusion", the process by which gas in a container leaks out of a small…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: A sealed cubical container 30.0 cm on a side contains a gas with three times Avogadro's number of…

Q: The viscosity (η) of a gas depends on its mass, effective diameter, and average molecular velocity…

A: viscosity of helium = 2 * 10-5 kg/ms viscosity of methane = 1.1 * 10-5 kg/ms effective diameter of…

Q: A 5.80-L vessel contains 3.60 moles of ideal gas at a pressure of 1.60 ✕ 106 Pa. (a) Find the…

A: PV = nRT T=PVnR T=5.8*10-3*1.6*1063.6*8.31 T= 310.202K

Q: A mass m of helium gas is contained in a container of constant volume V, with a pressure P and…

Q: How many molecules are present in a sample of an ideal gas that occupies a volume of 1.70 cm3, is at…

A: Volume of the gas V = 1.7 cm3 =1.7×10-6 m3Temperature of gas T = 200C = 293 KPressure of the gas P =…

Q: The most probable speed for molecules of a gas at 296 K is 263 m/s. What is the molar mass of the…

Q: A sample of argon gas is at a pressure of 1.5 x 105 Pa and a temper- ature of 350 K. (a) Determine…

A: Pressure, P = 1.5 x 105 Pa Temperature T = 350 K By Gas law, PV = nRT 1.5 x 105 V = n x 8.31 x 350…

Q: A spherical weather balloon is designed to inflate to a maximum diameter of 17.0 m at its working…

Q: How many moles are there in a cubic meter of an ideal gas at 100 degree celsius (C) to 4 digits of…

A: Volume of ideal gas (V) = 1 m3Temperature (T) = 100oC = 100+273.15 k = 373.15 k Pressure (P) = 0.25…

Q: uced in the cell nucleus to reach the walls of the cell at a distance 1.00um, corresponding to the

A: Given as, D=1.0×10-11m2s-1, r=1.0 μm=10-6m.

Q: (a) 0.3740 moles of krypton gas is placed in a 9.75 L container at 239 K. Find the pressure of the…

A: Solution:-Given thatnumber of moles of krypton gas (n)=0.3740 molesVolume of gas (V)=9.75…

Q: Compute (a) the number of moles and (b) the number of molecules in 8.6 cm³ of an ideal gas at a…

Q: В. A bubble of air is rising from the sea floor, from a depth of about 500 m. At this depth the…

A: The given values are, P1=5.1×106 Pa=50.3 atmT1=7.0° C=7.0+273 K=280 KP2=Patm=1 atmT2=20° C=20+273…

Q: Calculate: (a) the number of moles in 1.00 m3 of gas at STP, and (b) the number of liters of gas per…

Question

A physics lecture room at 1.00 atm and 27.0C has a volume
of 216 m3. (a) Use the ideal-gas law to estimate the number of
air molecules in the room. Assume that all of the air is N2. Calculate
(b) the particle density—that is, the number of N2 molecules per cubic
centimeter—
and (c) the mass of the air in the room.

Definition Definition Any of various laws that describe the ways in which volume, temperature, pressure, and other conditions correlate when matter is in a gaseous state. At a constant temperature, the pressure of a particular amount of gas is inversely proportional with its volume (Boyle's Law) In a closed system with constant pressure, the volume of an ideal gas is in direct relation with its temperature (Charles's Law) At a constant volume, the pressure of a gas is in direct relation to its temperature (Gay-Lussac's Law) If the volume of all gases are equal and under the a similar temperature and pressure, then they contain an equal number of molecules (Avogadro's Law) The state of a particular amount of gas can be determined by its pressure, volume and temperature (Ideal Gas law)

Expert Solution