(a) An ideal gas occupies a volume of 2.2 cm3 at 20°C and atmospheric pressure. Determine the number of molecules of gas in the container. (b) If the pressure of the 2.2-cm3 volume is reduced to 2.6 ✕ 10−11 Pa (an extremely good vacuum) while the temperature remains constant, how many moles of gas remain in the container?

Q: Photosynthesis by land plants leads to the fixation each year of about 1 kg of carbon on the average…

A: P, T and  mass of Carbon are given for which the volume required is to be determined.

Q: Calculate the root mean square speed of nitrogen gas molecules at 0oC degrees Celsius.  m/s

A: The question is based on the concept of gases. we have been given nitrogen gas & its…

Q: 2. At what temperature will 0.84 moles of neon gas occupy 120 cm' at 1 atmosphere?

A:

Q: What partial pressure of hydrogen results in a molarconcentration of 1.0 mmol dm3 in water at 25 oc?

A: Given data: Molarity of solution = 1 mmol/dm3 = 0.001 mol/L Temperature = 25oC  Formula used:…

Q: What is the equivalent of 6.2 x 104 ppm in %w/v ?

A: Parts per million(ppm) can be expressed as millligrams per litre of solution . %w/v can be expressed…

Q: Consider H2, D2, and H20, treated as ideal gases at pressures of 1 atm and temperatures of 293.2°K.…

A:

Q: What is the molar mass of a gas if a 0.227 g sample occupies 135 mL at 25 *C and 68.5 kPa? *

A: Ans is 60.81g/mol

Q: What is the molar mass of a gas found to have a density of 0.841 g/L at 415 K and 96.7 kPa?

A: Interpretation- molar mass of gas Concept introduction- Ideal gas equation is, PV= nRT……… (1)…

Q: What is the density of oxygen gas at 25 degree C and 120 kPa?

A:

Q: What is the height of a column of liquid in a barometer if the density of the liquid is 1.478 g/mL…

A: Formula of pressure: P = hdg Where h = height, d = density, g = acceleration due to gravity Given,…

Q: the density of an ideal gas at STP is found to be 0.901 g/L, what is its molar mass

A: At STP ANY GAS OCCUPIES 22.4 LITERS  SO VOLUME OF GAS AT STP IS 22.4 LITERS

Q: What is the root mean square speed (in m/s) of nitrogen at 26.3oC?

A: Given, Molecule  = nitrogen  (N2) Temperature = 26.3 °C =(26.3+273)K = 299.3 K

Q: The density of a sample of NH3(g) at a pressure of 1.00 atm is 0.946 g/L. What is the…

A: Given that -  Pressure of ammonia = 1.00 atm  Density of ammonia = 0.946 g/L  Temperature is -  PM =…

Q: Nitrogen gas under an initial pressure of 5.0×106 Pa at 15 ºC is contained in a cylinder of volume…

A: Given, Nitrogen gas under an initial pressure of 5.0×106 Pa at 15 ºC iscontained in a cylinder of…

Q: At what temperature will a molecule of uranium hexafluoride, the densest gas known, have the same…

A: Formula for root mean square speed of Molecule at Kelvin temperature is ; Where , T = temperature…

Q: To prevent tank rupture during deep-space travel, an engineering team is studying the effect of…

A: Number of moles = 2.00 mol  Temperature = 251 °C   ....Or  because °C + 273 = k       .....so,  251…

Q: Calculate the root-mean-square speed of molecular chlorine in m/s at 21.0°C

A:

Q: Use the ideal gas law and Dalton’s law of partial pressures to prove that the mole fraction of gas…

A:

Q: Estimate the molar volume of CO2 at 500 K and 100 atm by treating it as a van der Waals gas? a =…

A: Given pressure = 100 atm  Temperature = 500K  a= 3.610 dm⁶atm/mol²  b = 4.29×10-² dm³/mol  We have…

Q: What is the ratio of the average kinetic energy of a SO2 molecule to that of an O2 molecule in a…

A: …

Q: What is the density of N2O5 under standard temperature and pressure conditions, in g/L?

A: At standard pressure and temperature, volume of one mole of gas is 22.4 L.

Q: What is the molar mass of a gas if a 0.227 g sample occupies 135 mL at 25 °C and 68.5 kPa?

A:

Q: If He(g) has an average kinetic energy of 6750 J/mol under certain conditions, what is the root mean…

A: The root mean square velocity of gas is inversely proportional to the square root of its molecular…

Q: At what temperature would 2.10 mol N₂ exert 126.65 kPa of pressure in a 25.0 L tank?

A:

Q: A breathing mixture used by deep-sea divers contains helium, oxygen, and carbon dioxide. What is the…

A: Dalton's law: Dalton's law of partial pressures states that in a mixture of non-reacting gases, the…

Q: At 273 K and 1 atm pressure, 1 mol of an ideal gas occupies 22.4 L. In whichparts of the atmosphere…

A: Molar volume = 22.4 L

Q: 2.a)Could 131 g of xenon gas in a vessel of volume 1.0 dm3 exert a pressure of 20 atm at 25 °C if it…

A: a.

Q: On a single plot, qualitatively sketch the distribution ofmolecular speeds for (a) Kr(g) at -50 °C,…

A: The average velocity and root mean square velocity of gas molecules for a gas of molar mass M at…

Q: A domestic water-carbonating kit uses steel cylinders of carbon dioxide of volume 250 cm3 They weigh…

A: Mass of carbon dioxide is determined as shown below: 1.04 kg-0.74 kg=0.3 kg=300 g Number of moles of…

Q: what pressure is exerted by 870.2g of CH4 in a 0.630L steel container at 240.8K?

A: According to ideal gas law  PV = nRT  where P = pressure in atm  V = volume in L = 0.63 L (given) n…

Q: The density of an ideal gas at STP is found to be 1.94 g/L . What is its molar mass? molar mass:…

A: The ideal gas equation is given by: PV=nRT where P is the pressure of the gas V is the volume of the…

Q: A chemist is investigating the conversion of atmospheric nitrogen to usable form by the bacteria…

A: Given information,    1.25 g of nitrogen gas in a flask of volume 250 mL at 20 °C.         moles of…

Q: What is the volume of 4.55 x 1025 molecules of C4Hs at STP (Standard Temperature Pressure)?

A: Given T = 273 K , P = 1atm n= no of moles  = ( 4.55 x 1025 ) / 6.023 x 1023 = 75.54 moles

Q: A sample of hydrogen gas was found to have a pressure of 125 kPa when the temperature was 23 °C.…

A: It is given that a sample of hydrogen gas has a pressure of 125 kPa when the temperature is 23°C.

Q: Could 25 g of argon gas in a vessel of volume 1.5 dm3 exert a pressure of 2.0 bar at 30 °C if it…

A: The mass of the argon gas = 25 g The volume of the vessel = 1.5 dm3 The temperature of the gas = 30…

Q: 1. What will be the pressure of a sample of 48.0 g of oxygen gas in a glass container of volume 5.2…

A:

Q: Assuming ideal gas behaviour, what would be the density of gaseous cyanogen (C2N2) at 27. °C and 856…

A:

Q: Introduce the compressibility factor, which accounts for the deviation of real gases from ideal-gas…

A: Gas laws give the relation between pressure, temperature, and volume.

Q: At 200atm pressure and 273.15K, PV=17.7dm³atm for 1mol of a gas A and PV=5.6dm³atm for 1mol of gas…

A:

Q: 5. A0.005 m³ cylinder contains 2.00 mol of argon (Ar) at a pressure of 3.05 x 106 Pa (3.05 x 106…

A:

Q: At what the pressure, in atmospheres, that O2 gas at 75°C has a density of 2.00 g/L?

A: According to ideal gas law, PV = nRT where P = pressure V = volume n = moles  R = gas constant =…

Q: Mass of a vacuumed (empty) vessel of volume 5 L is 640.05 g, and mass of the same vessel filled with…

A: Number of moles of hydrocarbon can be determined using Ideal Gas Equation as follows,

Q: Photosynthesis by land plants leads to the fixation each year of about 1 kg of carbon on the average…

A: Given data,Mass of carbon=1kg%CO2 by…

Q: Chlorine can be prepared in the laboratory by the reaction of manganese dioxide with hydrochloric…

A: Given Volume of Cl2 = 285 ml Temperature = 25°C Pressure = 95 kPa

Q: To what temperature must a sample of helium gas be cooled from 22.2 °c to reduce its volume from…

A: 1.00 dm3 = 1000 cm3 By Charles law : T2T1 =V2V1  T2(22.2 + 273.15) = 100 cm31000 cm3   T2 = 29.535 K…

Q: What volume would 20.0g of CO2 occupy at a temperature of 25 °C and a pressure of 105 kPa?

A:

Q: What volume of water vapour (in L) will be produced during the production 291 L of hydrogen cyanide?…

A:

Q: What is the density of xenon gas at 750kPa and 25°C?

A: Given, Pressure = 750kPa = 750000 pa Temperature = 25°C = 273 + 25 = 298K Formula that will be used:…

Q: Mass of a vacuumed (empty) vessel of volume 5 L is 640.05 g, and mass of the same vessel filled with…

A: Number of moles of hydrocarbon can be determined using Ideal gas Equation as follows,

Kinetic-Theory of Gases

Kinetic theory of gases is the model or method which was developed in the 19th century by Maxwell and Boltzmann. This is possible as the interatomic force which is of short-range forces that are important for solids and liquids can be neglected for gases. This theory or gas law gives a molecular interpretation of the pressure and temperature of a gas and is consistent with gas laws and Avogadro’s hypothesis. This theory is very helpful to correctly explain the specific heat capacities of many gases, kinetic energy and it also explains the transport qualities such as viscosity, thermal conductivity, and diffusion with molecular parameters. As stated in the kinetic-molecular theory, the temperature of a substance or gas particle is related to the average kinetic energy of the particles of that substance. When a substance is heated, some of the absorbed energy is stored within the particles, while some of the energy increases the motion of the particles, called average kinetic energy.