A container with volume 1.64 L is initially evacuated. Then it is filled with 0.226 g of N2. Assume that the pressure of the gas is low enough for the gas to obey the ideal-gas law to a high degree of accuracy. If the root-mean-square speed of the gas molecules is 182 m/s, what is the pressure of the gas?

A container with volume 1.64 L is initially evacuated. Then it is filled with 0.226 g of N2. Assume that the pressure of the gas is low enough for the gas to obey the ideal-gas law to a high degree of accuracy. If the root-mean-square speed of the gas molecules is 182 m/s, what is the pressure of the gas?

Related questions

Q: Two moles of an ideal gas are placed in a container whose volume is 3.1 x 10-3 m3. The absolute…

A: number of moles, n = 2 Volume, V = 3.1 x 10-3 m3 Pressure, P = 5.5 x 105 Pa

Q: Three moles of an ideal gas are in a rigid cubical box with sides of length 0.340 mm. a) What…

Q: If He gas has an average kinetic energy of 6790 J/mol under certain conditions, what is the root…

A: To find the root mean square, we use formula Vrms = RTM here, Vrms is RMS…

Q: Helium gas is in a cylinder that has rigid walls. If the pressure of the gas is 4.00 atm, then the…

A: Given:RMS speed of the helium gas at 4 atm pressure = 176 m/s

Q: A cylinder containing ideal gas is sealed by a piston that is above the gas. The piston is a…

Q: Estimate the fraction of molecular volume to the actual volume occupied by oxygen gas at STP. Take…

A: Diameter of an oxygen molecule, d = 3 Å Radius, r =d/2 = 1.5 Å = 1.5 × 10 – 8 cm

Q: Suppose there is a sample of xenon in a sealed rectangular container. The gas exerts a total force…

A: Given data : Force exerted by the gas (F) = 5.95 N Dimension of…

Q: A particular sample of gas has an RMS velocity of 4.4 x 10 m/s. Determine the temperature of this…

A: Given data : RMS velocity(V)=4.4×10^4 m/s Mass(m)=3.346×10^-27kg To calculate: Temperature of the…

Q: What is the RMS speed (in m/s) of a gas molecule, with mass 3.26x10-26 kg at a temperature of 97…

A: Given thatmolecular mass=3.26×10-26 kg1 mole=6.022 × 1023 molecular entitiesmolar mass…

Q: 25 g of dry ice (solid CO2) is placed in a container which has an initial volume 2.00 x 10^4 cm^3,…

A: Given that,Dry ice : m = 25 (g)Volume of container : V = 2×104 (cm3)…

Q: Five molecule of a gas have speeds, 1,2,3,4 & 5 km/s. The value of the root mean square speed of the…

Q: Suppose some nitrogen gas is contained in a cylinder whose volume is 0.00830 m³. The pressure in the…

A: Volume (V) = 0.00830 m3Pressure (P) = 3.44×106 Pascals Temperature (T) = 39oC = 312 Kelvin

Q: The R.M.S. speed of the molecules of a gas at N.T.P. is 420 m/s. If the mass of each molecule is 6.8…

A: We have to compute-No. of molecules (n)=?Provided data-RMS speed (C)=420 m/sPressure (P)=105…

Q: A 5.00 L vessel contains nitrogen gas at 24.0°C and a pressure of 2.80 atm. Find values for the…

A: Volume of the vessel V=5.00 L =5.00×10-3m3 temperature T=24.0oC=24+273=297K pressure…

Q: A sealed container with volume V= 89.0m3 is filled with n= 6.00 x 103mol of oxygen gas (O2) at an…

Q: Problem 6: Suppose a 26.5°C car tire contains 3.5 mol of gas in a 32.5 L volume. Part (a) What is…

Q: You are using a 680 W microwave to heat 700 ml of olive oil. If the initial temperature of the oil…

A: Microwave radiation causes rotational transitions in the molecules. By absorbing microwave…

Q: A gas flows through a square conduit. At one point along the conduit sides are 0.100m. the velocity…

Q: What will its pressure be, in pascals, if you let out an amount of air that has a volume of 105 cm3…

A: We know that the ideal gas equation as PV = nRTn= PVRTwhere P is pressure of the ideal gass V is the…

Q: 200 grams of an ideal gas are kept in a tank at a temperature of 20°C. The gauge pressure in the…

A: Given data as per question M = 200gm T = 293K P = 15KPa

Q: A 7.00-L vessel contains 3.50 moles of ideal gas at a pressure of 1.60 x 106 Pa. Find (a) the…

A: Given:Volume of vessel (V) = 7.0 LNumber of moles (n) = 3.5 molesPressure in vessel on gas (P) =…

Q: Two containers are at the same temperature. The first contains gas with pressure p1, molecular mass…

Q: A container with 24 L of nitrogen gas at 2 atm and another container with 12 L of oxygen gas at 2…

A: The number of moles of nitrogen and and oxygen are given by nnitrogen=PVnitrogenRTnoxygen=PVoxygenRT

Q: container with volume 1.64 L is initially evacuated. Then it is filled with 0.246 g of N₂. Assume…

A: Volume of container, V = 1.64 L=> Mass of N2 gas, m = 0.246 g=> Root mean square speed of the…

Q: A 7.00-L vessel contains 3.50 moles of ideal gas at a pressure of 1.60 × 106 Pa. Find (a) the…

Q: 25 g of dry ice (solid CO2) is placed in a container which has an initial volume 2.00 x 10^4 cm^3,…

Q: A cylinder contains a mixture of helium and argon gas in equilibrium at a temperature of 184° C. The…

A: Solution:-Given thatBoltzmann's constant(k)=1.38066×10-23 J/KAvagadro's number (N)=6.02×1023…

Q: Oxygen (O2) gas at 273 K and 1.0 atm is confined to a cubical container 10 cm on a side. Calculate…

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 7.00-L vessel contains 3.50 moles of gas at a pressure of 1.60 × 106 Pa. Find (a) the temperature…

A: Given: Volume of vessel (V) = 7.0 L. Moles of gas (n) = 3.5 moles. Pressure of gas (P) = 1.6×106 Pa.

Q: The figure below shows a gas contained in a vertical piston–cylinder assembly. A vertical shaft…

Q: What is the root mean squared velocity of Nitrogen gas at room temperature (295 K)? The mass of N2…

Q: The gas law for an ideal gas at absolute temperature 7 (in kelvins), pressure P (in atmospheres),…

Q: 1.88 moles of an ideal gas are placed in a container whose volume is 4.88 x10−3 m3. The absolute…

Q: Below the surface of the sea water where the pressure is P=2.45x10^5 Pa and the temperature i 5C, a…

A: Write the ideal gas equation

Q: Suppose a 2.5 g oxygen gas is in a 4 L container. Assume the diameter of oxygen is 3.55 Angstroms.…

A: Mass of oxygen in container m = 2.5 g = 2.5 x 10-3 kg VVolume of container V = 4 L = 4 x 10-3 m…

Q: Problem 5: n = 3.9 moles of an ideal gas are pumped into a chamber of volume V = 0.094 m3. Part…

A: (a) The initial pressure of a gas is, P1=1 atm=1.013×105 Pa The initial temperature of gas from the…

Q: Helium gas is in a cylinder that has rigid walls. If the pressure of the gas is 2.00 atm, then the…

A: Given: V1rms=176 m\s P1=2.00 atm Formula used: vrms=3kTm T=vrms2m3k PV=nRt

Q: Two moles of an ideal gas are placed in a container whose volume is 8.6 x 103 m. The absolute…

Q: The mean free path of molecules of a gas, (radius 'r ') is inversely proportional to :

Question

A container with volume 1.64 L is initially evacuated. Then it is filled with 0.226 g of N₂. Assume that the pressure of the gas is low enough for the gas to obey the ideal-gas law to a high degree of accuracy. If the root-mean-square speed of the gas molecules is 182 m/s, what is the pressure of the gas?

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