Answered: re of the 1.6-cm3 volume is reduced to…

re of the 1.6-cm3 volume is reduced to 2.0 ✕ 10−11 Pa (an extremely good vacuum) while the temperature remains constant, how many moles of gas remain in the container?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter16: Temperature And The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 28P

See similar textbooks

Related questions

Q: If I have an unknown quantity of gas held at a temperature of 365 K in a container with a volume of…

Q: If I have an unknown quantity of gas at a pressure of 1.2 atm, a volume of 31 liters, and a…

A: P = 1.2 atm = 1.2 atm ×101.3 kPa1 atm =121.56 kPa V = 31 L T = 87 0C = 87 + 273 = 360 K R = 8.31…

Q: an initial volume of an ideal gas is compressed to one-half its original volume, and to twice its…

A: According to question we need to find--- what happens to the pressure after change ?

Q: Two small containers, each with a volume of 1.00 x 102 cm3, contain helium gas at 0°C and 1.00 atm…

Q: How many molecules of an ideal gas are there in 1.0 m3 at 1.0 Pa and and 100 °C? a) 1.0 × 1020 b)…

A: Given data: Volume (V) = 1.0 m3 Pressure (P) = 1.0 Pa Temperature (T) = 100 °C Required: Number of…

Q: Three moles of an ideal monatomic gas expand at a constant pressure of 3.00 atm ; the volume of the…

A: a) PV=nRTTinitial=PVinitialnR=3×3×10-23×8.2057338 × 10-5=365.5980164 K

Q: 1.00 mole of an ideal gas occupying 2.00 L is maintained at a constant temperature. An external…

A: Given: The initial volume is 2 L. The final volume of the gas is 0.1 L. The external pressure is 6…

Q: The lowest pressure attainable using the best available vacuum techniques is about…

Q: The density of helium gas at 0°C is Po = 0.179 kg/m. The temperature is then raised to T = 150°C,…

A: Consider the ideal gas equation is, PV=nRTIf P is constant: Then V is proportional to T. Then,…

Q: Find the number of moles of a certain ideal gas whose volume temperature and pressure are 3.00L,…

Q: An industrial firm supplies compressed air cylinders of volume 0.25 m3 filled to a pressure of 20 ×…

A: PV=nRT n=PVRT

Q: A cylinder contains 24.0 moles of an ideal gas at a temperature of 300 K. The gas is compressed at…

A: Solution:-

Q: A tank of volume 0-2 m3 contains helium gas at a temp. of 300 K and pressure 10 N/m2. Find the…

Q: 2. (13.24) In an internal combustion engine, air at atmospheric pressure and a temperature of about…

A: #2 Given data: The initial pressure is P1=1 atm. The initial temperature is T1=20oC. The…

Q: A bicycle tire contains 2.00 L of gas at an absolute pressure of 7.00 × 105 N/m2 and a temperature…

Q: A scuba diver releases a 3 cm diameter air bubble from a depth of 14.0 m. Assuming the temperature…

A: As per our answering guidelines, we will be answering the first question. Kindly post the second…

Q: If 3.8 molesof an ideal gas is at a temperature of65°Cand contained in a0.27ˍm³volume, then what…

Q: The initial temperature of neon that behaves as ideal gas is 377 K. If the change in average kinetic…

Q: A spherical balloon of volume 4000 cm3 contains helium at an (inside) pressure of 1.20 x 105 Pa. How…

Q: A 5.00-mol sample of oxygen gas is confined to a pressure of 5 atm at a temperature of 27 degrees…

A: The translational kinetic energy can be given by Kavg=32kBT

Q: The pressure of sulfur dioxide (SO2) is 2.44 x 104 Pa. There are 433 moles of this gas in a volume…

A: Given: The pressure of the gas is 2.44x104 Pa. The volume of the gas is 58.5 m3. The number of the…

Q: A gas occupies 4.50 L at 55.0°C. What is the temperature of the gas when its volume expands to 9.00…

Q: A fixed amount of monotonic ideal gas starts at 6.0 m3 and 6.0 × 105 Pa and exactly 0 °C when it is…

A: Initial Volume,v1= 6.0 m3 Final Volume,v2= 8.0m3 Given Pressure= 6.0 × 105 Pa Initial Temp, T1=…

Q: 3.00 moles of an ideal gas at a pressure of 250 kPa are held in a container of volume of 25.0 L. The…

A: Given, n = 3 moles P = 250 kPa = 2.47 atm V = 25 L As we know from the ideal gas equation, P V =…

Q: n ideal gas occupies a volume of 100cm^3 at 20°C and 100 Pa. Find the number of moles of gas in the…

A: Given The volume of gas is V=100 cm3=100×10-6 m3. The temperature of gas is T=20°C=20+273 K=293 K.…

Q: What is the total translational kinetic energy of the gas molecules of 0.4200 mol of air at…

Q: 1. Steam enters a nozzle at 400°C and 800 kPa with a velocity of 10 m/s, and leaves at 300°C and 200…

A: Given values- Initial pressure=P1=800 kPaInitial temperature=T1=4000CInitial velocity=V1=10…

Q: Suppose that an ideal gas in a sealed metal container (so it has a fixed volume) has its temperature…

A: ideal gas in sealed container volume is fixed that is volume =constant ideal gas equation is PV=nRT…

Q: A spherical balloon of volume 3.95 x 103 cm3 contains helium at a pressure of 1.15 x 105 Pa. How…

A: The given values are,

Q: One mole of an ideal gas initially at a temperature of T; = 5.2°C undergoes an expansion at a…

A: Given data The initial temperature is Ti=5.2oC=278.2 K The pressure is P=1 atm=101325 N/m2 The final…

Q: The density of helium gas at 0°C is ρ0 = 0.179 kg/m3. The temperature is then raised to T =…

A: Density is the ratio of the mass to the volume of the gas. The density of the gas is depends on the…

Q: On a chilly 20◦F day you take a deep breath, filling your lungs with a volume of 4L. The air warms…

Q: the air inside contains 14% oxygen, which is somewhat smaller amount than in fresh air. Assuming…

A: Given, Pressure P = 1.00 ×105 Pa radius of alveoli R = 0.125 mm Temperature T = 310 K percentage of…

Q: A spherical balloon of volume 4.05 103 cm3 contains helium at a pressure of 1.23 105 Pa. How many…

A: It is given that,

Q: What is the rms speed of nitrogen molecules contained in a 13 m³ volume at 4.2 atm if the total…

Q: For an ideal gas, when both the pressure and volume are each halved, then the (Kelvin) temperature…

A: Given data: An ideal gas Final pressure (T2) = (T1)/2 Final volume (V2) = (V2)/2 Required: The…

Q: A spherical balloon of volume 4.07 x 10 cm³ contains helium at a pressure of 1.21 X 10° Pa. How many…

A: Given: The volume of the gas is 4.07x103 cm3. The pressure of the gas is 1.21x105 Pa. The average…

Q: In a period of 1.1 s, 5.0 x 1023 nitrogen molecules strike a wall of area 9.0 cm². If the molecules…

A: Apply Newton's second law,Force exerted by the wall on the molecules can be written as, F =…

Q: A spherical balloon of volume 4000 cm3 contains helium at an (inside) pressure of 1.20 x 100 Pa. How…

A: We know the relation between pressure (P) and average kinetic energy per unit volume (ε) of gas is…

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: If during an expansion process the volume of a gas changes from 0.2 to 0.5 m^3 and pressure changes…

A: v1=.2 m3v2=.5 m3P=1500v100+1 PawNow work done W=∫v1v2Pdv

Q: When the temperature of an idel gas is quadrupled, while the absolute pressure is quartered. The…

A: According to the ideal gas equation P v = n R T where, P is the pressure, V is the volume, T is the…

Q: A quantity of gas has initial pressure and volume of 0.1MN/m2 and 0.1 m3 , respectively. It is…

Q: 20 cm3 bulb contains 0.02 moles of ideal gas at a temperature of 270C.Calculate the pressure inside…

Q: atmospheric pressure is 1.00 x 105 Pa, while the surface temperature can reach 320 K. These data…

Q: 2 mol of an ideal monoatomic gas moves from State 1 to State 2 P at constant pressure 1000 Pa and…

A: We have a monoatomic gas of n=2 mol in a isobaric process at pressure P=1000 Pa from volume V1=2 m3…

Q: A metal rod is 30.725 cm long at 10°C and 30.743 cm long at 65°C. What is the average coefficient of…

Q: A tire with an inner volume of 0.025 m^3 is filled with air at a gauge pressure of 36psi. If the…

A: Given volume of 0.025 m^3 and gauge pressure of 36psi. We have to find what volume outside of the…

Q: A 2500cm^3 container holds 0.13 mol of helium gas at 300 degrees Celsius. How much work must be done…

A: Given Number of moles is n=0.13 Gas constant is R=8.314 J/mol.K Temperature is T=(300+273) K=573 K

Concept explainers

Ideal Gas Law

Ideal gas law states that the product of pressure and volume of a gas directly varies with the product of the number of moles, the universal gas constant, and the temperature of the gas.

Question

If the pressure of the 1.6-cm³ volume is reduced to 2.0 ✕ 10⁻¹¹ Pa (an extremely good vacuum) while the temperature remains constant, how many moles of gas remain in the container?

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

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, physics and related others by exploring similar questions and additional content below.

Similar questions

A popular brand of cola contains 6.50 g of carbon dioxide dissolved in 1.00 L of soft drink. If the evaporating carbon dioxide is trapped in a cylinder at 1.00 atm and 20.0C, what volume does the gas occupy?
Cylinder A contains oxygen (O2) gas, and cylinder B contains nitrogen (N2) gas. If the molecules in the two cylinders have the same rms speeds, which of the following statements is false? (a) The two gases haw different temperatures. (b) The temperature of cylinder B is less than the temperature of cylinder A. (c) The temperature of cylinder B is greater than the temperature of cylinder A. (d) The average kinetic energy of the nitrogen molecules is less than the average kinetic energy of the oxygen molecules.
A cylinder with a piston holds 0.50 m3 of oxygen at an absolute pressure of 4.0 atm. The piston is pulled outward, increasing the volume of the gas until the pressure drops to 1.0 atm. If the temperature stays constant, what new volume does the gas occupy? (a) 1.0 m3 (b) 1.5 m3 (c) 2.0 m3 (d) 0.12 m3 (e) 2.5 m3
One cylinder contains helium gas and another contains krypton gas at the same temperature. Mark each of these statements true, false, or impossible to determine from the given information. (a) The rms speeds of atoms in the two gases are the same. (b) The average kinetic energies of atoms in the two gases are the same. (c) The internal energies of 1 mole of gas in each cylinder are the same. (d) The pressures in the two cylinders ale the same.
Two cylinders A and B at the same temperature contain the same quantity of the same kind of gas. Cylinder A has three times the volume of cylinder B. What can you conclude about the pressures the gases exert? (a) We can conclude nothing about the pressures. (b) The pressure in A is three times the pressure in B. (c) The pressures must be equal. (d) The pressure in A must be one-third the pressure in B.
A cubic container of volume 2.00 L holds 0.500 mol of nitrogen gas at a temperature of 25.0 . What is the net force due to the nitrogen on one wall of the container? Compare that force to the sample's weight.
At what temperature is the average speed of carbon dioxide molecules ( M=44.0 g/mol) 510 m/s?
A gas is at 200 K. If we wish to double the rms speed of the molecules of the gas, to what value must we raise its temperature? (a) 283 K (b) 400 K (c) 566 K (d) 800 K (e) 1 130 K
A cylinder that has a 40.0-cm radius and is 50.0 cm deep is filled with air at 20.0C and 1.00 atm (Fig. P10.74a). A 20.0-kg piston is now lowered into the cylinder, compressing the air trapped inside as it takes equilibrium height hi (Fig. P16.74b). Finally, a 25.0-kg dog stands on the piston, further compressing the air, which remains at 20C (Fig. P16.74c). (a) How far down (h) does the piston move when the dog steps onto it? (b) To what temperature should the gas be warmed to raise the piston and dog back to hi?
An ideal gas is enclosed in a cylinder with a movable piston on top of it. The piston has a mass of 8 000 g and an area of 5.00 cm2 and is free to slide up and down, keeping the pressure of the gas constant. How much work is done on the gas as the temperature of 0.200 mol of the gas is raised from 20.0C to 300C?
Fifteen identical particles have various speeds: one has a speed of 2.00 m/s, two have speeds of 3.00 m/s, three have speeds of 5.00 m/s, four have speeds of 7.00 m/s, three have speeds of 9.00 m/s, and two have speeds of 12.0 m/s. Find (a) the average speed, (b) the rms speed, and (c) the most probable speed of these particles.