Kinetic Theory of Gases Questions and Answers

partition wall 1 mole He Po To Consider the adjacent figure a piston divides a cylindrical container into two parts The left part contains 1 mole of helium gas and the right part contains two moles of oxygen gas The initial temperatures and pressures of the gases in the left To Po chamber are To Po and the right chamber are 2 respectively as shown in the figure The piston as well as the walls of the container are adiabatic After removal of the piston gases mix homogeneously and the final pressure becomes P 4n P Find the value of n 13 2 mole 0 Po To 2

The time average of the kinetic energy of one molecule of a MP PET 1992 gas taken over a long period of time a Is proportional to the square root of the absolute temperature of the gas b Is proportional to the absolute temperature of the gas c Is proportional to the square of the absolute temperature of the gas d Does not depend upon the absolute temperature of the gas

body maintained at temperature T then energy radiated per second by black body will be 1 E 0 3 GAT4 2 E 0 7 GAT4 3 E 0 5 GAT4 4 E GAT4 18 An ideal gas is allowed to expands from volume V to 2V according to the law VP2 Constant initial temperature of the gas is T then its fina temperature will be 1 T 3 T 2 T 2 4 2T ere Tect black

When photons of wavelength 2 are incident on an isolated sphere suspended by an insulated thread the corresponding stopping potential is found to be V When photons of wavelength are used the corresponding stopping potential was thrice the above value If light of wavelength 3 is used calcu late the stopping potential for this case A hc 1 1 e 23 222 2 he 1 2 1 1 B D hc 1 1 e 23 222 22 1 22 he 1 13 12 20 hc e 23 2

57 One mole of an ideal gas undergo Po P 1 V V Here Po and Vo are constants Change in temperature of the gas when volume is changed from V Vo to V 2V is 1 3 2PV 5R 0 0 4R 2 0 0 11P V 10R 4 PV

re n dis is constant pressure The increase in internal energy of gas will be 1 80 J 5701 3 120 J 2 100 J 4 200 J 24 An ideal gas is kept in a closed container if it is transferred to a train moving with high speed then temperature of gas will 1 Increase 2 Decrease 3 Remains constant 4 May increase or decrease depending on nature of gas 25 The mean free path of molecules of gas depends on the radius of gas molecule as

The mean free path of benzene molecule is 6 x 10 6 m and average speed of molecules is 1 2 x 103 m s The collision rate of molecules is 1 3 107 s 1 2 4 x 108 S 1 3 4 107 s 1 4 2 108 S 1

Given Avogadro number N k 1 38 x 10 23 J molecule K Calculate The average kinetic energy of translation of an oxygen molecule at 27 C The total kinetic energy of an oxygen molecule at 27 C The total kinetic energy of 1 mole of oxygen gas at 27 C a b c 6 02 x 10 molecules mole and Boltzmann x 300 3x8 31x 1 38 6 2

1 One mole of argon is expanded polytropically n 1 50 In the process temperature of gas reduces by 26 K Heat absorbed by gas in kilojoule is a 0 11 b 0 22 c 0 33 d 0 50

An ideal gas in a container of dimension If v velocity of a molecule of the gas the collid frequency on the wall of container is 1 3 V IN VE V 2 2 31 4 t t t with Kolli

If the volume of the gas containing n number o moles is V then pressure will decrease due to force of intermolecular attraction in the proportion n 1 V 3 2 4 n V2 V2

3 An ideal gas is enclosed in a cylinder at pressure of 2 atm and temperature 300 K The mean time between two successive collisions is 6 10 8 s If the pressure is doubled and temperature is increased to 500 K the mean time between two mie A successive collisions will be close to a 4x 108 s c 2x 10 7 S S b 3x10 6 suit bre d 0 5 x 10 8

A gas at pressure Po is contained in a vessel If the masses of all the molecules are halved and their speeds doubled the resulting pressure would be 1 4Po 3 P 2 2P Po 4

The rms value of this current as shown in figur 10 1 49 10 10 10 T 2 A T 2 2017 0 b T s

12 If E and E denote the isothermal and adiabatic elasticities respectively of a diatomic gas then E 4 Eo 1 1 3 1 same 2 1 4 0 7

5 The change in volume V with respect to an increase in pressure P has been shown in the figure for a non ideal gas at four different temperatures T T2 T3 and T4 The critical temperature of the gas is CPMT 1986 91 a T b T c T3 d T4 P 0 0 T T T3 T4 V

Two moles of helium are mixed with n moles of hydrogen The root mean square rms speed of gas molecules in the mixture is 2 times the speed of sound in the mixture Then the value of n is a 1 b 3 c 2 d 3 2

A container is filled with a sample of gas having n molecules with speed a 2x 3x na The ratio of average speed to root mean square speed is 1 3 3 n 1 2 2n 1 5 2n 2 7 3n 1 n 1 2 12 2n 1 4 3 n 2 5 3n 2

Two isotherms of an idea temperatures T and T as shown below If Oa ab then the ratio of rms speed of gas molecules at temperature T and T is 1 1 2 45 b T V 2 1 2

130 An ideal gas mixture filled inside a balloon expands according to the relation PV2 3 constant The S temperature inside the balloon is O 1 increasing 3 constant 2 decreasing 4 can t be said 7

One mole of an ideal monoatomic gas is taken from temperature To to 2To by the process PT C Considering the following statements choose the correct alternative 1 Molar heat capacity of the gas is II Molar heat capacity of the gas is III Work done is 3RTo Work done is 3RTo A Statements I and IV are correct C Statements II and IV are correct 3R 2 3R 2 B Statements I and III are correct D Statements II and III are correct

An experiment is carried on a fixed amount of gas at different temperatures and at high pressure such that it deviates from the ideal gas behaviour The variation of PV RT with P is shown in the diagram The correct variation will correspond to CPMT 1988 a Curve A b Curve B c Curve C d Curve D PV RT 2 0t 1 0 0 0 A B C D 20 40 60 80 100 P atm

For one mole of a van der Waal s gas when b 0 and T 300 K the PV vs 1 V plot is shown below The value of the van der Waal s constant a atm liter mol 2 is Paan mol PV liter atm 24 6 23 1 21 6 20 1 a 1 0 0 1 PV Sa 1 2012 van b THER 2 0 3 0 1 V mol liter c 4 5 pl S

At 20 C temperature an argon gas at atmospheric pressure is confined in a vessel with a volume of Im The effective hard sphere diameter of argon atom is 3 10 x 10 m It mean free path is 1 100 nm 2 90 nm 3 93 6 nm 4 95 nm

An ideal gas has pressure P volume V and absolute temperature T If m is the mass of each molecule and K is the Boltzmann constant then density of the gas is KT PK B C D Pm Tm Pm KT Km PT

A gas is filled in a container at 27 C On increasing the temperature to 127 C 1 litre having mass of the gas escape out of the container Calculate the volume of the container

27 For two mole of diatomic gas work done constant pressure is W The heat supplied a constant volume for the same rise in temperatur of the gas is 3 W 2 3 2 W 1 2 5 W HEADE 2 4 W

The root mean square speed of hydrogen molecules at 300 K is 1930 m s Then the root mean square speed of oxygen molecules at 900 K will be a 1930 3 m s c 643 m s MH CET 2002 Orissa JEE 2010 b 836m s d 1930 3 m s

21 room temperature 27 C is The gas is 1 H 2 0 3 F The equation of state of a gas is given by PaT v P V 4 Cl Vc RT b where a b c and R are constants This isotherms can be represented by P AV BV where A and B depend only on temperature and 1 m c and n 1 2 m c and n 1 3 m c and n 1 4 m c and n 1 25 3 PV if the 4 3 2 PV in all c N molecules of presseure P an molecules in th kinetic energy temperature is 1 P P T 2 2 P P T 3 P 2 P 4 P 2P 2

The temperature at which the average translational kinetic energy of a molecule is equal to the energy gained by an electron in accelerating from rest through a potential difference of 1 volt is DCE 1997 a 4 6 10 K c 23 2x10 K b d 11 6 10 K 7 7 10 K

Two chambers gas at pressures in communication containing m g and m g of a and Prespectively are put with each other temperature remaining constant The common pressure reached will be a c P P m m P m Pm m m P P P m P m b d P P m P m P m m m P Pm L D

A flask contains carbon monoxide and carbon dioxide gases The partial pressures of each are 2235 psi and 1125 psi respectively What is the total pressure in the flask in psi

For 9 11 use the heating curve below The heating curve is for 8 grams of a substance Coordinates of the points indicate Q T 10 T C A B Determine meitingin D 4 Q cal d the bonoint Determine the specific heat of this substance E F A 0 20 B 767 1085 C 1159 1085 D 2222 2563 E 11262 250 F 11577 30 Boiling CATA

a A spacecraft mission goes through many different broadly defined phases Name these phases and write one sentence briefly describing each phase b Describe the concept of planetary protection and how this is invoked in space missions to exploration of potential habitable moons of Jovian system c Explain what Gantt and PERT charts are drawing attention to the key differences between them

What mass of carbon dioxide will occupy 7 2 L at 5 C and 0 74 atm

7 Problem 2 Ideal gases are often studied at standard ambient temperature and pressure SATP The International Union of Pure and Applied Chemistry IUPAC defines SATP to be 7 25 C and P 100 kPa theexperta com tracking id 1F76 E7 EE 40 A291 31085 In accordance with Expert TA s Terms of Service copying this information to any solutions sharing website is strictly forbidden Doing so may result in termination of your Expert TA Account A33 Part a At SATP which of the following is true about the number of molecules per unit volume N V of ideal gases To find the number density of an ideal gas at SATP we need to know the number of molecules of the gas To find the number density of an ideal gas at SATP we need to know the volume of the gas The number density of all ideal gasses at SATP is the same Grade Summary Deductions Potential 10 Submissions Attempts remainin 25 per attempt detailed view

5 Board A cylinder is filled with argon gas It has a diameter of 14m and a height of 20m It is stored at 45C and at 600N pressure The container is then pressurized at 90kPa and the temperature is adjusted to 250K What is the adjusted volume of the gas 1 Point 4996 m 3 4000 m 3 1353 m 3 2278 m 3

8 Board A rectangular gas container is filled with butane gas It has a length of 12m a width c 15m and a height of 009km It is stored at 733 torr pressure and a temperature of 10F The container is then moved to new location that is under 94 2 kPA pressure and 220 K What is gas in the containers new volume 1 Point 4140 m 3 1907 m 3 1480 m 3

In kinetic theory a gas of triatomic molecules can possibly have a higher internal energy than a gas of diatomic molecules because It has more degrees of freedom in its motion It has a larger moment of inertia about its center of mass It has a higher specific heat It has stronger net electromagnetic field

The temperature of a 387 milliliter sample of gas increases from 210 Kelvin to 379 Kelvin What is the final volume of the sample of gas in milliliters if the pressure and moles in the container is kept constant Please report the answer choice in 5 significant figures and include the correct unit symbol O a 648 84 mL O b 689 42 mL O c 688 64 mL O d 695 34 mL O e 698 44 mL

These are three different models of the atom GREEK PLANETARY AND QUANTUM

A sample of pure gold has a mass of 13 5 g Calculate the number of moles in the sample and gold atoms in the sample HINT a moles in the sample moles b gold atoms in the sample atoms

31 Which is an example of a free expansion of a gas O the expansion of a gas as it performs work on its container O the uncontrolled expansion of a gas into a vacuum O the expansion of a gas due to a chemical reaction among its particles O the expansion of a gas as heat is transfered to it at constant pressure

The pressure of chlorine gas is 210 kPa 70 C What is the new pressure if the temperature drops to 65 C OA 225 15 kPa OB 213 00 kPa OC 206 94 kPa OD 195 00 kPa OE 3 14 kPa

What will the pressure of N2 gas be when the volume of a balloon increases from 35 4 L at 101 0 kPa to a volume of 90 0L A 256 kPa OB 39 73 kPa OC 31 54 kPa D 3 14 kPa E 0 025 kPa

An ideal gas in a container of volume 155 cm at 23 8 C has a pressure of 167 x 1018 k 1 38 x N m2 The number of gas molecules in the container is 10 23 J K Your Answer

The rms speed of the molecules of a gas is 200 m s at a temperature 300 K What is the mass of the individual molecules O 5 66 x 10 25 k kg 1 78 x 10 25 kg 3 11 x 10 25 kg 2 45 x 10 25 kg 2 13 x 10 25 kg

What is the average kinetic energy per molecule of an ideal gas at a temperature of 300 K Boltzmann s constant is k 1 38 x 10 23 J K 1 7 x 10 21 J 2 1 x 10 21 J 6 2 x 10 21 J 8 3 x 10 21 J 4 1 x 10 21 J

Five molecules of a gas have the following speeds 200 m s 300 m s 400 m s 500 m s and 600 m s The rms speed for these molecules is 300 m s 344 m s 400 m s 424 m s 534 m s

The solar corona is a very hot atmosphere surrounding the visible surface of the sun. X-ray emissions from the corona show that its temperature is about 2 x 10^6 K. The gas pressure in the corona is about 0.03 Pa. Estimate the number density of particles in the solar corona. Express your answer in particles per meter cubed.