Chapter 9 – Kinetic Theory of Gases
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The number density of molecules of a gas depends on their distance r from the origin as, n(r)=n0e^−αr4 Then the total number of molecules is proportional to :
11
Sep
The number density of molecules of a gas depends on their distance r from the origin as, n(r)=n0e^−αr4 Then the total number of molecules is proportional to : n(r)=n0e^−αr4 Then the total number of molecules is proportional to : The number density of molecules of a gas depends on their distance r from the origin [...]
Two moles of helium gas is mixed with three moles of hydrogen molecules (taken to be rigid). What is the molar specific heat of mixture at constant volume ? (R = 8.3 J/mol K)
11
Sep
Two moles of helium gas is mixed with three moles of hydrogen molecules (taken to be rigid). What is the molar specific heat of mixture at constant volume ? (R = 8.3 J/mol K) Two moles of helium gas is mixed with three moles of hydrogen molecules (taken to be rigid). What is the molar [...]
One mole of ideal gas passes through a process where pressure and volume obey the relation p = p0[1-1/2(V0/V)^2]. Here P0 and V0 are constants. Calculate the change in the temperature of the gas if its volume changes form V0 to 2V0
11
Sep
One mole of ideal gas passes through a process where pressure and volume obey the relation p = p0[1-1/2(V0/V)^2]. Here P0 and V0 are constants. Calculate the change in the temperature of the gas if its volume changes form V0 to 2V0 n moles of an ideal gas with constant volume heat capacity CV undergo [...]
A 25 × 10^–3 m 3 volume cylinder is filled with 1 mol of O2 gas at room temperature (300 K). The molecular diameter of O2, and its root mean square speed, are found to be 0.3 nm and 200 m/s, respectively. What is the average collision rate (per second) for an O2 molecule ?
11
Sep
A 25 × 10^–3 m 3 volume cylinder is filled with 1 mol of O2 gas at room temperature (300 K). The molecular diameter of O2, and its root mean square speed, are found to be 0.3 nm and 200 m/s, respectively. What is the average collision rate (per second) for an O2 molecule ? [...]
n moles of an ideal gas with constant volume heat capacity CV undergo an isobaric expansion by certain volume. The ratio of the work done in the process, to the heat supplied is :
11
Sep
n moles of an ideal gas with constant volume heat capacity CV undergo an isobaric expansion by certain volume. The ratio of the work done in the process, to the heat supplied is : n moles of an ideal gas with constant volume heat capacity CV undergo an isobaric expansion by certain volume. The ratio [...]
The specific heats, CP and CV of a gas of diatomic molecules, A, are given (in units of J mol^–1 K^–1) by 29 and 22, respectively. Another gas of diatomic molecules, B, has the corresponding values 30 and 21. If they are treated as ideal gases, then
11
Sep
The specific heats, CP and CV of a gas of diatomic molecules, A, are given (in units of J mol^–1 K^–1) by 29 and 22, respectively. Another gas of diatomic molecules, B, has the corresponding values 30 and 21. If they are treated as ideal gases, then A) are given (in units of J mol^–1 [...]
An HCl molecule has rotational, translational and vibrational motions. If the rms velocity of HCl molecules in its gaseous phase is bar (v),m is its mass and kB is Boltzmann constant, then its temperature will be
11
Sep
An HCl molecule has rotational, translational and vibrational motions. If the rms velocity of HCl molecules in its gaseous phase is bar (v),m is its mass and kB is Boltzmann constant, then its temperature will be An HCl molecule has rotational m is its mass and kB is Boltzmann constant then its temperature will be [...]
For a given at 1 atm pressure, rms speed of the molecules is 200 m/s at 127ºC. At 2 atm pressure and at 227ºC, the rms speed of the molecules will be
11
Sep
For a given at 1 atm pressure, rms speed of the molecules is 200 m/s at 127ºC. At 2 atm pressure and at 227ºC, the rms speed of the molecules will be For a given at 1 atm pressure rms speed of the molecules is 200 m/s at 127ºC. At 2 atm pressure and at [...]
The temperature, at which the root mean square velocity of hydrogen molecules equals their escape velocity from the earth, is closest to : [Boltzmann Constant kB=1.38×10^−23J/K Avogadro Number NA=6.02×10^26/kg Radius of Earth : 6.4×10^6m Gravitational acceleration on Earth = 10 ms^−2]
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Sep
The temperature, at which the root mean square velocity of hydrogen molecules equals their escape velocity from the earth, is closest to : [Boltzmann Constant kB=1.38×10^−23J/K Avogadro Number NA=6.02×10^26/kg Radius of Earth : 6.4×10^6m Gravitational acceleration on Earth = 10 ms^−2] at which the root mean square velocity of hydrogen molecules equals their escape velocity [...]
If 10^22 gas molecules each of mass 10^–26 kg collide with a surface (perpendicular to it) elastically per second over an area 1 m^2 with a speed 10^4 m/s, the pressure exerted by the gas molecules will be of the order of
11
Sep
If 10^22 gas molecules each of mass 10^–26 kg collide with a surface (perpendicular to it) elastically per second over an area 1 m^2 with a speed 10^4 m/s, the pressure exerted by the gas molecules will be of the order of If 10^22 gas molecules each of mass 10^–26 kg collide with a surface [...]