139268
In kinetic theory of gases, it is assumed that molecular collisions are
1 For negligible duration
2 Inelastic
3 One-dimensional (head on)
4 Unable to exert mutual force
Explanation:
A Assumption of the kinetic theory of gases - - All molecular collisions between gas molecular are perfectly elastic and of negligible duration. - Molecule of a gas are in constant random motion. - The volume actually occupied by the molecules by the gas in negligibly small.
UP CPMT-2013
Kinetic Theory of Gases
139269
If $C_{s}$ is the velocity of sound in air and $C$ is the rms value, then
C Velocity of sound $\left(\mathrm{C}_{\mathrm{s}}\right)=\sqrt{\frac{\gamma \mathrm{P}}{\rho}}$ R.M.S velocity of gas molecules $(c)=\sqrt{\frac{3 P}{\rho}}$ $\because \frac{\mathrm{C}_{\mathrm{s}}}{\mathrm{C}}=\frac{\sqrt{\gamma \mathrm{P} / \rho}}{\sqrt{3 \mathrm{P} / \rho}}=\sqrt{\frac{\gamma}{3}}$ $\mathrm{C}_{\mathrm{s}}=\mathrm{C} \times \sqrt{\frac{\gamma}{3}}$
UP CPMT-2012
Kinetic Theory of Gases
139270
According to the kinetic theory of gases, total energy of a gas is equal to
1 Kinetic energy
2 Potential energy
3 Both (a) and (b)
4 None of the above
Explanation:
A Total energy of a gas = kinetic energy + potential energy From kinetic Theory of gas, Intermolecular force $\rightarrow$ zero Potential energy $\rightarrow$ zero Then, Total energy $=$ kinetic energy.
UP CPMT-2011
Kinetic Theory of Gases
139277
The speed of 5 molecules of gas (in arbitrary units) are as follows : $2,3,4,5,6$ The root mean square speed for these molecules is
1 2.91
2 4.00
3 3.52
4 4.24
Explanation:
C R.M.S speed $\left(\mathrm{v}_{\mathrm{rms}}\right)=\sqrt{\frac{3 R T}{\mathrm{M}}}$ $\mathrm{v}_{\mathrm{rms}} \propto \frac{1}{\sqrt{\mathrm{M}}}$ Root mean square speed is inversely proportional to the molecular weight of the atom. Decreasing order of molecular weight of atom, $\mathrm{M}_{\text {sulfur hexafluoride }}>\mathrm{M}_{\text {fluorine }}>\mathrm{M}_{\text {Helium }}$ Hence, $M_{\text {Helium }}$ is Smallest among all given So, $v_{\text {rms }}$ for Helium is maximum.
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Kinetic Theory of Gases
139268
In kinetic theory of gases, it is assumed that molecular collisions are
1 For negligible duration
2 Inelastic
3 One-dimensional (head on)
4 Unable to exert mutual force
Explanation:
A Assumption of the kinetic theory of gases - - All molecular collisions between gas molecular are perfectly elastic and of negligible duration. - Molecule of a gas are in constant random motion. - The volume actually occupied by the molecules by the gas in negligibly small.
UP CPMT-2013
Kinetic Theory of Gases
139269
If $C_{s}$ is the velocity of sound in air and $C$ is the rms value, then
C Velocity of sound $\left(\mathrm{C}_{\mathrm{s}}\right)=\sqrt{\frac{\gamma \mathrm{P}}{\rho}}$ R.M.S velocity of gas molecules $(c)=\sqrt{\frac{3 P}{\rho}}$ $\because \frac{\mathrm{C}_{\mathrm{s}}}{\mathrm{C}}=\frac{\sqrt{\gamma \mathrm{P} / \rho}}{\sqrt{3 \mathrm{P} / \rho}}=\sqrt{\frac{\gamma}{3}}$ $\mathrm{C}_{\mathrm{s}}=\mathrm{C} \times \sqrt{\frac{\gamma}{3}}$
UP CPMT-2012
Kinetic Theory of Gases
139270
According to the kinetic theory of gases, total energy of a gas is equal to
1 Kinetic energy
2 Potential energy
3 Both (a) and (b)
4 None of the above
Explanation:
A Total energy of a gas = kinetic energy + potential energy From kinetic Theory of gas, Intermolecular force $\rightarrow$ zero Potential energy $\rightarrow$ zero Then, Total energy $=$ kinetic energy.
UP CPMT-2011
Kinetic Theory of Gases
139277
The speed of 5 molecules of gas (in arbitrary units) are as follows : $2,3,4,5,6$ The root mean square speed for these molecules is
1 2.91
2 4.00
3 3.52
4 4.24
Explanation:
C R.M.S speed $\left(\mathrm{v}_{\mathrm{rms}}\right)=\sqrt{\frac{3 R T}{\mathrm{M}}}$ $\mathrm{v}_{\mathrm{rms}} \propto \frac{1}{\sqrt{\mathrm{M}}}$ Root mean square speed is inversely proportional to the molecular weight of the atom. Decreasing order of molecular weight of atom, $\mathrm{M}_{\text {sulfur hexafluoride }}>\mathrm{M}_{\text {fluorine }}>\mathrm{M}_{\text {Helium }}$ Hence, $M_{\text {Helium }}$ is Smallest among all given So, $v_{\text {rms }}$ for Helium is maximum.
139268
In kinetic theory of gases, it is assumed that molecular collisions are
1 For negligible duration
2 Inelastic
3 One-dimensional (head on)
4 Unable to exert mutual force
Explanation:
A Assumption of the kinetic theory of gases - - All molecular collisions between gas molecular are perfectly elastic and of negligible duration. - Molecule of a gas are in constant random motion. - The volume actually occupied by the molecules by the gas in negligibly small.
UP CPMT-2013
Kinetic Theory of Gases
139269
If $C_{s}$ is the velocity of sound in air and $C$ is the rms value, then
C Velocity of sound $\left(\mathrm{C}_{\mathrm{s}}\right)=\sqrt{\frac{\gamma \mathrm{P}}{\rho}}$ R.M.S velocity of gas molecules $(c)=\sqrt{\frac{3 P}{\rho}}$ $\because \frac{\mathrm{C}_{\mathrm{s}}}{\mathrm{C}}=\frac{\sqrt{\gamma \mathrm{P} / \rho}}{\sqrt{3 \mathrm{P} / \rho}}=\sqrt{\frac{\gamma}{3}}$ $\mathrm{C}_{\mathrm{s}}=\mathrm{C} \times \sqrt{\frac{\gamma}{3}}$
UP CPMT-2012
Kinetic Theory of Gases
139270
According to the kinetic theory of gases, total energy of a gas is equal to
1 Kinetic energy
2 Potential energy
3 Both (a) and (b)
4 None of the above
Explanation:
A Total energy of a gas = kinetic energy + potential energy From kinetic Theory of gas, Intermolecular force $\rightarrow$ zero Potential energy $\rightarrow$ zero Then, Total energy $=$ kinetic energy.
UP CPMT-2011
Kinetic Theory of Gases
139277
The speed of 5 molecules of gas (in arbitrary units) are as follows : $2,3,4,5,6$ The root mean square speed for these molecules is
1 2.91
2 4.00
3 3.52
4 4.24
Explanation:
C R.M.S speed $\left(\mathrm{v}_{\mathrm{rms}}\right)=\sqrt{\frac{3 R T}{\mathrm{M}}}$ $\mathrm{v}_{\mathrm{rms}} \propto \frac{1}{\sqrt{\mathrm{M}}}$ Root mean square speed is inversely proportional to the molecular weight of the atom. Decreasing order of molecular weight of atom, $\mathrm{M}_{\text {sulfur hexafluoride }}>\mathrm{M}_{\text {fluorine }}>\mathrm{M}_{\text {Helium }}$ Hence, $M_{\text {Helium }}$ is Smallest among all given So, $v_{\text {rms }}$ for Helium is maximum.
139268
In kinetic theory of gases, it is assumed that molecular collisions are
1 For negligible duration
2 Inelastic
3 One-dimensional (head on)
4 Unable to exert mutual force
Explanation:
A Assumption of the kinetic theory of gases - - All molecular collisions between gas molecular are perfectly elastic and of negligible duration. - Molecule of a gas are in constant random motion. - The volume actually occupied by the molecules by the gas in negligibly small.
UP CPMT-2013
Kinetic Theory of Gases
139269
If $C_{s}$ is the velocity of sound in air and $C$ is the rms value, then
C Velocity of sound $\left(\mathrm{C}_{\mathrm{s}}\right)=\sqrt{\frac{\gamma \mathrm{P}}{\rho}}$ R.M.S velocity of gas molecules $(c)=\sqrt{\frac{3 P}{\rho}}$ $\because \frac{\mathrm{C}_{\mathrm{s}}}{\mathrm{C}}=\frac{\sqrt{\gamma \mathrm{P} / \rho}}{\sqrt{3 \mathrm{P} / \rho}}=\sqrt{\frac{\gamma}{3}}$ $\mathrm{C}_{\mathrm{s}}=\mathrm{C} \times \sqrt{\frac{\gamma}{3}}$
UP CPMT-2012
Kinetic Theory of Gases
139270
According to the kinetic theory of gases, total energy of a gas is equal to
1 Kinetic energy
2 Potential energy
3 Both (a) and (b)
4 None of the above
Explanation:
A Total energy of a gas = kinetic energy + potential energy From kinetic Theory of gas, Intermolecular force $\rightarrow$ zero Potential energy $\rightarrow$ zero Then, Total energy $=$ kinetic energy.
UP CPMT-2011
Kinetic Theory of Gases
139277
The speed of 5 molecules of gas (in arbitrary units) are as follows : $2,3,4,5,6$ The root mean square speed for these molecules is
1 2.91
2 4.00
3 3.52
4 4.24
Explanation:
C R.M.S speed $\left(\mathrm{v}_{\mathrm{rms}}\right)=\sqrt{\frac{3 R T}{\mathrm{M}}}$ $\mathrm{v}_{\mathrm{rms}} \propto \frac{1}{\sqrt{\mathrm{M}}}$ Root mean square speed is inversely proportional to the molecular weight of the atom. Decreasing order of molecular weight of atom, $\mathrm{M}_{\text {sulfur hexafluoride }}>\mathrm{M}_{\text {fluorine }}>\mathrm{M}_{\text {Helium }}$ Hence, $M_{\text {Helium }}$ is Smallest among all given So, $v_{\text {rms }}$ for Helium is maximum.