360273
If at the same temperature and pressure, the densities of two diatomic gases are \(d_{1}\) and \(d_{2}\) respectively. The ratio of mean kinetic energy per molecules of gases will be
1 \(1: 1\)
2 \(d_{1}: d_{2}\)
3 \(\sqrt{d_{1}}: \sqrt{d_{2}}\)
4 \(\sqrt{d_{2}}: \sqrt{d_{1}}\)
Explanation:
At a given temperature \((T)\) all the ideal gas molecules no matter what their masses, have the same average translational kinetic energy. \(E=\dfrac{3}{2} K T\) So \(E\) does not depend upon density \(\dfrac{E_{1}}{E_{2}}=\dfrac{1}{1}\).
PHXI13:KINETIC THEORY
360274
The average thermal energy for a mono-atomic gas is : ( \(K_{B}\) is Boltzmann constant and \(T\) absolute temperature)
1 \(\dfrac{3}{2} k_{B} T\)
2 \(\dfrac{5}{2} k_{B} T\)
3 \(\dfrac{7}{2} k_{B} T\)
4 \(\dfrac{1}{2} k_{B} T\)
Explanation:
Average thermal energy \(=\dfrac{3}{2} k_{B} T\) where 3 is translational degree of freedom. For monoatomic gas total degree of freedom \(f = 3\) (translational degree of freedom)
NEET - 2020
PHXI13:KINETIC THEORY
360275
The gases carbon-monoxide \((CO)\) and oxgen \({\left({O}_{2}\right)}\) at the same temperature, have kinetic energies \({E_{1}}\) and \({E_{2}}\), respectively. Then
1 \({E_{1}=E_{2}}\)
2 \({E_{1} < E_{2}}\)
3 \({E_{1}>E_{2}}\)
4 \({E_{1}}\) and \({E_{2}}\) cannot be compared
Explanation:
The gases carbon-monoxide (\({C O}\)) and nitrogen \({\left(N_{2}\right)}\) are diatomic, so both have equal kinetic energy \({\left(\dfrac{5}{2} k T\right)}\), \(i.\,e.\) \({E_{1}=E_{2}}\).
PHXI13:KINETIC THEORY
360276
Assertion : Absolute zero is not the temperature corresponding to zero energy. Reason : The temperature at which molecular motion ceases is called absolute zero temperature.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
Absolute zero is the lowest temperature at which the motion of particles reaches its minimum energy state, but it is not a state of zero energy. So correct option is (1).
NEET Test Series from KOTA - 10 Papers In MS WORD
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PHXI13:KINETIC THEORY
360273
If at the same temperature and pressure, the densities of two diatomic gases are \(d_{1}\) and \(d_{2}\) respectively. The ratio of mean kinetic energy per molecules of gases will be
1 \(1: 1\)
2 \(d_{1}: d_{2}\)
3 \(\sqrt{d_{1}}: \sqrt{d_{2}}\)
4 \(\sqrt{d_{2}}: \sqrt{d_{1}}\)
Explanation:
At a given temperature \((T)\) all the ideal gas molecules no matter what their masses, have the same average translational kinetic energy. \(E=\dfrac{3}{2} K T\) So \(E\) does not depend upon density \(\dfrac{E_{1}}{E_{2}}=\dfrac{1}{1}\).
PHXI13:KINETIC THEORY
360274
The average thermal energy for a mono-atomic gas is : ( \(K_{B}\) is Boltzmann constant and \(T\) absolute temperature)
1 \(\dfrac{3}{2} k_{B} T\)
2 \(\dfrac{5}{2} k_{B} T\)
3 \(\dfrac{7}{2} k_{B} T\)
4 \(\dfrac{1}{2} k_{B} T\)
Explanation:
Average thermal energy \(=\dfrac{3}{2} k_{B} T\) where 3 is translational degree of freedom. For monoatomic gas total degree of freedom \(f = 3\) (translational degree of freedom)
NEET - 2020
PHXI13:KINETIC THEORY
360275
The gases carbon-monoxide \((CO)\) and oxgen \({\left({O}_{2}\right)}\) at the same temperature, have kinetic energies \({E_{1}}\) and \({E_{2}}\), respectively. Then
1 \({E_{1}=E_{2}}\)
2 \({E_{1} < E_{2}}\)
3 \({E_{1}>E_{2}}\)
4 \({E_{1}}\) and \({E_{2}}\) cannot be compared
Explanation:
The gases carbon-monoxide (\({C O}\)) and nitrogen \({\left(N_{2}\right)}\) are diatomic, so both have equal kinetic energy \({\left(\dfrac{5}{2} k T\right)}\), \(i.\,e.\) \({E_{1}=E_{2}}\).
PHXI13:KINETIC THEORY
360276
Assertion : Absolute zero is not the temperature corresponding to zero energy. Reason : The temperature at which molecular motion ceases is called absolute zero temperature.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
Absolute zero is the lowest temperature at which the motion of particles reaches its minimum energy state, but it is not a state of zero energy. So correct option is (1).
360273
If at the same temperature and pressure, the densities of two diatomic gases are \(d_{1}\) and \(d_{2}\) respectively. The ratio of mean kinetic energy per molecules of gases will be
1 \(1: 1\)
2 \(d_{1}: d_{2}\)
3 \(\sqrt{d_{1}}: \sqrt{d_{2}}\)
4 \(\sqrt{d_{2}}: \sqrt{d_{1}}\)
Explanation:
At a given temperature \((T)\) all the ideal gas molecules no matter what their masses, have the same average translational kinetic energy. \(E=\dfrac{3}{2} K T\) So \(E\) does not depend upon density \(\dfrac{E_{1}}{E_{2}}=\dfrac{1}{1}\).
PHXI13:KINETIC THEORY
360274
The average thermal energy for a mono-atomic gas is : ( \(K_{B}\) is Boltzmann constant and \(T\) absolute temperature)
1 \(\dfrac{3}{2} k_{B} T\)
2 \(\dfrac{5}{2} k_{B} T\)
3 \(\dfrac{7}{2} k_{B} T\)
4 \(\dfrac{1}{2} k_{B} T\)
Explanation:
Average thermal energy \(=\dfrac{3}{2} k_{B} T\) where 3 is translational degree of freedom. For monoatomic gas total degree of freedom \(f = 3\) (translational degree of freedom)
NEET - 2020
PHXI13:KINETIC THEORY
360275
The gases carbon-monoxide \((CO)\) and oxgen \({\left({O}_{2}\right)}\) at the same temperature, have kinetic energies \({E_{1}}\) and \({E_{2}}\), respectively. Then
1 \({E_{1}=E_{2}}\)
2 \({E_{1} < E_{2}}\)
3 \({E_{1}>E_{2}}\)
4 \({E_{1}}\) and \({E_{2}}\) cannot be compared
Explanation:
The gases carbon-monoxide (\({C O}\)) and nitrogen \({\left(N_{2}\right)}\) are diatomic, so both have equal kinetic energy \({\left(\dfrac{5}{2} k T\right)}\), \(i.\,e.\) \({E_{1}=E_{2}}\).
PHXI13:KINETIC THEORY
360276
Assertion : Absolute zero is not the temperature corresponding to zero energy. Reason : The temperature at which molecular motion ceases is called absolute zero temperature.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
Absolute zero is the lowest temperature at which the motion of particles reaches its minimum energy state, but it is not a state of zero energy. So correct option is (1).
360273
If at the same temperature and pressure, the densities of two diatomic gases are \(d_{1}\) and \(d_{2}\) respectively. The ratio of mean kinetic energy per molecules of gases will be
1 \(1: 1\)
2 \(d_{1}: d_{2}\)
3 \(\sqrt{d_{1}}: \sqrt{d_{2}}\)
4 \(\sqrt{d_{2}}: \sqrt{d_{1}}\)
Explanation:
At a given temperature \((T)\) all the ideal gas molecules no matter what their masses, have the same average translational kinetic energy. \(E=\dfrac{3}{2} K T\) So \(E\) does not depend upon density \(\dfrac{E_{1}}{E_{2}}=\dfrac{1}{1}\).
PHXI13:KINETIC THEORY
360274
The average thermal energy for a mono-atomic gas is : ( \(K_{B}\) is Boltzmann constant and \(T\) absolute temperature)
1 \(\dfrac{3}{2} k_{B} T\)
2 \(\dfrac{5}{2} k_{B} T\)
3 \(\dfrac{7}{2} k_{B} T\)
4 \(\dfrac{1}{2} k_{B} T\)
Explanation:
Average thermal energy \(=\dfrac{3}{2} k_{B} T\) where 3 is translational degree of freedom. For monoatomic gas total degree of freedom \(f = 3\) (translational degree of freedom)
NEET - 2020
PHXI13:KINETIC THEORY
360275
The gases carbon-monoxide \((CO)\) and oxgen \({\left({O}_{2}\right)}\) at the same temperature, have kinetic energies \({E_{1}}\) and \({E_{2}}\), respectively. Then
1 \({E_{1}=E_{2}}\)
2 \({E_{1} < E_{2}}\)
3 \({E_{1}>E_{2}}\)
4 \({E_{1}}\) and \({E_{2}}\) cannot be compared
Explanation:
The gases carbon-monoxide (\({C O}\)) and nitrogen \({\left(N_{2}\right)}\) are diatomic, so both have equal kinetic energy \({\left(\dfrac{5}{2} k T\right)}\), \(i.\,e.\) \({E_{1}=E_{2}}\).
PHXI13:KINETIC THEORY
360276
Assertion : Absolute zero is not the temperature corresponding to zero energy. Reason : The temperature at which molecular motion ceases is called absolute zero temperature.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
Absolute zero is the lowest temperature at which the motion of particles reaches its minimum energy state, but it is not a state of zero energy. So correct option is (1).