Miscellaneous Problems on Kinetic Theory of Gases
PHXI13:KINETIC THEORY

360322 The core of the sun is a plasma. It is at a temperature of The order of \(10^{7} {~K}\) and contains equal number of protons the electrons. The density of the core of the Sun is \(10^{5} {~kg} {~m}^{-3}\) Assume that molar mass of proton is \(1 {~g} {~mol}^{-1}\) and the mass of an electron to be negligible compared to the mass of a proton. Estimate the pressure at the core of the sun. Assume that plasma behaves like an ideal gas.

1 \(3.57 \times {10^{16}}\,Pa\)
2 \(2.68 \times {10^{16}}\,Pa\)
3 \(1.66 \times {10^{16}}\,Pa\)
4 \(9.35 \times {10^{16}}\,Pa\)
PHXI13:KINETIC THEORY

360323 Kinetic energy of molecules is minimum in

1 solids
2 liquids
3 gases
4 none of these
PHXI13:KINETIC THEORY

360324 The upper atmosphere, an astronaut feels

1 Extremely hot
2 Slightly hotter
3 Extremely cool
4 Slightly cooler
PHXI13:KINETIC THEORY

360325 Assertion :
All molecular motion ceases at \( - 273^\circ C\).
Reason :
Temperature \( - 273^\circ C\) cannot be attained.

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.
PHXI13:KINETIC THEORY

360326 A thermally insulated vessel contains an ideal gas of molecular mass \(M\) and ratio of specific heats \(\gamma\). It is moving with speed \(v\) and it's suddenly brought to rest. Assuming no heat is lost to the surrounding, its temperature increases by

1 \(\dfrac{(\gamma-1)}{2 \gamma R} M v^{2} K\)
2 \(\dfrac{\gamma M^{2} v}{2 R} K\)
3 \(\dfrac{(\gamma-1)}{2 R} M v^{2} K\)
4 \(\dfrac{(\gamma-1)}{2(\gamma+1) R} M v^{2} K\)
PHXI13:KINETIC THEORY

360322 The core of the sun is a plasma. It is at a temperature of The order of \(10^{7} {~K}\) and contains equal number of protons the electrons. The density of the core of the Sun is \(10^{5} {~kg} {~m}^{-3}\) Assume that molar mass of proton is \(1 {~g} {~mol}^{-1}\) and the mass of an electron to be negligible compared to the mass of a proton. Estimate the pressure at the core of the sun. Assume that plasma behaves like an ideal gas.

1 \(3.57 \times {10^{16}}\,Pa\)
2 \(2.68 \times {10^{16}}\,Pa\)
3 \(1.66 \times {10^{16}}\,Pa\)
4 \(9.35 \times {10^{16}}\,Pa\)
PHXI13:KINETIC THEORY

360323 Kinetic energy of molecules is minimum in

1 solids
2 liquids
3 gases
4 none of these
PHXI13:KINETIC THEORY

360324 The upper atmosphere, an astronaut feels

1 Extremely hot
2 Slightly hotter
3 Extremely cool
4 Slightly cooler
PHXI13:KINETIC THEORY

360325 Assertion :
All molecular motion ceases at \( - 273^\circ C\).
Reason :
Temperature \( - 273^\circ C\) cannot be attained.

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.
PHXI13:KINETIC THEORY

360326 A thermally insulated vessel contains an ideal gas of molecular mass \(M\) and ratio of specific heats \(\gamma\). It is moving with speed \(v\) and it's suddenly brought to rest. Assuming no heat is lost to the surrounding, its temperature increases by

1 \(\dfrac{(\gamma-1)}{2 \gamma R} M v^{2} K\)
2 \(\dfrac{\gamma M^{2} v}{2 R} K\)
3 \(\dfrac{(\gamma-1)}{2 R} M v^{2} K\)
4 \(\dfrac{(\gamma-1)}{2(\gamma+1) R} M v^{2} K\)
PHXI13:KINETIC THEORY

360322 The core of the sun is a plasma. It is at a temperature of The order of \(10^{7} {~K}\) and contains equal number of protons the electrons. The density of the core of the Sun is \(10^{5} {~kg} {~m}^{-3}\) Assume that molar mass of proton is \(1 {~g} {~mol}^{-1}\) and the mass of an electron to be negligible compared to the mass of a proton. Estimate the pressure at the core of the sun. Assume that plasma behaves like an ideal gas.

1 \(3.57 \times {10^{16}}\,Pa\)
2 \(2.68 \times {10^{16}}\,Pa\)
3 \(1.66 \times {10^{16}}\,Pa\)
4 \(9.35 \times {10^{16}}\,Pa\)
PHXI13:KINETIC THEORY

360323 Kinetic energy of molecules is minimum in

1 solids
2 liquids
3 gases
4 none of these
PHXI13:KINETIC THEORY

360324 The upper atmosphere, an astronaut feels

1 Extremely hot
2 Slightly hotter
3 Extremely cool
4 Slightly cooler
PHXI13:KINETIC THEORY

360325 Assertion :
All molecular motion ceases at \( - 273^\circ C\).
Reason :
Temperature \( - 273^\circ C\) cannot be attained.

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.
PHXI13:KINETIC THEORY

360326 A thermally insulated vessel contains an ideal gas of molecular mass \(M\) and ratio of specific heats \(\gamma\). It is moving with speed \(v\) and it's suddenly brought to rest. Assuming no heat is lost to the surrounding, its temperature increases by

1 \(\dfrac{(\gamma-1)}{2 \gamma R} M v^{2} K\)
2 \(\dfrac{\gamma M^{2} v}{2 R} K\)
3 \(\dfrac{(\gamma-1)}{2 R} M v^{2} K\)
4 \(\dfrac{(\gamma-1)}{2(\gamma+1) R} M v^{2} K\)
PHXI13:KINETIC THEORY

360322 The core of the sun is a plasma. It is at a temperature of The order of \(10^{7} {~K}\) and contains equal number of protons the electrons. The density of the core of the Sun is \(10^{5} {~kg} {~m}^{-3}\) Assume that molar mass of proton is \(1 {~g} {~mol}^{-1}\) and the mass of an electron to be negligible compared to the mass of a proton. Estimate the pressure at the core of the sun. Assume that plasma behaves like an ideal gas.

1 \(3.57 \times {10^{16}}\,Pa\)
2 \(2.68 \times {10^{16}}\,Pa\)
3 \(1.66 \times {10^{16}}\,Pa\)
4 \(9.35 \times {10^{16}}\,Pa\)
PHXI13:KINETIC THEORY

360323 Kinetic energy of molecules is minimum in

1 solids
2 liquids
3 gases
4 none of these
PHXI13:KINETIC THEORY

360324 The upper atmosphere, an astronaut feels

1 Extremely hot
2 Slightly hotter
3 Extremely cool
4 Slightly cooler
PHXI13:KINETIC THEORY

360325 Assertion :
All molecular motion ceases at \( - 273^\circ C\).
Reason :
Temperature \( - 273^\circ C\) cannot be attained.

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.
PHXI13:KINETIC THEORY

360326 A thermally insulated vessel contains an ideal gas of molecular mass \(M\) and ratio of specific heats \(\gamma\). It is moving with speed \(v\) and it's suddenly brought to rest. Assuming no heat is lost to the surrounding, its temperature increases by

1 \(\dfrac{(\gamma-1)}{2 \gamma R} M v^{2} K\)
2 \(\dfrac{\gamma M^{2} v}{2 R} K\)
3 \(\dfrac{(\gamma-1)}{2 R} M v^{2} K\)
4 \(\dfrac{(\gamma-1)}{2(\gamma+1) R} M v^{2} K\)
PHXI13:KINETIC THEORY

360322 The core of the sun is a plasma. It is at a temperature of The order of \(10^{7} {~K}\) and contains equal number of protons the electrons. The density of the core of the Sun is \(10^{5} {~kg} {~m}^{-3}\) Assume that molar mass of proton is \(1 {~g} {~mol}^{-1}\) and the mass of an electron to be negligible compared to the mass of a proton. Estimate the pressure at the core of the sun. Assume that plasma behaves like an ideal gas.

1 \(3.57 \times {10^{16}}\,Pa\)
2 \(2.68 \times {10^{16}}\,Pa\)
3 \(1.66 \times {10^{16}}\,Pa\)
4 \(9.35 \times {10^{16}}\,Pa\)
PHXI13:KINETIC THEORY

360323 Kinetic energy of molecules is minimum in

1 solids
2 liquids
3 gases
4 none of these
PHXI13:KINETIC THEORY

360324 The upper atmosphere, an astronaut feels

1 Extremely hot
2 Slightly hotter
3 Extremely cool
4 Slightly cooler
PHXI13:KINETIC THEORY

360325 Assertion :
All molecular motion ceases at \( - 273^\circ C\).
Reason :
Temperature \( - 273^\circ C\) cannot be attained.

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.
PHXI13:KINETIC THEORY

360326 A thermally insulated vessel contains an ideal gas of molecular mass \(M\) and ratio of specific heats \(\gamma\). It is moving with speed \(v\) and it's suddenly brought to rest. Assuming no heat is lost to the surrounding, its temperature increases by

1 \(\dfrac{(\gamma-1)}{2 \gamma R} M v^{2} K\)
2 \(\dfrac{\gamma M^{2} v}{2 R} K\)
3 \(\dfrac{(\gamma-1)}{2 R} M v^{2} K\)
4 \(\dfrac{(\gamma-1)}{2(\gamma+1) R} M v^{2} K\)