The fraction of molecular volume to the actual volume occupied by oxygen gas at STP is: (Take the diameter of an oxygen molecule to be 3 Å).

$\left(1\right)4\times {10}^{-4}\phantom{\rule{0ex}{0ex}}\left(2\right)5\times {10}^{-4}\phantom{\rule{0ex}{0ex}}\left(3\right)3\times {10}^{-4}\phantom{\rule{0ex}{0ex}}\left(4\right)1\times {10}^{-4}$

Subtopic: Ideal Gas Equation |

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Molar volume is the volume occupied by 1 mol of any (ideal) gas at standard temperature and pressure (STP: 1 atmospheric pressure, $0\xb0\mathrm{C}$) is:

(1) 0

(2) 22.4 Liters

(3) 11.2 Liters

(4) 1 Liter

85%

Subtopic: Ideal Gas Equation |

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The figure shows a plot of PV/T versus P for $1.00\times {10}^{-3}kg$ of oxygen gas at two different temperatures.

Then relation between ${T}_{1}and{T}_{2}is:$

$1.{T}_{1}={T}_{2}\phantom{\rule{0ex}{0ex}}2.{T}_{1}{T}_{2}\phantom{\rule{0ex}{0ex}}3.{T}_{1}{T}_{2}\phantom{\rule{0ex}{0ex}}4.{T}_{1}\ge {T}_{2}$

Subtopic: Ideal Gas Equation |

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The figure shows a plot of PV/T versus P for $1.00\times {10}^{-3}kg$ of oxygen gas at two different temperatures.

The value of PV/T where the curves meet on the y-axis is:

$1.0.06J{K}^{-1}\phantom{\rule{0ex}{0ex}}2.0.36J{K}^{-1}\phantom{\rule{0ex}{0ex}}3.0.16J{K}^{-1}\phantom{\rule{0ex}{0ex}}4.0.26J{K}^{-1}$

63%

Subtopic: Ideal Gas Equation |

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An oxygen cylinder of volume 30 litres has an initial gauge pressure of 15 atm and a temperature of 27 °C. After some oxygen is withdrawn from the cylinder, the gauge pressure drops to 11 atm, and its temperature drops to 17 °C. The mass of oxygen taken out of the cylinder is: $\left(\mathrm{R}=8.31{\mathrm{mol}}^{-1}{\mathrm{K}}^{-1},\mathrm{molecular}\mathrm{mass}\mathrm{of}{\mathrm{O}}_{2}=32\mathrm{u}\right)$

(1) 0.14 kg

(2) 0.16 kg

(3) 0.18 kg

(4) 0.21 kg

Subtopic: Ideal Gas Equation |

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An air bubble of volume 1.0 $c{m}^{3}$ rises from the bottom of a lake 40 m deep at a temperature of 12 °C. To what volume does it grow when it reaches the surface, which is at a temperature of 35 °C?

$\left(1\right)5.3c{m}^{3}\phantom{\rule{0ex}{0ex}}\left(2\right)4.0c{m}^{3}\phantom{\rule{0ex}{0ex}}\left(3\right)3.7c{m}^{3}\phantom{\rule{0ex}{0ex}}\left(4\right)4.9c{m}^{3}$

Subtopic: Ideal Gas Equation |

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What is the total number of air molecules (inclusive of oxygen, nitrogen, water vapor, and other constituents) in a room of capacity 25.0 ${m}^{3}$ at a temperature of 27 °C and 1 atm pressure?

$\begin{array}{l}1.6.1\times {10}^{23}\mathrm{molecules}\\ 2.6.1\times {10}^{26}\mathrm{molecules}\\ 3.7.1\times {10}^{23}\mathrm{molecules}\\ 4.7.1\times {10}^{26}\mathrm{molecules}\end{array}$

Subtopic: Ideal Gas Equation |

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What is the average thermal energy of a helium atom at room temperature (27 °C)?

$\begin{array}{rcl}& & 1.11.21\times {10}^{-20}J\\ & & 2.3.09\times {10}^{-16}J\\ & & 3.6.21\times {10}^{-21}J\\ & & 4.5.97\times {10}^{-19}J\end{array}$

Subtopic: Law of Equipartition of Energy |

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At what temperature is the root mean square speed of an atom in an argon gas cylinder equal to the RMS speed of a helium gas atom at – 20 °C? (atomic mass of Ar = 39.9 u & of He = 4.0 u).

$\left(1\right)1.01\times {10}^{3}K\phantom{\rule{0ex}{0ex}}\left(2\right)3.15\times {10}^{3}K\phantom{\rule{0ex}{0ex}}\left(3\right)1.91\times {10}^{3}K\phantom{\rule{0ex}{0ex}}\left(4\right)2.52\times {10}^{3}K$

74%

Subtopic: Types of Velocities |

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From a certain apparatus, the diffusion rate of hydrogen has an average value of

28.7 $c{m}^{3}{s}^{-1}$. The diffusion of another gas under the same conditions is measured to have an average rate of 7.2 $c{m}^{3}{s}^{-1}$. The unknown gas is:

$\left(1\right)\mathrm{Oxygen}\phantom{\rule{0ex}{0ex}}\left(2\right)\mathrm{Nitrogen}\phantom{\rule{0ex}{0ex}}\left(3\right)\mathrm{Helium}\phantom{\rule{0ex}{0ex}}\left(4\right)\mathrm{None}\mathrm{of}\mathrm{these}$

59%

Subtopic: Types of Velocities |

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