# Which of the following diagrams (figure) depicts ideal gas behaviour?        1. (a), (c) 2. (a), (d) 3. (c), (d) 4. (a), (b)

Subtopic:  Ideal Gas Equation |
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A cubic vessel (with faces horizontal + vertical) contains an ideal gas at NTP. The vessel is being carried by a rocket which is moving at a speed of  in the vertical direction. The pressure of the gas inside the vessel as observed by us on the ground:

 1 remains the same because  $$500$$ $$\mathrm{ms^{-1}}$$ is very much smaller than $$v_{rms}$$ of the gas. 2 remains the same because the motion of the vessel as a whole does not affect the relative motion of the gas molecules and the walls. 3 will increase by a factor equal to $$\Big(\frac{v_{rms}^2+(500)^2}{v_{rms}^2}\Big)$$where $$v_{rms}^2$$ was the original mean square velocity of the gas. 4 will be different on the top wall and bottom wall of the vessel.

Subtopic:  Kinetic Energy of an Ideal Gas |
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An ideal gas equation can be written as $\mathrm{P}=\frac{\mathrm{\rho RT}}{{\mathrm{M}}_{0}}$ where $\mathrm{\rho }$ and ${\mathrm{M}}_{0}$ are respectively:

 1 mass density, the mass of the gas 2 number density, molar mass 3 mass density, molar mass 4 number density, the mass of the gas
Subtopic:  Ideal Gas Equation |
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NEET - 2020
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If $$C_p$$ and $$C_v$$ denote the specific heats (per unit mass) of an ideal gas of molecular weight $$M$$ (where $$R$$ is the molar gas constant), the correct relation is:
1. $$C_p-C_v=R$$
2. $$C_p-C_v=\frac{R}{M}$$
3. $$C_p-C_v=MR$$
4. $$C_p-C_v=\frac{R}{M^2}$$

Subtopic:  Specific Heat |
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AIPMT - 2010
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A cylinder of fixed capacity $$44.8$$ litres contains helium gas at standard temperature and pressure. What is the amount of heat needed to raise the temperature of the gas in the cylinder by $$15.0^\circ~\mathrm{C}?$$ ($$R=8.31$$ J mol–1 K–1)

 1 $$379$$ J 2 $$357$$ J 3 $$457$$ J 4 $$374$$ J

Subtopic:  Specific Heat |
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Match Column - I and Column - II and choose the correct match from the given choices.

 Column - I Column - II (A) root mean square speed of gas molecules (P) $$\frac13nm\bar v^2$$ (B) the pressure exerted by an ideal gas (Q) $$\sqrt{\frac{3 R T}{M}}$$ (C) the average kinetic energy of a molecule (R) $$\frac{5}{2} R T$$ (D) the total internal energy of 1 mole of a diatomic gas (S) $$\frac32k_BT$$

 (A) (B) (C) (D) 1. (Q) (P) (S) (R) 2. (R) (Q) (P) (S) 3. (R) (P) (S) (Q) 4. (Q) (R) (S) (P)
Subtopic:  Kinetic Energy of an Ideal Gas |
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NEET - 2021
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A cylinder contains hydrogen gas at a pressure of $$249~\text{kPa}$$ and temperature $$27^\circ~\mathrm{C}.$$ Its density is: ($$R=8.3~\text{J mol}^{-1} \text {K}^{-1}$$)
1. $$0.2~\text{kg/m}^{3}$$
2. $$0.1~\text{kg/m}^{3}$$
3. $$0.02~\text{kg/m}^{3}$$
4. $$0.5~\text{kg/m}^{3}$$

Subtopic:  Ideal Gas Equation |
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NEET - 2020
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The mean free path for a gas, with molecular diameter $$d$$ and number density $$n,$$ can be expressed as:
1. $$\frac{1}{\sqrt{2} n \pi \mathrm{d}^2}$$
2. $$\frac{1}{\sqrt{2} n^2 \pi \mathrm{d}^2}$$
3. $$\frac{1}{\sqrt{2} n^2 \pi^2 d^2}$$
4. $$\frac{1}{\sqrt{2} n \pi \mathrm{d}}$$

Subtopic:  Mean Free Path |
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NEET - 2020
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Which of the following parameters is the same for molecules of all gases at a given temperature?

 1 mass 2 speed 3 momentum 4 kinetic energy

Subtopic:  Kinetic Energy of an Ideal Gas |
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Suppose a container is evacuated to leave just one molecule of a gas in it. Let $$v_a$$ and $$v_{rms}$$ represent the average speed and the rms speed of the gas.

 1 $$v_a>v_{rms}$$ 2 \(v_a
Subtopic:  Types of Velocities |
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