# The volume and temperature graph is given in the figure below. If pressures for the two processes are different, then which one,  of the following, is true?            1.  $$P_1=P_2$$ and $$P_3=P_4$$ and $$P_3>P_2$$ 2. $$P_1=P_2$$ and $$P_3=P_4$$ and $$P_3<P_2$$ 3. $$P_1=P_2$$ $$=$$ $$P_3=P_4$$ 4. $$P_1>P_2$$ $$>$$ $$P_3>P_4$$

Subtopic:  Ideal Gas Equation |
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The root mean square velocity of the molecules of a gas is 300 m/s. What will be the root mean square speed of the molecules if the atomic weight is doubled and absolute temperature is halved?

 1 300 m/s 2 150 m/s 3 600 m/s 4 75 m/s
Subtopic:  Types of Velocities |
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The ratio of ${\mathrm{v}}_{\mathrm{rms}}:{\mathrm{v}}_{\mathrm{mp}}:{\mathrm{v}}_{\mathrm{avg}}$ is: (symbols have their usual meaning)

Subtopic:  Types of Velocities |
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Two chambers of different volumes, one containing ${\mathrm{m}}_{1}$g of a gas at pressure ${\mathrm{P}}_{1}$ and other containing ${\mathrm{m}}_{2}$g of the same gas at pressure ${\mathrm{P}}_{2}$ are joined to each other. If the temperature of the gas remains constant, the common pressure reached is:

1.

2.

3.

4.

Subtopic:  Ideal Gas Equation |
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At a pressure of 24 × 105 dyne/cm2, the volume of O2 is 10 litre and mass is 20g. The rms velocity will be:

 1 800 m/s 2 400 m/s 3 600 m/s 4 Data is incomplete
Subtopic:  Types of Velocities |
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The rms speed of oxygen atoms is v. If the temperature is halved and the oxygen atoms combine to form oxygen molecules, then the rms speed will be:

1. $\frac{v}{\sqrt{2}}$

2. $v\sqrt{2}$

3. 2v

4. $\frac{v}{2}$

Subtopic:  Types of Velocities |
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Two thermally insulated vessels $$1$$ and $$2$$ are filled with air at temperatures $$\mathrm{T_1},$$ $$\mathrm{T_2},$$ volume $$\mathrm{V_1},$$ $$\mathrm{V_2}$$ and pressure $$\mathrm{P_1},$$ $$\mathrm{P_2}$$ respectively. If the valve joining the two vessels is opened, the temperature inside the vessel at equilibrium will be:

 1 $$T_1+T_2$$ 2 $$\dfrac{T_1+T_2}{2}$$ 3 $$\dfrac{T_1T_2(P_1V_1+P_2V_2)}{P_1V_1T_2+P_2V_2T_1}$$ 4 $$\dfrac{T_1T_2(P_1V_1+P_2V_2)}{P_1V_1T_1+P_2V_2T_2}$$
Subtopic:  Ideal Gas Equation |
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If $$V_\text{H}$$,$$V_\text{N}$$ and $$V_\text{O}$$ denote the root-mean square velocities of molecules of hydrogen, nitrogen and oxygen respectively at a given temperature, then:
1. $$V_\text{N}>V_\text{O}>V_\text{H}$$
2. $$V_\text{H}>V_\text{N}>V_\text{O}$$
3. $$V_\text{O}>V_\text{N}>V_\text{H}$$
4. $$V_\text{O}>V_\text{H}>V_\text{N}$$

Subtopic:  Types of Velocities |
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If the ratio of vapour density for hydrogen and oxygen is $$1 \over 16$$, then under constant pressure, the ratio of their rms velocities will be:

 1 $$4 \over 1$$ 2 $$1 \over 4$$ 3 $$1 \over 16$$ 4 $$16 \over 1$$
Subtopic:  Types of Velocities |
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What is the velocity of a wave in a monoatomic gas having pressure 1 kilopascal and density  ?

1.

2.

3.  Zero

4.  None of these

Subtopic:  Types of Velocities |
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