# A thermally insulated piston divides a container into two compartments.  Volume, temperature, and pressure in the right compartment are $$2V$$, $$T$$ and $$2P$$, while in the left compartment the respective values are $$V$$, $$T$$ and $$P$$.  If the piston can slide freely, then in the final equilibrium position, the volume of the right-hand compartment will be: 1. $$V$$ 2. $$3V \over 5$$ 3. $$9V \over 4$$ 4. $$12V \over 5$$

Subtopic:  Ideal Gas Equation |
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

The graph which represents the variation of mean kinetic energy of molecules with temperature $t°C$ is ?

 1 2 3 4

Subtopic:  Kinetic Energy of an Ideal Gas |
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

${V}_{rms},{V}_{av},{V}_{mp}$ are root mean square, average and most probable speeds of molecules of a gas obeying Maxwellian velocity distribution. Which of the following statements is correct?

1. ${V}_{rms}<{V}_{av}<{V}_{mp}$

2. ${V}_{rms}>{V}_{av}>{V}_{mp}$

3.

4. ${V}_{avg}>{V}_{rms}<{V}_{mp}$

Subtopic:  Types of Velocities |
82%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

Gas is found to obey the law ${P}^{2}V$ = constant. The initial temperature and volume are ${T}_{0}$ and ${V}_{0}$. If the gas expands to a volume $3{V}_{0}$, its final temperature becomes:

1. $\frac{{T}_{0}}{3}$

2. $\frac{{T}_{0}}{\sqrt{3}}$

3. $3{T}_{0}$

4. None of these

Subtopic:  Ideal Gas Equation |
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints

For a gas, the r.m.s speed at 800 K is:

1. Four times the value at 200 K

2. Half the value at 200 K

3. Twice the value at 200 K

4. Same as at 200 K

Subtopic:  Types of Velocities |
68%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

The average kinetic energy of a helium atom at $30°C$ is:                                                                                           [MP PMT 2004]

1. Less than 1 eV

2. A few KeV

3. 50-60 eV

4. 13.6 eV

Subtopic:  Kinetic Energy of an Ideal Gas |
From NCERT
PMT - 2004
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

Choose the correct option related to the specific heat at constant volume ${C}_{V}$ -

1. ${C}_{V}=\frac{1}{2}fR$

2. ${C}_{V}=\frac{R}{\gamma -1}$

3. ${C}_{V}=\frac{{C}_{P}}{\gamma }$

4. All of these

Subtopic:  Specific Heat |
74%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

The curve between absolute temperature and $$\mathrm{v}^2_{rms}$$${}^{}$ is:

 1 2 3 4
Subtopic:  Types of Velocities |
71%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

Five molecules of a gas have speeds, 1, 2, 3, 4 and 5 km${s}^{-1}$.  The value of the root mean square speed of the gas molecules is:

1. 3 km${s}^{-1}$

2. $\sqrt{11}$ km${s}^{-1}$

3. $\frac{1}{2}\sqrt{\mathrm{\pi }}$ km${s}^{-1}$

4. 3.5 km${s}^{-1}$

Subtopic:  Types of Velocities |
77%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

The average velocity of an ideal gas molecule is:

 1 proportional to $$\sqrt{T}$$ 2 proportional to $$T^2$$ 3 proportional to $$T^3$$ 4 zero
Subtopic:  Types of Velocities |
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh