# 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 |
64%
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AIPMT - 2010
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In a vessel, the gas is at a pressure $$P$$. If the mass of all the molecules is halved and their speed is doubled, then the resultant pressure will be:
1. $$2 P$$
2. $$P$$
3. $$\frac{P}{2}$$
4. $$4 P$$
Subtopic:  Kinetic Energy of an Ideal Gas |
64%
From NCERT
NEET - 2013
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At $$10^{\circ}\mathrm{C}$$ the value of the density of a fixed mass of an ideal gas divided by its pressure is $$x$$. At $$110^{\circ}\mathrm{C}$$ this ratio is:

 1 $$x$$ 2 $$\dfrac{383}{283}x$$ 3 $$\dfrac{10}{110}x$$ 4 $$\dfrac{283}{383}x$$
Subtopic:  Ideal Gas Equation |
69%
From NCERT
AIPMT - 2008
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The amount of heat energy required to raise the temperature of $$1$$ g of Helium at NTP, from $${T_1}$$ K to $${T_2}$$ K is:
1. $$\frac{3}{2}N_ak_B(T_2-T_1)$$
2. $$\frac{3}{4}N_ak_B(T_2-T_1)$$
3. $$\frac{3}{4}N_ak_B\frac{T_2}{T_1}$$
4. $$\frac{3}{8}N_ak_B(T_2-T_1)$$

Subtopic:  Specific Heat |
51%
From NCERT
AIPMT - 2013
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In the given $${(V\text{-}T)}$$ diagram, what is the relation between pressure $${P_1}$$ and $${P_2}$$

 1 $$P_2>P_1$$ 2 $$P_2 Subtopic: Ideal Gas Equation | 83% From NCERT AIPMT - 2013 To view explanation, please take trial in the course. NEET 2025 - Target Batch Hints Links To view explanation, please take trial in the course. NEET 2025 - Target Batch The mean free path of molecules of a gas (radius \(r$$) is inversely proportional to:
1. $$r^3$$
2. $$r^2$$
3. $$r$$
4. $$\sqrt{r}$$

Subtopic:  Mean Free Path |
84%
From NCERT
AIPMT - 2014
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The ratio of the specific heats $$\frac{{C}_{{P}}}{{C}_{{V}}}=\gamma$$  in terms of degrees of freedom($$n$$) is given by:

 1 $$\left(1+\frac{1}{n}\right )$$ 2 $$\left(1+\frac{n}{3}\right)$$ 3 $$\left(1+\frac{2}{n}\right)$$ 4 $$\left(1+\frac{n}{2}\right)$$​

Subtopic:  Specific Heat |
77%
From NCERT
NEET - 2015
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One mole of an ideal diatomic gas undergoes a transition from $$A$$ to $$B$$ along a path $$AB$$ as shown in the figure.

The change in internal energy of the gas during the transition is:

 1 $$20$$ kJ 2 $$-20$$ kJ 3 $$20$$ J 4 $$-12$$ kJ

Subtopic:  Law of Equipartition of Energy |
68%
From NCERT
NEET - 2015
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Two vessels separately contain two ideal gases $$\mathrm{A}$$ and $$\mathrm{B}$$ at the same temperature, the pressure of $$\mathrm{A}$$ being twice that of $$\mathrm{B}$$. Under such conditions, the density of $$\mathrm{A}$$ is found to be $$1.5$$ times the density of $$\mathrm{B}$$. The ratio of molecular weight of $$\mathrm{A}$$ and $$\mathrm{B}$$ is:

 1 $$\frac{2}{3}$$ 2 $$\frac{3}{4}$$ 3 $$2$$ 4 $$\frac{1}{2}$$
Subtopic:  Ideal Gas Equation |
86%
From NCERT
NEET - 2015
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