In the given \({(V\text{-}T)}\) diagram, what is the relation between pressure \({P_1}\) and \({P_2}\)
              

1. \(P_2>P_1\) 2. \(P_2<P_1\)
3. cannot be predicted 4. \(P_2=P_1\)

Subtopic:  Ideal Gas Equation |
 83%
From NCERT
AIPMT - 2013
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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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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 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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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%
From NCERT
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. \(\dfrac{P}{2}\)
4. \(4 P\)
Subtopic:  Kinetic Energy of an Ideal Gas |
 64%
From NCERT
NEET - 2013
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