The specific heat of 1 mole of an ideal gas at constant pressure $\left({\mathrm{C}}_{\mathrm{P}}\right)$ and at constant volume $\left({\mathrm{C}}_{\mathrm{V}}\right)$ which is correct

1. ${\mathrm{C}}_{\mathrm{P}}$ of hydrogen gas is $\frac{5}{2}\mathrm{R}$

2. ${\mathrm{C}}_{\mathrm{V}}$ of hydrogen gas is $\frac{7}{2}\mathrm{R}$

3. ${\mathrm{H}}_{2}$ has very small values of ${\mathrm{C}}_{\mathrm{P}}$ and ${\mathrm{C}}_{\mathrm{V}}$

4. ${\mathrm{C}}_{\mathrm{P}}-{\mathrm{C}}_{\mathrm{V}}=$ 1.99 cal/mole-K for ${\mathrm{H}}_{2}$

Concept Questions :-

Specific heat
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One mole of ideal monoatomic gas $\left(\mathrm{\gamma }=5/3\right)$ is mixed with one mole of diatomic gas $\left(\mathrm{\gamma }=7/5\right)$. What is $\mathrm{\gamma }$ for the mixture? $\mathrm{\gamma }$ denotes the ratio of specific heat at constant pressure, to that at constant volume

1.  3/2

2.  23/15

3.  35/23

4.  4/3

Concept Questions :-

Specific heat
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A gaseous mixture contains equal number of hydrogen and nitrogen molecules. Specific heat measurements on this mixture at temperatures below 100 K would indicate that the value of $\mathrm{\gamma }$ (ratio of specific heats) for this mixture is

1.  3/2

2.  4/3

3.  5/3

4.  7/5

Concept Questions :-

Specific heat
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One mole of monoatomic gas and three moles of diatomic gas are put together in a container. The molar specific heat  at constant volume is

1.  18.7

2.  18.9

3.  19.2

4.  None of the above

Concept Questions :-

Specific heat
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The number of translational degrees of freedom for a diatomic gas is

1.  2

2.  3

3.  5

4.  6

Concept Questions :-

Specific heat
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For a gas if ratio of specific heats at constant pressure and volume is $\mathrm{\gamma }$ then value of degrees of freedom is

1.  $\frac{3\mathrm{\gamma }-1}{2\mathrm{\gamma }-1}$

2.  $\frac{2}{\mathrm{\gamma }-1}$

3.  $\frac{9}{2}\left(\mathrm{\gamma }-1\right)$

4.  $\frac{25}{2}\left(\mathrm{\gamma }-1\right)$

Concept Questions :-

Specific heat
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If a gas has n degrees of freedom ratio of specific heats of gas is

1.  $\frac{1+\mathrm{n}}{2}$

2.  $1+\frac{1}{\mathrm{n}}$

3.  $1+\frac{\mathrm{n}}{2}$

4.  $1+\frac{2}{\mathrm{n}}$

Concept Questions :-

Specific heat
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A gaseous mixture consists of 16g of helium and 16g of oxygen. The ratio $\frac{{\mathrm{C}}_{\mathrm{P}}}{{\mathrm{C}}_{\mathrm{V}}}$ of the mixture is

1.  1.4

2.  1.54

3.  1.59

4.  1.62

Concept Questions :-

Specific heat
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The pressure exerted by the gas on the walls of the container because

1. It loses kinetic energy

2. It sticks with the walls

3. On collision with the walls there is a change in momentum

4. It is accelerated towards the walls

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Kinetic energy of gas
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Gas at a pressure ${\mathrm{P}}_{0}$ is contained in a vessel. If the masses of all the molecules are halved and their speeds are doubled, the resulting pressure P will be equal to

1.  $4{\mathrm{P}}_{0}$

2.  $2{\mathrm{P}}_{0}$

3.  ${\mathrm{P}}_{0}$

4.  $\frac{{\mathrm{P}}_{0}}{2}$

Concept Questions :-

Types of velocity
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