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GradeKinetic theory of Gases

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The molar specific heat of oxygen at constant pressure ${C_p} = 7.03cal/mol^\circ C$ and$R = 8.32J/mol^\circ C$ . The amount of heat taken by 5 moles of oxygen when heated at constant volume from $10^\circ C$ to $20^\circ C$ will be approximately.

A. 25 cal

B. 50 cal

C. 253 cal

D. 500 cal

A. 25 cal

B. 50 cal

C. 253 cal

D. 500 cal

Determine the gas temperature at which

(a) The root mean square velocity of hydrogen molecules exceeds their most probable velocity by $ \Delta v = 400m/s $ .

(b) The velocity distribution function $ F(v) $ for the oxygen molecules will have the maximum value at the velocity $ v = 420m/s $ .

(a) The root mean square velocity of hydrogen molecules exceeds their most probable velocity by $ \Delta v = 400m/s $ .

(b) The velocity distribution function $ F(v) $ for the oxygen molecules will have the maximum value at the velocity $ v = 420m/s $ .

Sketch the graph of $PV$ vs $P$ when the temperature of the gas is constant. Here $P$ means pressure and V means volume - showing you the direct relationship b/w P and V (by using pV). How to sketch it?

At critical temperature, pressure and volume. The compressibility factor $(Z)$ is:

$(1)\dfrac{8}{3}$

$(2)\dfrac{5}{3}$

$(3)\dfrac{3}{5}$

$(4)\dfrac{3}{8}$

$(1)\dfrac{8}{3}$

$(2)\dfrac{5}{3}$

$(3)\dfrac{3}{5}$

$(4)\dfrac{3}{8}$

Does Boyle’s Law state that as volume increases, pressure decreases or as pressure increases, volume decreases?

Which of the following is not a property of a gas?

A. The gases have very high compressibility. On applying pressure, gas molecules come closer and decrease the volume of a gas.

B. Gases can expand to fill the containers.

C. Gases have a specific shape or volume.

D. They are less dense than solids or liquids.

A. The gases have very high compressibility. On applying pressure, gas molecules come closer and decrease the volume of a gas.

B. Gases can expand to fill the containers.

C. Gases have a specific shape or volume.

D. They are less dense than solids or liquids.

If the density of the gas is $4kg{\text{ }}{m^{ - 3}}$ and its pressure is $1.2 \times {10^5}N{\text{ }}{m^{ - 2}}$ , how do I calculate the root-mean-square speed?

When air at $300\,K$ and $1\,atm$ pressure is compressed to one-twentieth of its original volume and $30\,atm$ pressure, the new temperature will be?

Root mean square speed of $ {N_2} $ in air is $ 515\dfrac{m}{s} $ . What is the average speed of $ He $ gas in the same air?

Is temperature directly proportional to pressure?

The osmotic pressure of solution increases if:

A) Temperature is decreased

B) Solution concentration is increased

C) Number of solute molecules is increased

D) Volume is increased

A) Temperature is decreased

B) Solution concentration is increased

C) Number of solute molecules is increased

D) Volume is increased

If \[R\] is universal gas constant, the amount of heat needed to raise the temperature of \[2moles\] of an ideal monatomic gas from \[273{\text{ }}K\] to \[373{\text{ }}K\] when no work is done.

A. $100R$

B. $150R$

C. $300R$

D. $500R$

A. $100R$

B. $150R$

C. $300R$

D. $500R$

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