Ideal Gas Equation

Q.

Pressure inside two soap bubbles are 1.01 and 1.02 atmospheres. Ratio between their volumes is

1. 2 : 1

2. 102 : 101

3. (102)³ : (101)³

4. 8 : 1

Q.

An insulated box containing a diatomic gas of molar mass $M$ is moving with a velocity $v$. If the box is suddenly stopped, the resulting change in temperature is ($R$ is the gas constant)

1. 

2. 

3. 

4. 

Q.

The internal energy of a monatomic ideal gas is 1.5 nRT. One mole of helium is kept in a cylinder of cross section 8.5$c{m}^2$. The cylinder is closed by a light frictionless piston. The gas is heated slowly in a process during which a total of 42 J heat is given to the gas. If the temperature rises through $2^{\circ }C$, find the distance moved by the position. Atmospheric pressure = 100 kPa

1. 20 cm

2. 20 mm

3. 25 mm

4. 2.5 cm

Q.

The quantity $\frac{pV}{kT}$ represents

1. mass of the gas

2. kinetic energy of the gas

3. number of moles of the gas

4. number of molecules in the gas

Q. Two containers of equal volume contain the same gas at pressure P1 and P2 and temperatures T1 and T2, respectively.On joining the vessels, the gas reaches a common pressure P and common temperature T.The ratio P/T is equal t

Q. 20 The temperature of 15 ml of a strong acid increases by 2degree Celsius when 15 ml of a strong base is added to it. If 5 ml of each are mixed, temperature should increase by (1) 0.6C (2) 0.3C (3) 2C (4) 6C

Q. When 229 J energy is supplied as heat at constant pressure to 3 Mol AR gas, the temp of sample is increased by 2.55 k, calculate molar heat capacity at constant volume

Q.

The mass of an oxygen molecule is about 16 times that of a hydrogen molecule. At room Temperature the rms speed of oxygen molecules is $v$. The rms speed of the hydrogen molecules at the same temperature will be

1. v/16

2. 4v

3. 16v

4. v/4

Q.

The average kinetic energy of a molecule in an ideal gas is

1. proportional to the volume

2. proportional to the absolute temperature of the gas

3. depends on the nature of the ideal gas.

4. proportional to the pressure

Q. the escape velocity of a spherical planet is vo what is the escape veocity corresponding to another planet of twice the radius and half the mean density. 1) (\sqrt{2)} vo 2) vo/\sqrt2 3) 2vo 4) 4v

Q. 112.A satellite of mass m is revolving close to surface of a planet of density d with time period T. The value of G on planet is??

Q. the gas laws PV/T =CONSTANT IS VALID FOR isothermal , adiabatic , both or neither of them?

Q. 7. The raise in the temperature of a given mass of an ideal gas at constant pressure and at temperature 27 to double its volume is (1) 327C (3) 300C (2) 54C (4) 600C

Q.

The isothermal bulk modulus of a perfect gas at normal pressure is

1. 

2. 

3. 

4. 

Q. 106.The temp at which RMS speed of a gas will be half its value at 0 c is ( assume the pressure remains cons†an t

Q.

The absolute temperature of a gas is determined by

1. The average momentum of the molecules

2. The mean square velocity of the molecules

3. The number of molecules in the gas

4. The mass of the gas

Q. 34. A tube of length h(which is wide enough so that surface tension is neglected) filled with air and closed at one end is lowered in a tank of mercury to a depth h so that mercury rises a distance x into the tube. If the mercury barometer also reads h, then

Q. 36.) Calculate the rms speed of an ideal diatomic gas having molecular weight 32 gm/mol at Oc If the specific heats at constant pressure and volume are respectively 29.1 J mol1 K an 20.8 cal mol K-1 respectively

Q. the density of steel at 0° is 8.0g/cc. at what temperature is density lesser by 0.1%. coefficient of linear thermal expansion is 10^-5+°c

Q.

A sample of gas expands from volume $V_1$ to $V_2$. The amount of work done by the gas is greatest when the expansion is

1. Isothermal

2. Isobaric

3. Adiabatic

4. Equal in all cases

Q.

The rate of steady volume flow of water through a capillary tube of length 'l' and radius 'r' under a pressure difference of P is V. This tube is connected with another tube of the same length but half the radius in series. Then the rate of steady volume flow through them is (The pressure difference across the combination is P)

1. 

2. 

3. 

4. 

Q. An ideal monoatomic gas is confined in a cylinder by a spring-loaded piston of cross-sectional area $8\times {10}^{-3}{\text{m}}^2$. Initially the gas is at $300\text{K}$ and occupies a volume of $2.4\times {10}^{-3}{\text{m}}^3$. The spring is in a relaxed state. The gas is heated by a small heater coil $H$. The force constant of the spring is $8000\text{N/m}$ and the atmospheric pressure is $1.0\times {10}^5\text{Pa}$. The cylinder and piston are thermally insulated. The piston and the spring are massless and there is no friction between the piston and cylinder. There is no heat loss through the heater coil wire and thermal capacity of the heater coil is negligible. With all the above assumptions, if the gas is heated by the heater until the piston moves out slowly by $0.1\text{m}$, then the final temperature is -

1. $400\text{K}$
2. $800\text{K}$
3. $1200\text{K}$
4. $300\text{K}$

Q. An ideal gas has volume v ai 27C .it is heated at constant pressure .so that, its volume becomes 2v .The final temperature is

Q. Increase in temperature of a gas filled in a container would lead to

1. increase in its mass.
2. increase in its kinetic energy.
3. decrease in its pressure.
4. decrease in intermolecular distance.

Q. The pull P is just sufficient to keep the 14N block in equilibrium as shown. Pulleys are ideal. Find the tension in upper cable connected with celling.

Q. Ratio of rotational kinetic energy to the total kinetic energy for diatomic gas molecule at room temperature is :

1. $2:5$
2. $5:2$
3. $3:2$
4. $2:3$

Q. a barometer is constructed with its tube having radius 1.0mm.assume that the surface of mercury in the tube is spherical in shape.if the atmospheric pressure is equal to 76cm of mercury, what will be the height raised in the barometer tube?the contact angle of mercury with glass =135degree and surface tension of mercury=0.465N/m.density of mercury=13600kg/m^3.

Q. A graph is plotted by taking pressure along y-axisand centigrade temperature along x-axis for an idealgas at constant volume. x intercept of the graph is

Q. 50.A steel tank is filled with a gas at 150 atmosphere and at 20.If the pressure raise to 250 atmospheres, the tank explodes.Find the temperature at which the explodes

Q. Explain why it is not advisable to sterilise a clinical thermometer on boiling water at normal atmospheric temperature.