Ideal Gas Equation

Q.

Find the dimensions of a/b in the equation:

P= (a-t^{​​​​2})/bx

Where

P is pressure, x is distance and t is time.

Q.

What is the value of R (Universal gas constant) in SI unit?

Q.

What is the value of Avogadros number?

Q.

In which of the following conditions, the distance between the molecules of hydrogen gas would increase?

(i) Increasing pressure on hydrogen contained in a closed container

(ii) Some hydrogen gas leaking out of the container

(iii) Increasing the volume of the container of hydrogen gas

(iv) Adding more hydrogen gas to the container without increasing the volume of the container

1. (a) (i) and (iii)

2. (b) (i) and (iv)

3. (c) (ii) and (iii)

4. (d) (ii) and (iv)

Q.

Does molarity increase or decrease with temperature?

Q.

A car tyre is filled with nitrogen gas at $35psi$ at $27{}^{°}C$. It will burst if pressure exceeds $40psi$. Find the temperature in${}^{°}C$ at which the car tyre will burst?

Q.

Avogadros number is the number of molecules present in (a) 1 g of molecule (b) 1 atom of molecule (c) 1 mole (d) 1 litre of molecule

1. 1 g of molecule

2. 1 atom of molecule

3. 1 mole

4. 1 litre of molecule

Q.

Five moles of an ideal gas at $293\mathrm{K}$ is expanded isothermally from an initial pressure of $2.1\mathrm{MPa}$ to $1.3\mathrm{MPa}$ against a constant external $4.3\mathrm{MPa}$. The heat transferred in this process is $\mathrm{\_\_\_\_\_\_\_\_}{\mathrm{kJmol}}^{-1}.$(Rounded-off the nearest integer).

(Use $\mathrm{R}=8.314\mathrm{J}{\mathrm{mol}}^{-1}{\mathrm{K}}^{-1}$)

Q.

A sample of air is saturated with benzene (vapour pressure $=100\mathrm{mm}\mathrm{Hg}\mathrm{at}298\mathrm{K})$$\mathrm{at}298\mathrm{K},750\mathrm{mm}\mathrm{Hg}\mathrm{pressure}$. If it is isothermally compressed to one-third of its initial volume, the final pressure of the system is:

Q. A thermometer is graduated in mm. It registers - 3mm when the bulb of thermometer is in pure melting ice and 22mm when the thermometer is in steam at a pressure of one atm. The temperature in ${}^{\circ }C$ when the thermometer registers 13mm is

1. 
2. 
3. 
4. 

Q.

Inflating a balloon seems to violate Boyles law. Why?

Q. An air bubble in a glass sphere having 4 cm diameter appears 1 cm from surface nearest to eye when looked along diameter. If ${\mu }_{ga}=1.5$, the distance of bubble from refracting surface is

1. 1.6 cm
2. 3.2 cm
3. 1.2 cm
4. 2.8 cm

Q.

What is the symbol used to represent Avogadros number?

Q.

Define Avogadros number. Why is it also known as Avogadros constant?

Q.

The figure here shows five paths traversed by a gas on a P-V diagram. Rank the paths according to the change in internal energy of the gas, greatest first.

1. 5 > 4 = 3 > 2 = 1

2. 5 > 4 = 3 > 1 = 2

3. 4 = 3 > 5 > 1 = 2

4. 5 > 4 = 3 = 2 = 1

Q.

What is $\mathrm{PV}=\mathrm{nRT}$ called?

Q.

The value $6.023\mathrm{x}{10}^{23}$ is also called

1. Mass number

2. Daltons number

3. Avogadros number

4. Atomic number

Q. The value of universal gas constant is

1. $3.81\text{J}{\text{mol}}^{-1}{\text{K}}^{-1}$
2. $8.03\text{J}{\text{mol}}^{-1}{\text{K}}^{-1}$
3. $8.31\text{J}{\text{mol}}^{-1}{\text{K}}^{-1}$
4. $1.38\text{J}{\text{mol}}^{-1}{\text{K}}^{-1}$

Q.

Calculate the volume strength of $1.5\mathrm{N}{\mathrm{H}}_2{\mathrm{O}}_2$.

1. 4.8L

2. 8.4L

3. 3.0L

4. 8.0L

Q.

An ideal gas at 1 bar is heated from 273 K to 373 K at constant pressure. If its initial volume is 5.46 L, what will be the final volume?

1. 7.46 L

2. 1.865 L

3. 5.46 L

4. 6 L

Q.

The gas in a refrigerator causes cooling on expansion because:
(a) The density of gas goes down
(b) Heat of the gas is lost as work is done by the gas
(c) Work done by the gas is converted into he

Q.

Keeping the volume constant, the pressure of a gas varies______with temperature.(directly/inversely)

Q.

Oxygen oxidises ethyne to carbon dioxide and water as shown by the equation:
$2{\mathrm{C}}_2{\mathrm{H}}_2+5{\mathrm{O}}_2\to 4{\mathrm{CO}}_2+2{\mathrm{H}}_2\mathrm{O}$
What volume of ethyne gas at s.t.p. is required to produce $8.4d{m}^3$ of carbon dioxide at s.t.p.?
$[H=1,C=12,O=16]$

Q. A vessel has $6$g of hydrogen at pressure P and temperature $500$K. A small hole is made in it so that hydrogen leaks out. How much hydrogen leaks out if the final pressure is $\frac{P}{2}$ and temperature falls to $300$K?

1. $4$g
2. $2$g
3. $1$g
4. $3$g

Q. By what percentage should the pressure of a given mass of a gas be increased so as to decrease its volume by 10% at a constant temperature?

1. 9.1%
2. 10.1%
3. 8.1%
4. 11.1%

Q. The least penetrating radiation is :

1. γ-radiations
   
2. β-particles
   
3. X-rays
4. α-particles

Q.

In the given figure, when temperature is increased then which of the following increases.

1. $R_2-R_1$

2. All of these

3. $R_1$

4. $R_2$

Q. Forward movement of the piston in the steam engine is called the exhaust stroke.

1. True
2. False

Q.

Give four reasons for using mercury as a barometric liquid in a simple barometer.

Q.

Which is correct about Ideal gas?

1. $\frac{V_1}{T_1}=\frac{V_2}{T_2}$

2. $P_1{V}_1=P_2{V}_2$

3. $\frac{P_1{V}_1}{T_1}=\frac{P_1{V}_2}{T_2}$

4. $V_1{T}_1=V_2{T}_2$