Boyle's Law

Q. $\text{I, II, III}$ are three isotherms respectively at $T_1,T_2$ and $T_3$. Temperature will be in the order:

1. $T_1=T_2=T_3$
2. $T_1<T_2<T_3$
3. $T_1>T_2>T_3$
4. $T_1>T_2=T_3$

Q. Volume of an ideal gas is to be decreased by 10% and the pressure increases by x% under isothermal condition. Thus, x is

1. 10
2. $\frac{9}{100}$
3. $\frac{100}{9}$
4. $\frac{1}{10}$

Q. On the surface of the earth at $1\text{atm}$ pressure, a balloon filled with $H_2$ gas occupies $500\text{mL}$, the volume being $5/6$ of its maximum capacity. The balloon is left in air. It starts rising. The height above which the balloon will burst if temperature of the atmosphere remains constant and the pressure decreases by $1\text{mm}$ of Hg for every $100\text{cm}$ rise of height is?

1. $120\text{m}$
2. $136.67\text{m}$
3. $126.67\text{m}$
4. $100\text{m}$

Q. $2.5\text{L}$ of a sample of a gas at ${27}^{\circ }\text{C}$ and $1\text{bar}$ pressure is compressed to a volume of $500\text{mL}$ keeping the temperature constant. The percentage increase in the pressure is:

1. 100%
2. 400%
3. 500%
4. 80%

Q. Which of the following graph represent Boyle's law?

Q.

State Boyles law Equation

Q. In Langmuir's model of adsorption of a gas on a solid surface

1. The rate of dissociation of adsorbed molecules from the surface does not depend on the surface covered
2. The mass of gas striking a given area of surface is independent of the pressure of the gas
3. The mass of gas striking a given area of surface is proportional to the pressure of the gas
4. The adsorption at a single site on the surface may involve multiple moloecules at the same time

Q. On a ship sailing in the Pacific ocean, where the temperature is ${23.4}^{\circ }\text{C}$, a balloon is filled with $2\text{L}$ of air. What will be the volume of the balloon when the ship reaches the Indian ocean, where the temperature is ${26.1}^{\circ }\text{C}$?

1. $2.018\text{L}$
2. $4.036\text{L}$
3. $8.72\text{L}$
4. $9.5\text{L}$

Q. A $10.0\text{cm}$ column of air is trapped by a column of 4 cm long $Hg$ in a capillary tube of uniform bore when the tube is held horizontally at $1\text{atm}$. The length of the air column when the tube is held vertically with the open end up is:
Given: $P_{atm}=76$ cm of Hg

1. $3.53\text{cm}$
2. $10.52\text{cm}$
3. $9.50\text{cm}$
4. $4.61\text{cm}$

Q.

The straight line $\frac{x}{a}+\frac{y}{b}=2$ touches the curve ${\left(\frac{x}{a}\right)}^n+{\left(\frac{y}{b}\right)}^n=2$ at the point $(a,b)$ for

1. $n=1,2$

2. $n=3,4,-5$

3. $n=1,2,3$

4. any value of $n$

Q.

190.0 ml of $N_2$ was collected in a jar over water at some temperature, water level inside and outside the jar standing at the same height. If barometer reads 740 mm Hg and aqueous tenstion at the temperature of the experiment is 20 mm Hg, the volume of the gas at 1 atm pressure and at the same temperature would be ?

1. 180.0 mL

2. 195.0 mL

3. 200 mL

4. 185.0 mL

Q. Which of the following plots does not represent Boyle’s law?

1. 
2. 
3. 
4. 

Q.

What is the relationship between density and pressure?

1. $\frac{d_1}{p_1}=\frac{d_2}{p_2}$

2. $\frac{d_1}{p_2}=\frac{d_2}{p_1}$

3. $d_1=2p_1$

4. $d_2=2p_2$

Q.

The graph of$\mathrm{y}=\log \mathrm{x}$ cuts the $x-axis$at

Q. A gas has an initial pressure of 450 mmHg and a volume of 5 L. Find the final pressure in kPa when the volume is increased to 15 L assuming the temperature of the system is constant.

1. 20
2. 30
3. 40
4. 15

Q. On the surface of the earth at $1\text{atm}$ pressure, a balloon filled with $H_2$ gas occupies $500\text{mL}$, the volume being $5/6$ of its maximum capacity. The balloon is left in air. It starts rising. The height above which the balloon will burst if temperature of the atmosphere remains constant and the pressure decreases by $1\text{mm}$ of Hg for every $100\text{cm}$ rise of height is?

1. $120\text{m}$
2. $136.67\text{m}$
3. $126.67\text{m}$
4. $100\text{m}$

Q. In Figure I an air column of length $l_1$, is entrapped by a column of $Hg$ of length $8\text{cm}$. In Figure II length of same air column at the same temperature is $l_2$. Then $l_1/l_2$ is?
(1 atm = $76\text{cm of}Hg$)

1. $1+\frac{2}{19}\times \cos \theta$
2. $1+\frac{2}{19}\times \sin \theta$
3. $1+\frac{2}{21}\times \sin \theta$
4. $\frac{21}{19}$

Q.

The following graph correctly reflects log P vs log $\left(\frac{1}{V}\right)$ for a finite amount of gas at a constant temperature - True or False?

1. True

2. False

Q. The initial pressure of a gas is $1\text{atm}$. To compress it to $1/4^{th}$ of its initial volume, what will be the pressure required at constant temperature?

1. $1\text{atm}$
2. $2\text{atm}$
3. $1\text{torr}$
4. $4\text{atm}$

Q.

Which of the following is/ are the correct graphical representation of Boyle's Law?

1. 

2. 

3. Both A and B

4. Neither A nor B

Q. $2.5\text{L}$ of a sample of a gas at ${27}^{\circ }\text{C}$ and $1\text{bar}$ pressure is compressed to a volume of $500\text{mL}$ keeping the temperature constant. The percentage increase in the pressure is:

1. 100%
2. 400%
3. 500%
4. 80%

Q. The diameter of a bubble at the surface of a lake is $4\text{mm}$ and at the bottom of the lake is $1\text{mm}$. If the atmospheric pressure is $1\text{atm}$ and the temperature of the lake and the atmosphere are equal, what is the depth of the lake?
(The density of the lake and mercury are $1\text{g/ml}$ and $13.6\text{g/ml}$ respectively. Ignore the surface tension)

1. $453\text{m}$
2. $651\text{m}$
3. $784\text{m}$
4. $102\text{m}$

Q. Volume of an ideal gas is to be decreased by 10% by increase of pressure by $x\%$ under isothermal condition. Thus, $x$ is

1. $\frac{9}{100}$
2. $\frac{100}{9}$
3. $10$
4. $\frac{1}{10}$

Q.

Two glass bulbs A and B are connected by very small tube having a stop cock. Bulb A has a volume of 100 ml and contained the gas while bulb B was empty and has a volume of 150 ml. On opening the stop cock, the pressure of the gas in bulb A will fall down to___.

1. 80%

2. 60%

3. 40%

4. 20%

Q. Volume of an ideal gas is to be decreased by 10% by increase of pressure by $x\%$ under isothermal condition. Thus, $x$ is

1. $\frac{9}{100}$
2. $\frac{100}{9}$
3. $10$
4. $\frac{1}{10}$

Q.

If the curves $\frac{x^2}{a^2}+\frac{y^2}{16}=1$ and $y^3=8x$ intersect at right angles, then $a^2$ is equal to :

1. $\frac{16}{3}$

2. $12$

3. $8$

4. $4$

5. $2$

Q. On the surface of the earth at $1\text{atm}$ pressure, a balloon filled with $H_2$ gas occupies $500\text{mL}$, the volume being $5/6$ of its maximum capacity. The balloon is left in air. It starts rising. The height above which the balloon will burst if temperature of the atmosphere remains constant and the pressure decreases by $1\text{mm}$ of Hg for every $100\text{cm}$ rise of height is?

1. $120\text{m}$
2. $136.67\text{m}$
3. $126.67\text{m}$
4. $100\text{m}$

Q.

A collapsible balloon is inflated to a volume of 10 L at a pressure of 1 atm. When the balloon is immersed to the bottom of a lake, its volume reduces to 1.25 L. Assuming 1 atm pressure to be equivalent to 10 m column of water and no change in temperature, the depth of the lake will be

1. 70 m

2. 80 m

3. 90 m

4. None of these

Q.

What is the relationship between density and pressure?

1. $\frac{d_1}{p_1}=\frac{d_2}{p_2}$

2. $\frac{d_1}{p_2}=\frac{d_2}{p_1}$

3. $d_1=2p_1$

4. $d_2=2p_2$

Q. At a constant temperature a gas is initially at 2 atm pressure. To compress it to $(\frac{1}{8}{)}^{th}$ of its initial volume, pressure to be applied is

1. 4 atm

2. 8 atm

3. 12 atm

4. 16 atm