Ideal Gas Equation

Q.

What is R for water?

Q. $11$ g of $C_3{H}_8$ is filled in a bulb having $1$ litre capacity which can withstand a maximum pressure of $10$ atm. At what temperature will the pressure of gas reach the bursting limit?

1. ${365.89}^{\circ }\text{C}$
2. ${124.21}^{\circ }\text{C}$
3. ${214.21}^{\circ }\text{C}$
4. ${487.21}^{\circ }\text{C}$

Q. Assertion: When 4 moles of $H_2$ react with 2 moles of $O_2$, then 4 moles of water is formed.
Reason: $O_2$ will act as the limiting reagent

1. Both the assertion and the reason are true, and the reason is the correct explanation of the assertion.
2. Both the assertion and the reason are true, but the reason is not the correct explanation of the assertion.
3. The assertion is true, but the reason is false.
4. Both the assertion and the reason are false statements.

Q. Which of the following gas molecule has the largest mean free path at the same pressure and temperature ?

1. $H_2$
2. $N_2$
3. $C{l}_2$
4. $O_2$

Q. At what temperature is the root mean square speed of $N_2$ gas equal to that of propane gas at STP?

1. ${173.7}^{\circ }\text{C}$
2. $173.7\text{K}$
3. $273\text{K}$
4. $-{40}^{\circ }\text{C}$

Q. Given the reaction:
$H_{2}S{O}_4\left(aq\right)+2LiOH\left(aq\right)\to L{i}_{2}S{O}_4\left(aq\right)+2H_{2}O\left(l\right)$
If you have 140 g of $H_{2}S{O}_4$ and 65 g of LiOH, calculate the mass of water produced?

1. 48.78 g
2. 26.62 g
3. 55.39 g
4. 38.15 g

Q. When an ideal gas undergoes unrestrained expansion, no cooling occurs because the molecules:

1. Are above the inversion temperature
2. Exert no attractive forces on each other
3. Do work equal to the loss in kinetic energy
4. Collide without loss of energy

Q. If the rms velocity of nitrogen and oxygen molecule are same at two different temperature and same pressure then

1. Average speed of molecules is also same.
2. density (gm/lt.) of nitrogen and oxygen is also equal.
3. Number of moles of each gas is also equal.
4. most probable velocity of molecules is also equal.

Q. A balloon containing 1 mol of air initiallyat 1 atm is filled further with air till the pressure increases to 4 atm. The initial diameter of the balloon is $1\text{m}$ and the pressure at each stage is proportional to diameter of the balloon. How many moles of air was to change the pressure from 1 atm to 4 atm?

1. $80$
2. $257$
3. $255$
4. $256$

Q. $3.7\text{g}$ of a gas at $25{}^{\circ }\text{C}$ occupies the same volume as $0.184\text{g}$ of hydrogen at $17{}^{\circ }C$ and at the same pressure. What is the molar mass of the gas in grams (g)?

1. 41.33
2. 55.26
3. 15.38
4. 33.69

Q. A spherical balloon is to be filled up with hydrogen at NTP from a cylinder containing the gas at 20 atm and ${27}^{\circ }C$. If the cylinder can hold 8.21 litres of water and one balloon can contain maximum of 0.3165 moles of hydrogen, then the number of balloons that can be filled up are : (Summed upto the nearest integer)

1. $11$
2. $6$
3. $20$
4. $31$

Q. A mixture of carbon monoxide and carbon dioxide is found to have a density of $1.7\text{g/L}$ at S.T.P. The mole fraction of carbon monoxide is:

1. 0.37
2. 0.4
3. 0.3
4. 0.5

Q. If for two gases of molecular weights $M_A$ and $M_B$ at temperature $T_A$ and $T_B$; $T_A{M}_B=T_B{M}_A$, then which property has the same magnitude for both the gases.

1. Density
2. Kinetic energy per mol
3. RMS speed
4. Pressure

Q. Given $P_{atm}=76\text{cm of Hg}$.
When the tube is held at an angle of ${45}^{\circ }$ to the plane with the open end up, what should be the length of air column?

1. 12 cm
2. 11.17 cm
3. 11.0 cm
4. 10.8 cm

Q.

$4\mathrm{g}$ argon (Atomic mass $=40$) in a bulb at a temperature of TK has a pressure ‘P’ atm. When the bulb was placed in a hot bath at a temperature of $50°\mathrm{C}$ more than the first one, $0.8\mathrm{g}$ of gas had to be removed to get the original pressure. T is equal to:

Q. Molar volume of $C{O}_2$ is maximum at:

1. $0^{\circ }\text{C}$ and $2.0\text{atm}$
2. S.T.P
3. ${273}^{\circ }\text{C}$ and $2\text{atm}$
4. ${127}^{\circ }\text{C}$ and $1\text{atm}$

Q. A $821\text{mL}{N}_2\left(g\right)$ was collected over liquid water at $300\text{K}$ and 1 atm. If the vapour pressure of $H_{2}O$ is 30 torr then number of moles of $N_2\left(g\right)$ in the moist gas mixture is:

1. $0.39$
2. $0.032$
3. $0.96$
4. $0.0013$

Q. Given $P_{atm}=76\text{cm of Hg}$.
When the tube is held at an angle of ${45}^{\circ }$ to the plane with the open end up, what should be the length of air column?

1. 12 cm
2. 11.17 cm
3. 11.0 cm
4. 10.8 cm

Q. A spherical balloon of $21\text{cm}$ diameter is to be filled up with $H_2$ at NTP from a cylinder containing the gas having a pressure of $20$ atm at ${27}^{\circ }$C. The cylinder can hold $2.82$ litre of water. The number of balloons that can be filled up is:

1. $11$
2. $10$
3. $8$
4. $1$

Q. Consider the composite system, which is held at $300K$, shown in the following figure. Assuming ideal gas behavior, calculate the total pressure (in atm) if the barriers separating the compartments are removed. Assume that the volume of the barriers is negligible. (Given: $R=0.082atmL/mol.K)$

Q. Calculate the number of hours of service that can be derived at $1\text{atm}$ and $300\text{K}$ from an acetylene lamp containing $640\text{g}$ of calcium carbide. Given that the lamp requires $50\text{L}$ acetylene gas at $1\text{atm}$ and $300\text{K}$ for one hour. [Take $0.0821\times 300=25$]

1. 5 hr
2. 6 hr
3. 5.5 hr
4. 6.5 hr

Q. Given $P_{atm}=76\text{cm of Hg}$.
The length of the air column in fig, when the open end is placed vertically down is:

1. 10.85 cm
2. 11.41 cm
3. 12.85 cm
4. 13.41 cm

Q. An evacuated glass vessel weighs $50.0\text{g}$ when it is empty and $148.0\text{g}$ when it is filled with a liquid having a density of $0.98{\text{g/mL}}^{-1}$ and $50.5\text{g}$ when it is filled with an ideal gas at $760\text{mm}Hg$ and $300\text{K}$. Determine the molecular weight of the gas (round off to the nearest possible integer).

Q. $N_2+3H_2\to 2N{H}_3$
1 mol of $N_2$ and 4 mol of $H_2$ are taken in a $15\text{L}$ flask at ${27}^{\circ }\text{C}$. After the complete conversion of $N_2$ into $N{H}_3$, $5\text{L}$ of $H_{2}O$ is added. The pressure set up in the flask is:

1. $\frac{3\times 0.0821\times 300}{15}\text{atm}$
2. $\frac{2\times 0.0821\times 300}{10}\text{atm}$
3. $\frac{1\times 0.0821\times 300}{15}\text{atm}$
4. $\frac{1\times 0.0821\times 300}{10}\text{atm}$

Q. A Spherical balloon of diameter 21cm is to be filled with $H_2$ gas at 27°C and 1 atm pressure from a cylinder containing gas at 10 atm at 27°C. If the volume of the cylinder is 2.695 L. Calculate the number of balloons that can be filled ___

Q. When $2g$ of a gas A is introduced into an evacuated flask kept at ${25}^{\circ }\text{C}$, the pressure is found to be $1atm$. If $3g$ of another gas B is then added to the same flask at the same temperature, the total pressure becomes $1.5atm$. Assuming ideal gas behaviour, the value of $\frac{M_B}{M_A}$to the nearest integer is :

Q. 10 g of $C_2{H}_6$ is filled in a bulb having 1 litre capacity which can withstand a maximum pressure of 10 atm. At what temperature will the pressure of gas reach the bursting limit?

1. $76{}^{\circ }\text{C}$
2. $361.4{}^{\circ }\text{C}$
3. $92.4{}^{\circ }\text{C}$
4. $120{}^{\circ }\text{C}$

Q. An open container contains a certain gas and is heated from $27{}^{\circ }C$ to $127{}^{\circ }C$. What mole percentage of the gas escapes from the container?

1. 25%
2. 33%
3. 40%
4. 50%

Q. A $3\text{L}$ container has a gas at $4\text{atm}$ pressure and $27{}^{\circ }\text{C}$. If $2\text{L}$ of the same gas at $2\text{atm}$ is added to this container at same temperature, then what will be the new pressure in the container?

1. $4\text{atm}$
2. $4.6\text{atm}$
3. $5.3\text{atm}$
4. $6.06\text{atm}$

Q. 400 mL of hydrogen gas at a pressure of 300 mm $Hg$ and 200 mL of hydrogen chloride gas at a pressure of 600 mm $Hg$ are mixed in a one litre evacuated flask. Calculate the resulting pressure (in $\text{mm Hg}$) of the mixture at the same temperature.