2.0 g of H2 gas is adsorbed on 2.5 g of platinum powder at 300 K and 1 bar pressure. The volume of the gas adsorbed per gram of the adsorbent is _____ mL.
(Given : R= 0.083 L bar K–1 mol–1)
(Given : R= 0.083 L bar K–1 mol–1)
Correct Answer: 9960
Solution and Explanation
\(PV = nRT\)
\(V=\frac {(2×0.083×300)}{2×1}\)
\(V=24.9\) litre
∴ Volume of the gas adsorbed per gram of the adsorbent
\(=\frac {24.9}{2.5}\)
\(=9.96\ L\)
\(= 9960\ ml\)
Top Questions on Ideal gas equation
- One mole of an ideal gas at 350K is in a 2.0 L vessel of thermally conducting walls, which are in contact with the surroundings. It undergoes isothermal reversible expansion from 2.0L to 3.0L against a constant pressure of 4 atm. The change in entropy of the surroundings (ΔS) is JK (Nearest integer) Given: R = 8.314 J K-1 Mol-1.
- JEE Main - 2023
- Chemistry
- Ideal gas equation
- The stoichiometric reaction of 516 g of dimethyldichlorosilane with water results in a tetrameric cyclic product X in 75% yield. The weight (in g) of X obtained is___. [Use, molar mass (g mol−1): H = 1, C = 12, O = 16, Si = 28, Cl = 35.5]
- JEE Advanced - 2023
- Chemistry
- Ideal gas equation
- The total pressure of a mixture of non-reacting gases $X (0.6 \,g )$ and $Y (0.45 \, g )$ in a vessel is $740 mm$ of $Hg$ The partial pressure of the gas $X$ is ____$mm$ of $Hg$(Nearest Integer)(Given : molar mass $X =20$ and $Y =45 \, g \, mol ^{-1}$ )
- JEE Main - 2023
- Chemistry
- Ideal gas equation
- A certain quantity of real gas occupies a volume of 30.15 dm3 at 100 atm and 500 K when its compressibility factor is 1.07. Its volume at 300 atm and 300K (When its compressibility factor is 1.4) is _____ x 10-4 dm3 (Nearest integer)
- JEE Main - 2023
- Chemistry
- Ideal gas equation
A sealed flask with a capacity of $2\, dm ^3$ contains $11 \, g$ of propane gas The flask is so weak that it will burst if the pressure becomes $2\, MPa$ The minimum temperature at which the flask will burst is ______${ }^{\circ} C$ [Nearest integer]
(Given: $R =8.3 \,J \,K ^{-1} mol ^{-1}$ Atomic masses of $C$ and $H$ are $12\, u$ and $1 \,u$ respectively) (Assume that propane behaves as an ideal gas)
- JEE Main - 2023
- Chemistry
- Ideal gas equation
Questions Asked in JEE Main exam
- The coordination geometry around the manganese in decacarbonyldimanganese(0) is
- JEE Main - 2024
- coordination compounds
- Given below are two statements:
Statement (I) : The NH2 group in Aniline is ortho and para directing and a powerful activating group.
Statement (II) : Aniline does not undergo Friedel- Craft’s reaction (alkylation and acylation). In the light of the above statements
Choose the most appropriate answer from the options given below :- JEE Main - 2024
- Aromaticity & chemistry of aromatic compounds
- A rectangular loop of length 2.5 m and width 2 m is placed at 60° to a magnetic field of 4 T. The loop is removed from the field in 10 sec. The average emf induced in the loop during this time is:
- JEE Main - 2024
- Electromagnetic induction
- Two coils have mutual inductance 0.002 H. The current changes in the first coil according to the relation \( i = i_0 \sin \omega t \), where \( i_0 = 5 \, \text{A} \) and \( \omega = 50\pi \, \text{rad/s} \). The maximum value of emf in the second coil is \( \frac{\pi}{\alpha} \). The value of \( \alpha \) is ______.
- JEE Main - 2024
- Electromagnetic induction
- The 20th term from the end of the progression \[ 20, 19, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, \ldots, -129 \frac{1}{4} \] is:
- JEE Main - 2024
- Arithmetic Progression
Concepts Used:
Ideal Gas Equation
An ideal gas is a theoretical gas composed of a set of randomly-moving point particles that interact only through elastic collisions.
What is Ideal Gas Law?
The ideal gas law states that the product of the pressure and the volume of one gram molecule of an ideal gas is equal to the product of the absolute temperature of the gas and the universal gas constant.
PV=nRT
where,
P is the pressure
V is the volume
n is the amount of substance
R is the ideal gas constant
Ideal Gas Law Units
When we use the gas constant R = 8.31 J/K.mol, then we have to plug in the pressure P in the units of pascals Pa, volume in the units of m3 and the temperature T in the units of kelvin K.