Question:
An open vessel at $27^{\circ}C$ is heated until two fifth of the air (assumed as an ideal gas) in it has escaped from the vessel. Assuming that the volume of the vessel remains constant, the temperature at which the vessel has been heated is :
An open vessel at $27^{\circ}C$ is heated until two fifth of the air (assumed as an ideal gas) in it has escaped from the vessel. Assuming that the volume of the vessel remains constant, the temperature at which the vessel has been heated is :
Updated On: Sep 27, 2024
- $750^{\circ}C$
- $500^{\circ}C$
- $750\, K$
- $500\, K$
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
$\frac{2}{5}$air escaped from vessel, $\therefore \, \frac{3}{5} \, $air remain
is vessel , P, V constant
$ \, \, \, n_1T_1 \, = \, n_2 T_2$
$n_1 (300) \, = \, \bigg(\frac{3}{5} \, n_1\bigg)T_2 \, \Rightarrow \, T_2 \, =500 K$
is vessel , P, V constant
$ \, \, \, n_1T_1 \, = \, n_2 T_2$
$n_1 (300) \, = \, \bigg(\frac{3}{5} \, n_1\bigg)T_2 \, \Rightarrow \, T_2 \, =500 K$
Was this answer helpful?
0
0
Top Questions on States of matter
- A closed vessel contains 10 g of an ideal gas X at 300 K, which exerts 2 atm pressure. At the same temperature, 80 g of another ideal gas Y is added to it and the pressure becomes 6 atm. The ratio of root mean square velocities of X and Y at 300 K is
- JEE Advanced - 2024
- Chemistry
- States of matter
- Number of molecules and moles in 2.8375 litre of O2 at STP.
- JEE Main - 2023
- Chemistry
- States of matter
Intermolecular forces are forces of attraction and repulsion between interacting paiticles that will include :
A. dipole - dipole forces.B. dipole - induced dipole forces.C. hydrogen bonding.D. covalent bonding.E. dispersion forces.Choose the most appropriate answer from the options given below :- NEET (UG) - 2023
- Chemistry
- States of matter
- Which of the following is a physical change?
- NATA - 2023
- Chemistry
- States of matter
NaOH is deliquescent
- BITSAT - 2023
- Chemistry
- States of matter
View More Questions
Questions Asked in JEE Main exam
- $\Delta_{vap}H^\circ$ for water is $+40.49 \, \text{kJ mol}^{-1}$ at 1 bar and $100^\circ\text{C}$. Change in internal energy for this vaporisation under same condition is .............. kJ mol$^{-1}$. (Integer answer)
(Given R = 8.3 J K$^{-1}$ mol$^{-1}$)- JEE Main - 2024
- Enthalpy change
- A group of 40 students appeared in an examination of 3 subjects – Mathematics, Physics & Chemistry. It was found that all students passed in at least one of the subjects, 20 students passed in Mathematics, 25 students passed in Physics, 16 students passed in Chemistry, at most 11 students passed in both Mathematics and Physics, at most 15 students passed in both Physics and Chemistry, at most 15 students passed in both Mathematics and Chemistry. The maximum number of students passed in all the three subjects is ________.
- JEE Main - 2024
- Set Theory
- A train is moving with a speed of 12 m/s on rails which are 1.5 m apart. To negotiate a curve radius of 400 m, the height by which the outer rail should be raised with respect to the inner rail is (Given, \( g = 10 \, \text{m/s}^2 \)):
- JEE Main - 2024
- rotational motion
A body of mass 1000 kg is moving horizontally with a velocity of 6 m/s. If 200 kg extra mass is added, the final velocity (in m/s) is:
- JEE Main - 2024
- speed and velocity
- A Zener diode of breakdown voltage 10V is used as a voltage regulator as shown in the figure. The current through the Zener diode is
- JEE Main - 2024
- Electronic devices
View More Questions
Concepts Used:
States of Matter
The matter is made up of very tiny particles and these particles are so small that we cannot see them with naked eyes.
There are three States of Matter:
The three states of matter are as follows:
Solid State:
- The solid-state is one of the fundamental states of matter.
- Solids differ from liquids and gases by the characteristic of rigidity.
- The molecules of solids are tightly packed because of strong intermolecular forces; they only oscillate about their mean positions.
Liquid State:
- The molecules in a liquid are closely packed due to weak intermolecular forces.
- These forces are weaker than solids but stronger than that of gases.
- There is much space in between the molecules of liquids which makes their flowing ability easy.
Gaseous State:
- In this state of matter, distances between the molecules are large (intermolecular distance is in the range of 10-7-10-5 cm.
- The intermolecular forces experienced between them are negligible.
- Thus, translatory, rotatory and vibratory motions are observed prominently in gases.