Embibe Experts Solutions for Chapter: Kinetic Theory of Gases, Exercise 1: TS EAMCET - 5 August 2021 Shift 1

Two vessels separately contain two ideal gases $A$ and $B$ at the same temperature. The pressure of gas $A$ is three times the pressure of gas $B$. Under these conditions, the density of gas $A$ is found to be two times the density of $B$. The ratio of molecular weights of gas $A$ and $B$ i.e. $\frac{{\mathit{M}}_{\mathit{A}}}{{\mathit{M}}_{\mathit{B}}}$ is

One mole of ideal gas goes through a process $P{V}^3=$ constant, where $P$ and $V$ are pressure and volume respectively. Let $W$ be the work done by the gas as its temperature is increased by $\Delta T$. The value of $\left|W\right|$ is ($R$ is the universal gas constant)

An ideal gas is placed in a tank at $27 °\mathrm{C}$. The pressure is initially $600 \mathrm{kPa}$. One fourth of the gas is then released from the tank and thermal equilibrium is established. What will be the pressure if the temperature is $327 °\mathrm{C}$?

Two non-reactive monoatomic ideal gases have their atomic masses in the ratio $3 : 4.$ The ratio of their partial pressures when enclosed in a vessel kept at a constant temperature is $2 : 3.$ The ratio of their densities is

The mean free path for a gas at temperature $300 \mathrm{K}$ and pressure $600$ torr is ${10}^{-7} \mathrm{m}.$ The mean free path of the gas at a temperature $400 \mathrm{K}$ and pressure $200$ torr will be

As per kinetic theory of gases which of the following statements is / are true?
a) Temperature of a gas is a measure of average kinetic energy of a molecule
b) Temperature of a gas depends on the nature of the gas
c) Heavier molecule has lower average speed
d) Lighter molecule has lower average speed

Consider an ideal gas in a closed container at $300 \mathrm{K}.$ The container is then heated so that the average velocity of particles of the gas increases by a factor of $4.$  What would be the final temperature?