Embibe Experts Solutions for Chapter: Kinetic Theory of Gases, Exercise 1: TS EAMCET - 10 August 2021 Shift 1

If a kilo mole of methane gas weighs $16 \mathrm{kg}$, the density of methane at $20 °\mathrm{C}$ and $5 \mathrm{atm}$ pressure is (Use $R=8314 \mathrm{J} {\mathrm{k}}^{-1} \mathrm{mol}-\mathrm{K}$)

An ideal gas at temperature $T$ and pressure $P$ fills the chamber $A$ which is separated from chamber $B$ which has vacuum. The two chambers are thermally insulated. When plug is removed the gas fills both the chambers. Both $A$ and $B$ have same volume. What will be the pressure and temperature of the gas after it comes to equilibrium?

Relationship between pressure $\left(P\right)$ and kinetic energy (K.E.) of ideal gas is

If $r$ is the radius of molecules in a gas, then the mean free path of molecules is proportional to

The molecules of a monoatomic gas has r.m.s. speed$v$  at $27°\mathrm{C}$. It is heated until the r.m.s. speed becomes $2v$. What is the new temperature?

The R.M.S. speed of $H_2$ molecules is $C$ at $27°\mathrm{C}.$ The molecules break into atoms. What should be the new temperature such that atoms have the same speed as molecules (Assume the mass of $H_2$ molecules is twice the mass of $H$-atom)

If the water is converted into ice, and its entropy is changed by $\mathrm{\Delta }S,$ then