MEDIUM
JEE Main
IMPORTANT
Earn 100

When 0.40 mol of oxygen O2 gas is heated at constant pressure starting at 0°C, how much energy must be added to the gas as heat to triple its volume? (The molecules rotate but do not oscillate).

Important Questions on The Kinetic Theory of Gases

MEDIUM
JEE Main
IMPORTANT

The speeds of 22 particles are as follows (Ni represents the number of particles that have speed of vi):

Ni 2 4 6 8 2
vi (cm s-1) 1.0 2.0 3.0 5.0 6.0

What are (a) vavg  (b) vrms  and
(c) vp

MEDIUM
JEE Main
IMPORTANT
A gas is to be expanded from initial state i to final state f along either path 1 or path 2 on a p-V diagram. Path 1 consists of three steps: an isothermal expansion (work is 23 J in magnitude), an adiabatic expansion (work is 35 J in magnitude), and another isothermal expansion (work is 16 J in magnitude). Path 2 consists of two steps: a pressure reduction at constant volume and an expansion at constant pressure. What is the change in the internal energy of the gas along path 2?
MEDIUM
JEE Main
IMPORTANT
When 22.5 J was added as heat to a particular ideal gas, the volume of the gas changed from 50.0 cm3 to 100 cm3 while the pressure remained at 1.00 atm. (a) By how much did the internal energy of the gas change? If the quantity of gas present was 2.00× 10-3mol, find (b) Cp and (c) CV.
HARD
JEE Main
IMPORTANT
The mass of a gas molecule can be computed from its specific heat at constant volume cv (Note that this is not Cv). Take cv=0.1476 cal g-1 °C-1 for neon and calculate (a) the mass of neon atom and (b) the molar mass of neon.
MEDIUM
JEE Main
IMPORTANT

Given figure, gives the probability distribution for nitrogen gas. The scale of the horizontal axis is set by vx=2400 m s-1. What is the a gas temperature and b RMS speed of the molecules?

Question Image

HARD
JEE Main
IMPORTANT
Suppose 2.80 mol of an ideal diatomic gas, with molecular rotation but not oscillation, experiences a temperature increase of 45.0 K under constant-pressure conditions. What are (a) the energy transferred as heat Q, (b) the change ΔEint  in internal energy of the gas, (c) the work done W  by the gas, and (d) the change ΔK in the total translational kinetic energy of the gas?
EASY
JEE Main
IMPORTANT
Find the rms speed of argon atoms at 323K. The molar mass of argon is 39.95 g mol-1
MEDIUM
JEE Main
IMPORTANT
The temperature of 4.50 mol of an ideal monatomic gas is raised to 27.0 K at a constant volume. What are (a) the work W done by the gas, (b) the energy transferred as heat Q, (c) the change ΔEin  in the internal energy of the gas, and (d) the change ΔK in the average kinetic energy per atom?