Behavior of Perfect Gas and Kinetic Theory

At 10⁰C the value of the density of a fixed mass of an ideal gas divided by its pressure is x. At 110⁰ C this ratio is:

The amount of heat energy required to raise the temperature of 1g of Helium at NTP, from T₁K to T₂K is

In a vessel, the gas is at a pressure P. If the mass of all the molecules is halved and their speed is doubled, then the resultant pressure will be

In the relation n = (PV/RT), n stands for

The molecular weight of a gas is 44. The volume occupied by 2.2 g of this gas at 0⁰C and 2 atm. Pressure will be

Energy of all molecules of a monoatomic gas having a volume V and pressure P is (3PV/2). The total translational kinetic energy of all molecules of a diatomic gas having the same volume and pressure is

At absolute temperature, the kinetic energy of the molecules

The velocity of molecules of a gas at temperature 120 K is v. At what temperature will the velocity be 2v?

When temperature of an ideal gas is increased from 27⁰C to 227⁰C, its r.m.s. speed changes from 400 m/s to Vs. The Vs is

The equation of state for 5 g of oxygen at a pressure P and temperature T, when occupying a volume V will be

The root mean square speed of oxygen molecule (O₂) at a certain temperature is v. If the temperature is doubled and the oxygen gas dissociates into atomic oxygen, the rms speed would be

At a given temperature the root mean square velocities of oxygen and hydrogen molecules are in the ratio

Shear modulus is zero for

An insulated container of gas has two champers seperated by an insulating partition. One of the chambers has volume V₁ and contains ideal gas at pressure P₁ and temperature T₁. The other chamber has volume V₂ and contains ideal gas at pressure P₂ and temperature T₂. If the partition is removed without doing any work on the gas, the final equilibrium temperature of the gas in the container will be

Six molecules have speeds 2 units, 5 units, 3 units, 6 units, 3 units and 5 units respectively. The rms speed is

At what temperature will the rms speed of air molecules be double that of NTP?

In the given (V – T) diagram, what is the relation between pressure P₁ and P₂?

A jar is filled with two non-mixing liquids 1 and 2 having densities ρ₁ and ρ₂ respectively. A solid ball, made of a material of density ρ₃, is dropped in the jar. It comes to equilibrium in the position shown in the figure. Which of the following is true for ρ₁, ρ₂ and ρ₃?