A box Of interior Volume $V_1$ has a heavy airtight hinged lid of mass M and area A.The box contains n

find the pressure of the gas in the box

a. n

b. n

c. (n

d. none of the above.

Solution

find the pressure of the gas in the chamber

a. n

b. n

c. (n

d. none of the above.

Solution

Initially the hinged lid is closed.Then which of these expression is true

a.n

b. n

c. n

d. n

Solution

If the whole system is heated,at what temperature T will the gas pressure lift the hinged lid

a. T=(Mg/RA)(n

b. T=(Mg/RA)(n

c. T=(Mg/RA)(n

d. None of the above

Solution

In the vander waals equation

(P+a/V

a. a and b are the correction for the cohesive forces

b. a and b are the correction for the volume occupied by the molecules.

c. a is the correction for the volume occupied by the molecules and b is the correction for the cohesive forces

d. a is the correction for the cohesive forces and b is the correction for the volume occupied by the molecules

Solution

An gas obeys Vander waals equation

(P+a/V

The dimensional formula for constant a is

a. ML

b. ML

c. ML

d. M

Solution

Find the work done by this gas when gas expand from V to 2V at constant temperature T

a.nRTlog

b.nRTlog

c. nRTlog

d. none of the above

Solution

Assertion and Reason

a. Statement I is true ,statement II is true ,statement II is correct explanation for statement I

b. Statement I is true ,statement II is true ,statement II is not a correct explanation for statement I

c. Statement I is true,Statement II is false

d. Statement I is False,Statement II is True

a. Statement I is true ,statement II is true ,statement II is correct explanation for statement I

b. Statement I is true ,statement II is true ,statement II is not a correct explanation for statement I

c. Statement I is true,Statement II is false

d. Statement I is False,Statement II is True

STATEMENT 1:Real Gases behave like ideal gas at high temperature

STATEMENT 2:Intermolecular forces are negligible at high temperature

Solution

STATEMENT 1:Equation of state for a real gas is (P+a/V2)(V-b)=nRT

STATEMENT 2: Molecular attraction is not negligible and the size of molecules are not negligible in comparison to average separation between them

Solution

STATEMENT 1:The pressure exerted by a gas is the same irrespective of the size of the molecules

STATEMENT II:Molecular collisions will invariably change the velocities of individual molecules but the number of the molecules having any particular velocity will remain change

Solution

STATEMENT 1: mean kinetic energy of molecule are same for all gases at the same temperature

STATEMENT 2: Heavy molecules will moves slower than light molecules at the same temperature

Solution

which of the following pairs are correctly matched

Law of equipartition of energy :Boltzmann

Law of distribution of speed :Maxwell

Law of liquefaction of gases:Joule Kelvin

a. 1

b. 2

c. 3

d. none of the above

Solution

Which of the following statement is correct about ideal gas

a. In Isothermal Process PV=constant

b. In adiabatic process $PV^{\gamma}=constant$

c. In isothermal process,root mean square velocity does not change

d. none of the above

Solution

A vessel contains two non-reactive gases : neon (monatomic) and oxygen (diatomic). The ratio of their partial pressures is 3:2. Atomic mass of Ne = 20.2 u, molecular mass of O2 = 32.0 u.

Estimate the ratio of number of molecules

a. 1:2

b. 2:3

c. 3:2

d. 9:4

Solution

find the ratio of mass density of neon and oxygen in the vessel

a. .946:1

b. .745:1

c. .56:16

d. .80:1

Solution

Boyle's law is applicable for an

(a) adiabatic process.

(b) isothermal process.

(c) isobaric process.

(d) Isochoric process.

Solution

An inflated rubber balloon contains one mole of an ideal gas, has a pressure p, volume V and temperature T. If the temperature rises to 1.1 T, and the volume is increased to 1.05 V, the final pressure will be

(a) 1.1 p

(b) p

(c) less than p

(d) between p and 1.1p

Solution

Which of the following diagrams depicts ideal gas behaviour?

Solution

Volume versus temperature graphs for a given mass of an ideal gas are shown in below at two different values of constant pressure. What can be inferred about relation between $p_1$ & $p_2$?

a. $p_1 =p_2$

b. $p_1 > p_2$

c. $p_1 < p_2$

d. data is insufficient

Solution

A cylinder containing an ideal gas is in vertical position and has a piston of mass M that is able to move up or down without friction

If the temperature is increased,

(a) both p and V of the gas will change.

(b) only p will increase according to Charle's law.

(c) V will change but not p.

(d) p will change but not V.

Solution

One mole of ideal gas undergoes a process

P=P

Where P

Solution

Calculate the variation of atmospheric pressure with elevation of the earth atmosphere. Considering the temperature to be uniform throughout (which is not the actual case)

Solution

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