Question

One mole of an ideal gas  at absolute temperature T1 is adiabatically compressed from an initial pressure P1 to a final pressure P2. The resulting temperatureT2 of the gas is given by

Solution

Correct option is

 

For an adiabatic process,

                           

Therefore , we have

                   

or                       

 

or                                     

SIMILAR QUESTIONS

Q1

An ice-box is made of wood 1.75 cm thick, lined inside with cork 2 cm thick. If the temperature of the inner surface of the cork is steady at 0oC and that of the outer surface is steady at 12oC, what is the temperature of the surface? The thermal conductivity of wood is 5 times that of cork.

                                                         

Q2

The tungsten filament of an electric lamp has a surface area A and a power rating P. if the emissivity of the filament is  is Stefan’s constant, the steady temperature of the filament will be

Q3

What are the dimensions of Stefan’s constant?

Q4

Each square meter of sun’s surface radiates energy at the rate of . Assuming that Stefan’s law applies to the radiation, the temperature of sun’s surface is (Stefan’s constant )

Q5

Experimental investigations show that the intensity of the solar radiation is maximum for a wavelength 4750  in the visible region. If the surface temperature of the sun is 6000 K, what is the value of the Wien’s constantb?

Q6

The specific heat of helium at constant volume is 12.6 J mol–1K–1. What is the specific of hydrogen at constant volume in J mol–1K–1? Assume that the temperature of the gas is moderate.

Q7

The equation of state of n moles of an ideal gas is PV = nRT, where R is a constant. The SI unit for R is

Q8

A thin copper wire of length L increases its length by 1% when heated from temperature T1 to T2. What is the percentage change in area when a thin copper plate having dimensions  is heated from T1 toT2?

Q9

In Fig., curves AB and CD represent the relation between pressure P and volume V of an ideal gas. One of the curves represents an isothermal expansion and the other represents an adiabatic expansion. Which curve represents an adiabatic expansion?

                                                                            

Q10

A certain mass of an ideal gas at pressure P1 is adiabatically expanded from an initial volume V1 to a final volume V2. The resulting pressure P2 of the gas is given by