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    <pre style="white-space:pre-line"><code>3.GASES                                                                     eLearn.Punjab

It means that ratio of PV to T is a constant quantity (molar gas constant)

Hence

                            P1V1 = R         P2V2 =R

                             T1               T2

Therefore,                  P1V1 = P2V2      ........... (5)

3.3.1 Ideal Gas Constant R   T1 T2

The values and units of R can be calculated by Avogadro's principle very easily. Its value depends
upon the units chosen for pressure, volume and temperature. The volume of one mole of an ideal
gas at STP (one atmospheric pressure and 273.16 K ) is 22.414 dm3.
Putting these values in the general gas equation will give the value of R.

                                                                R= PV

                                                                                  nT

                                           Putting their values, alongwith units

                                                       R= 1 atm x 22.414 dm3

                                                                       1 mole x 273.16 K

                                                 R = 0.0821 dm3 atm K-1 mol-1
When the pressure is in atmospheres, volume in dm3, then the value of R, used should be 0.0821
dm3 atm K-1 mol-1
The physical meanings of this value is that, if we have one mole of an ideal gas at 273.16 K and
one atmospheric pressure and its temperature is increased by 1 K, then it will absorb 0.0821 dm3
-atm of energy, dm3 -atm is the unit of energy in this situation. Hence, the value of R is a universal
parameter for all the gases. It tells us that the Avogadroâ€™s number of molecules o f all the ideal
gases have the same demand of energy.

                                         15</code></pre>
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