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The ideal­-gas law is sometimes written in the form p1V1/T1 = p1V2/T2. Are there any extra...

The ideal­-gas law is sometimes written in the form p1V1/T1 = p1V2/T2. Are there any extra limitations on this form of the law, or is it just as general as the form pV = nRT?

Thermal Properties of Matter...conceptual question...will rate on clarity and explanation...thank you!!!

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Expert Solution

consider an ideal gas of mass m having pressure P1 Volume V1 and absolute temperature T1.Let finial values of pressure ,volume and temperature of the gas be P2,V2 and T2 and let these changes occu two steps

(i) Keeoing temperature of the gas constant , if the pressure is changed from P1 to p2,Let the volume changes from V1 to V

according to boyles'law the volume of given mass of the gas at constant temperature is inversly proportional to its pressure

P1V1=P2V=>V=P1V1/P2.........................(1)

(ii)

nw keeping the pressure of the gas constant if the temperature is changed from T1 to t2 ,Let The volume changes from V to V2, according to charle's law the volume of the given mass of the gas at constant pressure is directly proportional to its absolute temperature

V/T1=V2/T2

V=V2T1/T2................(2)

from equation 1 and 2

P1V1/P2=T1V2/T2

P1V1/T1=P2V2/T2

PV/T=constant

PV/T=R

PV=RT

PV=1*RT

PV=nRT

genius_generous answered 2 years ago
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