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an ideal gas has an initial pressure of p0 and volume of 1.5 m3. it undergoes a process whereby the pressure changes to (1.4)p0 while the kelvin temperature increases by 58%. calculate the final volume in meters cubed.



Answer :

The final volume will be 2.407 m³

According to the information provided

Initial state perimeters are :

P1 = p₀

V1 = 1.5

T1 = T

The final state perimeters are :

P2 = (1.4)p₀

T2 = T (158/100)

Using the ideal gas equation

P1 V1 /T1 = P2V2/T2

We have

p₀ x 1.5 /T = (1.4)p₀ x V2 / T2

(p₀ x 1.5 /T)158T/100  = (1.4)p₀ x V2  

V2 = (1.5 x 158) /100 x 1.4

V2  = 2.407 m³

Hence when all the conditions of temperature and pressure are altered then the change in volume is noted.

The final volume will be 2.407 m³

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