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Volume of the gas will becomes 4 times of its volume if kelvin temperature of gas is doubled and pressure is halved.

Combined Gas Law combines Charles Law, Boyle s Law and Gay Lussa's s Law. The Combined Gas Law states that a gas pressure x volume x temperature = constant. combined gas law states that the ratio between the product of pressure-volume and temperature of a system remains constant. When the amount of gas remains constant, but the pressure, volume, and temperature fluctuate, this rule applies on Cloud formation, refrigerators, and air conditioners etc.

According to the combined gas law,

            P1 V1 / T1 = P2 V2 / T2

where p1 and p2 are the pressures of the gases , V1 and V2 are the volumes and T1 and T2 are the Kelvin temperatures .

so we can write the expression of volume as,

         V2 = V1×p1 / p2 × T2 /T1

If the kelvin temperature of a gas sample is doubled while the pressure is halved. then,

p1 = p1 and  p2=0.5p1

T1 = T1 and  T2=2T1

then putting all the value in the expression we get V2  is equals to 4V1.

then we can calculate the value of v1

by,

  V2 / V1 = 4V1 / V1

then it becomes 4 times of the volume.        

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