According to Boyle’s law, at constant temperature volume of a given gas varies inversely with pressure of that gas. Mathematical expression is given as follows:
P1V1 = P2V2
Where, P1 = Initial pressure; P2 = final pressure, V1=initial volume and V2 = final volume
For a given sample of nitrogen gas substitute, P1=104.1 kPa, V1 = 478 cm3, P2 = 88.2 kPa.
104.1 kPa x 478 cm3 = 88.2 kPa x V2
V2 = (104.1 kPa x 478 cm3 ) / (88.2 kPa)
V2 = 564 cm3
Thus, volume occupied by given volume of nitrogen gas at pressure of 88.2 kPa is 564 cm3
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