Respuesta :

0.96 litre will be the new volume of the gas at a pressure of 1.5 atm.

Explanation:

Data given:

initial temperature of the gas = 37 degrees

initial pressure P1 = 380 torr or  0.5 atm

initial volume of gas  V1= 2.9 litre

final volume V2 = ?

final pressure P2 = 1.5 atm

Assuming that temperature remains constant, the formula used is of Boyle's Law:

P1V1 = P2V2

Rearranging the equation to know the value of final volume of the gas:

V2 = [tex]\frac{P1V1}{P2}[/tex]

V2 = [tex]\frac{0.5 X 2.9}{1.5}[/tex]

V2 = 0.96 LITRE

the volume of the gas decreases as the pressure of the  gas increases.