Respuesta :

Answer:

1.75atm

Explanation:

According to Boyle's law, the pressure P of a fixed mass of gas is inversely proportional to it's volume V provided that the temperature remains constant.

[tex]P\alpha \frac{1}{V}\\hence\\PV=constant[/tex]

This implies the following;

[tex]P_1V_1=P_2V_2=...=P_nV_n............(1)[/tex] Provided temperature is kept constant.

Given;

[tex]P_1=1.5atm\\V_1=5.6L\\P_2=?\\V_2=4.8L[/tex]

From equation (1), we can write;

[tex]P_1V_1=P_2V_2\\hence\\1.5*5.6=P_2*4.8\\\\P_2=\frac{1.5*5.6}{4.8}\\\\P_2=1.75atm[/tex]

Since all the units are consistent, there is no need for conversion.

Answer:

1.75 atm.

Explanation:

Using Boyle's law equation of gas which states that at constant temperature, the volume of a fixed amount of gas is inversely proportional to the pressure exerted.

Mathematically,

P = kV

Given:

V1 = 5.6 l

V2 = 4.8 l

P1 = 1.5 atm

P1V1 = P2V2

P2 = P1V1/V2

= (1.5 * 5.6)/4.8

= 1.75 atm.

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