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A sample of chlorine gas occupies a volume of 707 ml at 2.90 atm. What is the new pressure in torr if the volume is compressed to 0.533 L?

a: 3,850 torr
b: 3.85 torr
c: 291 torr
d: 2,920 torr

Respuesta :

Answer:

The new pressure is 3850 torr.  

Explanation:

The relation between volume and pressure is inverse as per Boyle's law. Its mathematical form is given by :

[tex]P_1V_1=P_2V_2[/tex]

Here,

[tex]P_1=2.9\ atm[/tex]

[tex]V_1=707\ mL[/tex]

[tex]V_2=0.533\ L[/tex]

Let [tex]P_2[/tex] is the new pressure. So using Boyle's law we get :

[tex]P_2=\dfrac{P_1V_1}{V_2}\\\\P_2=\dfrac{2.9\times 707}{0.533}\\\\P_2=3846.71\ \text{torr}[/tex]

or

[tex]P_2=3850\ \text{torr}[/tex]

So, the new pressure is 3850 torr.  

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