contestada

A sample of Ne(g) has a volume 250 mL at 752 mm Hg. What is the
new volume if the temperature and amount of gas held constant, the
pressure is;
a) lowered to 385 mm Hg.
b) Increased to 3.68 atm.

Respuesta :

Answer: a) 525 ml

b) 67.2 ml

Explanation:

Boyle's Law: This law states that pressure is inversely proportional to the volume of the gas at constant temperature and number of moles.

[tex]P\propto \frac{1}{V}[/tex]     (At constant temperature and number of moles)

[tex]P_1V_1=P_2V_2[/tex]  

where,

a) [tex]P_1[/tex] = initial pressure of gas  = 752 mm Hg

[tex]P_2[/tex] = final pressure of gas = 385 mm Hg

[tex]V_1[/tex] = initial volume of gas  = 250 ml

[tex]V_2[/tex] = final volume of gas = ?

[tex]752\times 250=385\times V_2[/tex]  

[tex]V_2=525ml[/tex]

Therefore, the volume at 385 mm Hg is 525 ml.

b) [tex]P_1[/tex] = initial pressure of gas  = 752 mm Hg

[tex]P_2[/tex] = final pressure of gas = 3.68 atm = 2796.8 mm Hg    (760mmHg=1atm)

[tex]V_1[/tex] = initial volume of gas  = 250 ml

[tex]V_2[/tex] = final volume of gas = ?

[tex]752\times 250=2796.8\times V_2[/tex]  

[tex]V_2=67.2ml[/tex]

Therefore, the volume at 3.68 atm is 67.2 ml.

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