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A container filled with a sample of an ideal gas at the pressure of 150 Kpa. The gas is compressed isothermally to one-third of its original volume. What is the new pressure of the gas a)-900 kpa b)- 300 kpa c)- 450 kpa d)- 600 kpa

Respuesta :

Answer: c) 450 kPa

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,

[tex]P_1[/tex] = initial pressure of gas  = 150 kPa

[tex]P_2[/tex] = final pressure of gas  = ?

[tex]V_1[/tex] = initial volume of gas   = v L

[tex]V_2[/tex] = final volume of gas  = [tex]\frac{v}{3}L[/tex]

[tex]150\times v=P_2\times \frac{v}{3}[/tex]  

[tex]P_2=450kPa[/tex]

Therefore, the new pressure of the gas will be 450 kPa.

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