The pressure on a 200-milliliter sample of CO2(g) at
constant temperature is increased from 60 kPa to
120 kPa. What is the new volume of the gas?A) 100 mL B) 300 mL
C) 400 mL D) 600 mL

Respuesta :

Answer:

A) 100 mL

Explanation:

At constant temperature and number of moles, Using Boyle's law  

[tex]{P_1}\times {V_1}={P_2}\times {V_2}[/tex]

Given ,  

V₁ = 200 mL

V₂ = ?

P₁ = 60 kPa

P₂ = 120 kPa

Using above equation as:

[tex]{P_1}\times {V_1}={P_2}\times {V_2}[/tex]

[tex]{60\ kPa}\times {200\ mL}={120\ kPa}\times {V_2}[/tex]

[tex]{V_2}=\frac{{60}\times {200}}{120}\ mL[/tex]

[tex]{V_2}=100\ mL[/tex]

The new volume of the gas is 100 mL

The correct answer to the question is Option A. 100 mL

From the question given above, the following data were obtained:

Initial pressure (P₁) = 60 KPa

Initial volume (V₁) = 200 mL

Final pressure (P₂) = 120 KPa

Temperature = constant

Final volume (V₂) = ?

  • Using the Boyle's law equation, the final (i.e new) volume of the gas can be obtained as follow:

P₁V₁ = P₂V₂

60 × 200 = 120 × V₂

12000 = 120 × V₂

Divide both side by 120

V₂ = 12000 / 120

V₂ = 100 mL

Therefore, the new volume of the gas is 100 mL

The correct answer to the question is Option A. 100 mL

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