kmprather04
contestada

the pressure of a gas constant temperature is increased by a factor od 4 by what factor does the volume change
1/4
1/2
1
4

Respuesta :

quasarJose

Answer:

[tex]\frac{1}{4}[/tex]

Explanation:

From the given problem, we are to find the factor number by which the volume of the compressed gas has changed through.

We apply Boyle's law to this problem because the condition of the reaction stipulates a constant temperature.

Boyle's law states "the volume of a given mass of gas is inversely proportional to its pressure provided that temperature remains constant". Mathematically, it is expressed as:

                           P₁V₁ = P₂V₂

P₁ is initial pressure on the gas

V₁  is the initial volume of the gas

P₂ is the final pressure of the gas

V₂ is the final volume of the gas

From the problem, we are to find the factor through which the volume changed:

             P₁V₁ = P₂V₂

              V₂ = [tex]\frac{P_{1} }{P_{2} } V_{1}[/tex]

             

Now:

P₁ =  P₁

P₂ = 4P₁

                V₂ = [tex]\frac{P_{1} }{4P_{1} } V_{1}[/tex]

Therefore, the factor of the volume change is [tex]\frac{1}{4}[/tex]

The study of chemicals and bonds is called chemistry.

The correct answer is option A which is 1/4.

What is ideal gas law?

  • The ideal gas law, also called the general gas equation, is the equation of the state of a hypothetical ideal gas.
  • It is a good approximation of the behavior of many gases under many conditions, although it has several limitations

From the given problem, we are to find the factor number by which the volume of the compressed gas has changed. We apply Boyle's law to this problem because the condition of the reaction stipulates a constant temperature.

Boyle's law states "the volume of a given mass of gas is inversely proportional to its pressure provided that temperature remains constant". Mathematically, it is expressed as:

P₁V₁ = P₂V₂

Where

  • P₁ is initial pressure on the gas
  • V₁  is the initial volume of the gas
  • P₂ is the final pressure of the gas
  • V₂ is the final volume of the gas

From the problem, we are to find the factor through which the volume changed:

  P₁V₁ = P₂V₂

V₂ = [tex]\frac{P_1}{P_2}*V_1[/tex]

           

Now:

P₁ =  P₁

P₂ = 4P₁

Hence

V₂ = [tex]\frac{P_1}{4P_2}*V_1[/tex]

Therefore, the factor of the volume change is 1/4.

For more information about the ideal gas, refer to the link:-

https://brainly.com/question/14688752

Otras preguntas