a gas has a volume of 45.0 mL and a pressure of 760.0 mm. If the pressure increased to 850.0 mm and the temperature remained the same, what would be its new volume?

Respuesta :

Answer:

40 mL

Explanation:

V2=P1V1/P2

You can check this by knowing that P and V at constant T have an inverse relationship. Hence, this is correct.

The new volume will be "40 mL".

Boyle's Law

A gas equation or principle essentially asserts that perhaps the pressure generated by something like a gaseous molecule (with a particular mass as well as constant temperatures) seems to be inversely proportional towards its volume.

According to the question,

Pressure, P₁ = 760.0 mm

                P₂ = 850.0 mm

Volume, V₁ = 45.0 mL

              V₂ = ?

By using Boyle's Law,

→ P₁V₁ = P₂V₂

or,

New volume will be:

V₂ = [tex]\frac{P_1 V_1}{P_2}[/tex]

By substituting the values,

    = [tex]\frac{760\times 45}{850}[/tex]

    = [tex]\frac{34200}{850}[/tex]

    = 40 mL

Thus the response above is correct.

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