Answered

15. a sample of gas has a volume of 750.0 mL at 151.3 kPa. if the temperature remains constant, find the new pressure when the volume is decreased to 250.0 mL

Answer :

Answer

453.9 kPa

Explanation

Given:

Initial volume, V₁ = 750.0 mL

Initial pressure, P₁ = 151.3 kPa

Final volume, V₂ = 250.0mL

What to find:

The new pressure when the volume is decreased to 250.0 mL.

Step-by-step solution:

The new pressure when the volume is decreased to 250.0 mL can be calculated using the Boyle's law formula below

[tex]\begin{gathered} P_1V_1=P_2V_2 \\ \\ \Rightarrow P_2=\frac{P_1V_1}{V_2} \end{gathered}[/tex]

Plugging the values of the given parameters into the formula, we have

[tex]P_2=\frac{151.3kPa\times750.0mL}{250.0mL}=453.9kPa[/tex]

The new pressure when the volume is decreased to 250.0 mL is 453.9 kPa

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