Question

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 1

453.9 kPa

Step-by-step 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

`\begin{gathered} P_1V_1=P_2V_2 \\ \\ \Rightarrow P_2=(P_1V_1)/(V_2) \end{gathered}`

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

`P_2=(151.3kPa*750.0mL)/(250.0mL)=453.9kPa`

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

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