The pressure on 2.5 L of anesthetic gas changes from 105kPa to 40.5kPa. What wil...

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September 2022 1 1 Report

The pressure on 2.5 L of anesthetic gas changes from 105kPa to 40.5kPa. What will be the new volume if the temperature remains constant?

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GreatRedSpot

SOLUTION:

Step 1: List the given values.

$\begin{aligned} P_1 & = \text{105 kPa} \\ V_1 & = \text{2.5 L} \\ P_2 & = \text{40.5 kPa} \end{aligned}$

Step 2: Calculate the final volume by using Boyle's law.

$\begin{aligned} V_2 & = \frac{P_1V_1}{P_2} \\ & = \frac{(\text{105 kPa})(\text{2.5 L})}{\text{40.5 kPa}} \\ & = \boxed{\text{6.5 L}} \end{aligned}$

Hence, the new volume of the gas will be 6.5 L.

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