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The pressure of a 250 mL sample of gas is 105 kPa. What would be the pressure if the volume were increased to 375 mL?

Answer :

Answer:

The answer is 70 kPa

Explanation:

In order to find the pressure if the volume were increased to 375 ml we use Boyle's law

That's

[tex]P_1V_1 = P_2V_2[/tex]

where

P1 is the initial pressure

P2 is the final pressure

V1 is the initial volume

V2 is the final volume

Since we are finding the final pressure

[tex] P_2 = \frac{P_1V_1}{V_2} \\ [/tex]

From the question

P1 = 105 kPa = 105 , 000 Pa

V1 = 250 mL

V2 = 375 mL

So we have

[tex]P_2 = \frac{105000 \times 250}{375} = \frac{26250000}{375} \\ = 70000[/tex]

We have the final answer as

70 kPa

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