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You can use the Ideal Gas Law here: PV=nRT. First you need to find the pressure in the first situation, where V1=600 ml and T1=300 K (temperature is measured in absolute, meaning kelvins, rather than celsius).

P=nRT1/V1

Then, you're looking for the volume in the second situation, so rearrange the Gas Law here:

V2=nRT2/P

Substitute P=nRT1/V1 into this equation to get:

V2=(nRT2V1)/(nRT1)

After some simplification, we reach:

V2=T2V1/T1

And substituting the numerical values gives you:

V2=(293 K)(.600 L)/(300 K)=.586 L=586 L

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