DENSITY chemistry help?

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if the density of a gas at 50 degress celisius and 652 torr is 0.457g/l, what is the density of the gas at -45 degress celsius and 4.75 atm?
 
Use Boyle's Law and Charles' Law to work out the constant factor, then use that to solve for the volume and find the density.

Assume you have 1 L of gas. The mass of gas will therefore be 0.457 g.

652 torr = 652/760 atm, 50°C = 323.15K, and -45°C = 228.15K.

pV/T is constant. [(652/760)×1]/323.15 = 0.00265 atm L K^-1.

Now (4.75×V)/228.15 = 0.00265, so V = 0.127 L.

This will still weigh 0.457 grams. Therefore, the density will be 0.457/0.127 = 3.598 g/L
 
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