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If a gas has a pressure of 6 atm , a temp of 53k and a volume of 78 liters but the temp changes to 17k and the pressure changes to 85 atm what is the new volume

If a gas has a pressure of 6 atm a temp of 53k and a volume of 78 liters but the temp changes to 17k and the pressure changes to 85 atm what is the new volume class=

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answer and explanation

we are given initial values of temperature, pressure and volume as well as the final value of temperature and pressure and we are asked to find the final volume.

we can do this using the combined gas equation

P1V1/T1 = P2V2/T2

when we plug in the values we get:

(6atm x78L)/53K = (85atm x V2/17K

8.83 = 85atm x V2 / 17K

V2 = 1.77 Liters

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