Monday, July 27, 2009

What is the volume in degrees C and 195 torr?

A sample of gas has a volume of 390 ml when measured at 25 degrees C and 760 torr. What volume in ml will it occupy at 25 degrees C and 195 torr?

What is the volume in degrees C and 195 torr?
The mathematical form of the Combined Gas Law is:





P1 x V1 / T1 = P2 x V2 / T2





When any five of the six quantities in the equation are known, the sixth can be calculated.





For your problem:





Unit Conversions:





P1 = 760.mmHg / 760 mmHg x 1.000 atm = 1.00 atm





V1 = 390.mL / 1000.0 mL/L = 0.390 L





V2 = P1V1T2/P2T1


= 1.00 atm x 0.390 L x 25. °K / (1.95x102 atm x 25. °K)


= 2.0x10^-3 L
Reply:p1V1 = nRT for the first set of data





p2V2 = nRT for the required set of data





Since is the same gas the number of moles is the same and do not change. From the exercise data u have also that the temperature do not change. The gas constant R is a constant. That's why u have the following equation:





p1V1/p2V2 = 1 =%26gt; V2 = (p1V1)/p2





Just replace the data in the formula and u have the answer! Good luck!

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