Gas Laws-Problems WS 13 1. Methane gas is compressed from 21 to 2.5 L at a const
ID: 548379 • Letter: G
Question
Gas Laws-Problems WS 13 1. Methane gas is compressed from 21 to 2.5 L at a constant temperature. The final pressure is 12.2 atm. What was the original pressure? 2. A sample of 23.0 L of NH3 gas at 10.0°C is heated at constant pressure until it fills a volume of 50.0 L. What is the new temperature in °C? ple of carbon dioxide gas in a 35-mL container is at a pressure of 451 mmHg 3. A sam and a temperature of 625°C. If the gas is allowed to cool at constant volume until the pressure is 375 mmHg, what is the new temperature in °C?
Explanation / Answer
1) This probelm is based on BOYle's law.
At constant temperature PV= constant
or P1V1 = P2V2
substituing the given values
P1 x 21L = 12.2 atm x 2.5L
Thus P1 = 1.45 atm
Q2)
Charles law states that at constant pressure the volume of a gas is directly propotrtional to its absolute temperature.
Thus V/T = constant or
V1/T1 = V2/T2
Substituing the given values
23L / 283K = 50L /T2
thus T2 = 615.22 K
= [615.22- 273.15 ]
= 342.06 C
Q3) keeping the volume constant, the pressure of a fixed amount of gas is directly proportional to itsabsolute temperature .
Thus P/T = constant or
P1/T1 = P2/T2
451mm/898K = 375mm/T2
and T2 = 746.67 K
=473.52 C
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