A sample of methane gas (CH4) at 13.2 C is either heated or cooled. The pressure
ID: 540049 • Letter: A
Question
A sample of methane gas (CH4) at 13.2 C is either heated or cooled. The pressure increases from 1.75 atm to 2.70 atm, and the volume of the sample changes from 2.30 L to 4.31 L. To what temperature, in C, was the methane heated or cooled? 0 Answer: Not yet answered Marked out of 1.00 Flag question A 49 L cylinder containing helium gas at a pressure of 20.8 atm is used to fill a weather balloon in order to lift equipment into the stratosphere. To what maximum pressure (in atm) could a 271 L balloon be filled. Hint is given in the feedback. AnswerExplanation / Answer
T1 = 13.2°C = 13.2+273.15 K = 286.35 K
P1 = 1.75 atm
T2 = ?
P2 = 2.70 atm
V1 = 2.3
V2 = 4.31 L
find T2
Apply ideal gas law
P1V1/T1 = P2V2/T2
T2 = P2V2/(P1V1)*T1
T2 = (2.70/1.75)*(4.31/2.30)*286.35
T2 = 827.88 K
T2 = 827.88-273.15 = 554.73°C
Q2.
V = 49 L; P = 20.8 atm
P2 max ifV = 271 L
apply
P1V1 = P2V2
20.8*49 = 271*P2
P2 = 20.8*49/271
P2 = 3.760 atm
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