If the pressure of a gas at constant volume is 35 atm at 100"C, what will the pressure be if the temperature is changed to 250C?
Answers
Answered by
0
Answer:
The pressure increases by 0.03 atm.
This problem involves Gay-Lussac's Law. It states that the pressure exerted on the sides of a container by an ideal gas of fixed volume is proportional to its temperature.
P
1
T
1
=
P
2
T
2
P
1
= 1.00 atm;
T
1
= (20.0 + 273.15) K = 293.2 K.
P
2
= ?;
T
2
= (30.0 + 273.15) K = 303.2 K.
We know
P
1
,
T
1
, and
T
2
. Thus, we can calculate
P
2
.
P
2
=
P
1
×
T
2
T
1
= 1.00 atm ×
303.2
K
293.2
K
= 1.03 atm
Δ
P
=
P
2
–
P
1
= (1.03 -1.00) atm = 0.03 atm
The pressure increases by 0.03 atm.
This makes sense. The temperature increases by 10 parts in 300 or 3 parts in 100 (3 %). So the pressure should increase by about 3 % (0.03 atm).
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Answer:
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