If a gas sample has a pressure of 30.7 kPa at 0.00°C, by how much does the temperature have to decrease to lower the pressure to 28.4 kPa?
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Answered by
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Answer:
T
2
=
−
20.5
∘
C
Explanation:
In this question I assume that the volume is unchanged and therefore, we can use the following law:
P
T
=
k
Then,
P
1
T
1
=
P
2
T
2
⇒
T
2
=
T
1
P
1
×
P
2
⇒
P
2
=
273.15 K
30.7
kPa
×
28.4
kPa
=
252.69 K
Therefore, the temperature should be lowered to:
252.69
−
273.15
=
−
20.464
∘
C
⇒
T
2
=
−
20.5
∘
C
to 3 sig figs.
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