Q70
The temperature of a gas in a closed container is 27° C. If the temperature of the gas is incresed to 300° C, then the pressure exerted is
A.
Doubled
AnswerB.
Halved
C.
Trebled
D.
Unpredictable
Answer: Option A
Solution
Answer: Option A
Solution:
According to Gay-Lussac's Law, for a gas at constant volume, the pressure is directly proportional to the absolute temperature: P ∝ T.First, convert the given temperatures to Kelvin:
Initial temperature (T₁): 27°C + 273 = 300 K
Final temperature (T₂): 300°C + 273 = 573 K
Using the formula P₂ = P₁ × (T₂ / T₁):
P₂ = P₁ × (573 / 300) ≈ P₁ × 1.91
This shows that the final pressure is approximately 1.91 times the initial pressure, which is nearly double.
Therefore, the pressure exerted is best described as doubled.