Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

which law states that the pressure and absolute temperature of a fixed …

Question

which law states that the pressure and absolute temperature of a fixed quantity of gas are directly proportional under constant volume conditions?

boyles law
charless law
daltons law
gay-lussacs law

Explanation:

Analyze the relationship described in the question

The question asks for the law stating that the pressure (\(P\)) and absolute temperature (\(T\)) of a fixed quantity of gas are directly proportional under constant volume (\(V\)) conditions:

$$P \propto T \quad \text{at constant } V \text{ and } n$$

Evaluate the given multiple-choice options

  • Boyle's law: Relates pressure and volume at constant temperature (\(P \propto \frac{1}{V}\)).
  • Charles's law: Relates volume and absolute temperature at constant pressure (\(V \propto T\)).
  • Dalton's law: States that the total pressure of a mixture of gases is the sum of the partial pressures of the individual gases.
  • Gay-Lussac's law: Relates pressure and absolute temperature at constant volume (\(P \propto T\)).

Answer:

  • Boyle's law
  • Charles's law
  • Dalton's law
  • Gay-Lussac's law (Correct answer)