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:

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<reasoning>

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 (\(P \propto T\)).

</reasoning>

<answer>
<mcq-option>Boyle's law</mcq-option>
<mcq-option>Charles's law</mcq-option>
<mcq-option>Dalton's law</mcq-option>
<mcq-correct>Gay-Lussac's law</mcq-correct>
</answer>

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Answer:

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<reasoning>

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 (\(P \propto T\)).

</reasoning>

<answer>
<mcq-option>Boyle's law</mcq-option>
<mcq-option>Charles's law</mcq-option>
<mcq-option>Dalton's law</mcq-option>
<mcq-correct>Gay-Lussac's law</mcq-correct>
</answer>

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