# Gay-Lussac's Law (Grades 11-12)

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## Gay-Lussac's Law

**Instructions:**
Read each question carefully. Choose the answer that best fits the question. Short answer response questions must be responded to in complete sentences. If the question involves calculations, you must show all your math work.

1.

The xenon gas inside the bulb of a car headlight has a pressure of 2.00 ATM at a temperature of 300 K. If the temperature of the gas rises to 1200 K when the headlights are switched on, what will be the new pressure inside the bulb?

2.

Gay-Lussac's Law states that the pressure of a gas is directly proportional to the absolute temperature for a fixed mass of gas held at a constant volume.

- True
- False

3.

If a gas has a pressure of 350 mmHg at 20°C. What pressure will it exert if its temperature is raised to 40°C without a change in volume?

4.

A gas has a pressure of 655 mmHg at [math]25 degC[/math]. To what temperature must it be heated in order to raise its pressure to 825 mmHg?

5.

Under conditions of fixed volume and amount of gas, Gay-Lussac's law requires that

I. [math]P_1T_2=P_2T_1[/math].

II. PT = constant.

III. [math]P_1/T_1=P_2/T_2[/math].

I. [math]P_1T_2=P_2T_1[/math].

II. PT = constant.

III. [math]P_1/T_1=P_2/T_2[/math].

- I only
- II only
- III only
- I and III
- I, II, and III

6.

Use Gay-Lussac's Law, [math]P_1T_2=P_2T_1[/math], to solve the following problems. Temperature units should be in [math]degK[/math].

A.

If a gas has a pressure of 450mm Hg and a volume of 250mL at a temperature of [math]22degC[/math], what would the new temperature be at 760mm Hg?

B.

A gas has a pressure of [math]2.36kPa[/math] at [math]62degC[/math]. What is the pressure at standard temperature?

C.

A gas has a pressure of 742.3mm Hg at [math]47degC[/math]. What is the temperature at standard pressure?

D.

If a gas, at a pressure of [math]731mmHg[/math], is cooled from [math]376degK[/math] to [math]254degK[/math], and the volume is kept constant, what will the final pressure of the gas be?

E.

If a gas in a closed container is pressurized from 9.0atm to 14atm, and its original temperature was [math]34degC[/math], what will the final temperature of the gas be?

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