# Charles' Law (Grades 11-12)

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## Charles' 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.

According to Charles' Law, if the temperature of a gas is increased,

- the volume will increase.
- the volume will decrease.
- the pressure will increase.
- the pressure will decrease.

2.

Last year, Casey brought a cooler containing dry ice (solidified carbon dioxide) to school. Before he went back to the main building, I gave him an empty two liter bottle to use in a demonstration for an elementary class. The temperature in the annex at the time was 22°C. Because he had books in one hand and was pulling the cooler with the other hand, he chose to place the two liter bottle in the cooler with the dry ice. The temperature in the cooler with the dry ice was approximately -75°C. Assuming the lid was firmly closed and there were no leaks, what was the volume of the bottle after it cooled down inside the cooler?

3.

A young mother buys a balloon with a volume of 3 liters from a street vendor on North Broadway that reads "Happy Birthday!" If the temperature outside were 12°C at the time, what would be the volume of the balloon, assuming the pressure stays the same, inside their house where the thermometer reads 27°C?

4.

A sample of gas has a volume of 430 ml in the laboratory on a warm day when the wall thermometer reads 25°C. What would be the volume of the sample if you were to place it in the freezer in the office where the temperature is -10°C?

5.

A gas sample has a volume of 1.5 liters when the thermometer on the wall reads 25°C. What volume will it occupy if it is warmed to 100°C?

6.

If you were to apply heat to a gas sample with a volume of 2.0 liters starting from 26°C and stopping at 100°C, what would be its volume when you stop heating the sample?

7.

Use Charles Law, [math]V_1T_2=V_2T_1[/math], to solve the following problems. Temperature units should be in [math]degK[/math].

A.

A container holds 50.0 mL of nitrogen gas at 25° C and a pressure of 736 mm Hg. What will be its volume if the temperature increases by 35° C?

B.

A sample of oxygen occupies a volume of [math]160dm^3[/math] at [math]91degC[/math]. What will be volume of oxygen when the temperature drops to [math]0.00degC[/math]?

C.

A sample of hydrogen has an initial temperature of [math]50.0degC[/math]. When the temperature is lowered to [math]-5.0degC[/math], the volume of hydrogen becomes [math]212L[/math]. What was the initial volume of the hydrogen in L?

D.

A sample of helium has a volume of [math]521L[/math] at a pressure of [math]75cmHg[/math] and a temperature of [math]18degC[/math]. When the temperature is increased to [math]23degC[/math], what is the volume of the helium?

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