Question

A student measures the volume of a gas sample at several different temperatures. The results are tabulated as follows:Temperature of gas (K) Volume of gas (L)298 4.55315 4.81325 4.96335 Formulate a tentative law from the measurements.Check all that apply.

a. The temperature of a gas is directly proportional to its volume.
b. The temperature of a gas is inversely proportional to its volume.
c. The temperature-to-volume ratio of a gas is constant.
d. The temperature-to-volume ratio of a gas isn't constant.

Answer 1

The data provided by the student supports the formulation of a tentative law that aligns with Charles's law, indicating that the temperature of a gas is directly proportional to its volume, and the temperature-to-volume ratio of a gas is constant when pressure is held constant.

Step-by-step explanation:

The student's measurements of the volume of a gas sample at different temperatures demonstrate a principle in chemistry known as Charles's law. According to this law, the volume of a gas is directly proportional to its temperature when pressure is held constant. Given the data provided, we can infer that as the temperature of the gas increases, so does its volume. This observation can be used to tentatively declare a law based on the student's measurements.

From the answer choices provided:

• a. The temperature of a gas is directly proportional to its volume.
• c. The temperature-to-volume ratio of a gas is constant when measured in kelvins and pressure is constant.

These explanations are consistent with the observed data that show the volume of the gas increases with increasing temperature. Thus, choices (a) and (c) are the correct interpretations of the experimental data.

Answer 2

Check the first and the third choices:

• a. The temperature of a gas is directly proportional to its volume

• b. The temperature-to-volume ratio of a gas is constant.

Step-by-step explanation:

Rewrite the table for better understanding:

Temperature of gas (K) Volume of gas (L)

298 4.55

315 4.81

325 4.96

335 ?

Calculate the ratios temperature to volume with 3 significant figures:

• 298 / 4.55 = 65.5

• 315 / 4.81 = 65.5

• 325 / 4.96 = 65.5

Then, those numbers show a constant temperature-to-volume ratio, which may be expressed in a formula as:

• Temperature / Volume = constant, which is a directly proportional variation (the volume increases in a constant proportion to the increase of the temperature).

Hence, the correct choices are:

• The temperature of a gas is directly proportional to its volume (first statement), and

• The emperature-to-volume ratio of a gas is constant (third statement).