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.

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.

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).