Astudent 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 volumeb. 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 = 65.5315 / 4.81 = 65.5325 / 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), andThe emperature-to-volume ratio of a gas is constant (third statement).

Pretty sure the answer is b : )

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