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

Answer:

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).