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28 December, 20:13

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.

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  1. 28 December, 23:54
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    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).
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