Consider the following statements about a fixed amount of an ideal gas: I. At constant temperature the product P V is constant. II. On a plot of P vs 1/ V , the isotherm at the higher temperature has

Question

Consider the following statements about a fixed amount of an ideal gas:

I. At constant temperature the product $P V$ is constant.

II. On a plot of $P$ vs 1/ $V$ , the isotherm at the higher temperature has the larger slope.

III. At constant volume, the plot of $P$ vs $T$ (in kelvin) is a straight line through the origin.

IV. At constant pressure, the volume doubles when the Celsius temperature is doubled.

Which of the above statements are correct?

TestHub · Accepted Answer

I is Boyle's law: true.

II The slope of $P$ vs 1/ $V$ is $n RT$ , which is larger at the higher temperature: true.

III $P$ = ( $n R$ / $V$ ) $T$ passes through the origin: true.

IV $V$ is proportional to the Kelvin temperature, not the Celsius temperature (27° $C$ to 54° $C$ raises $T$ only from 300 K to 327 K): false.

Correct: I, II and III only. Answer: ( $C$ ).

Chemistry - Ideal Gas Question with Solution | TestHub