Question

For a fixed mass of a gas at constant pressure, which of the following statement(s) is/are not correct?

• A. Plot of volume versus temperature ${(}^{\circ }\text{C})$ is linear with intercept zero
• B. Plot of volume versus temperature (K) is linear with a non-zero intercept
• C. Plot of V/T versus T is linear with a positive slope
• D. Plot of V/T versus T is linear with a zero slope

Answer 1

Answer: (A), (B), (C)

Plot of V/T versus T is linear with a positive slope

$n,p$ : constants $\therefore \frac{V}{T_{\left(K\right)}}=\text{const.}$
(Charle's law)
$\to V\text{vs}{T}_{{(}^{o}C)}$is a straight line but has a y-intercept.
$\to V\text{vs}{T}_{\left(K\right)}$ is a straight line through origin.
$\to \frac{V}{T}\text{vs}T$ is a straight line parallel to X-axis (as $V/T$ constant)
$\to \frac{V}{T}\text{vs}T$ has zero slope.
$\therefore$ [A], [B], [C]