Question

which graph represents the relationship between the volume of a gas and the temperature in kelvin, when starting from 0? a b c d a d b b c a d c

Explanation:

Step1: Recall Charles's Law

Charles's Law states that \( V\propto T\) (where \(V\) is volume and \(T\) is temperature in Kelvin) for a gas at constant pressure. Mathematically, \(V = kT\) (where \(k\) is a constant). When \(T = 0\space K\), \(V=0\).

Step2: Analyze the graphs

• Graph A: Shows an inverse relationship (\(V\) decreases as \(T\) increases), which is not in line with Charles's Law.
• Graph B: Since \(V = kT\) and when \(T = 0\), \(V = 0\), it is a straight - line passing through the origin (\(y=mx\) form where \(m = k\) and \(b = 0\) in \(y=mx + b\)).
• Graph C: Shows \(V\) is constant as \(T\) changes, which is not in line with Charles's Law.
• Graph D: Does not pass through the origin (\(V

eq0\) when \(T = 0\)), which is not in line with Charles's Law (\(V\propto T\) with \(V = 0\) at \(T=0\)).

Answer:

B.