First slide

laws

Question

The graph drawn with absolute temperature T on X-axis and pressure of an ideal gas P on Y-axis is as shown. As the temperature of the gas increases, the volume

Moderate

A

increases
B

decreases
C

remains constant
D

first increases and then decreases

Solution

$PV = nTR$ . This gives $V = nTR / P$ . As the graph is not passing through the origin and has positive slope (a) and negative intercept on Y-axis (-b), its equation can be written as $P = aT - b$ . Substitution gives $V = \frac{n T R}{a T - b} = \frac{nR}{a - (b / T)}$ . As T increases the denominator increases and hence V decreases

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