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For 1 mole of an ideal gas maintained at a fixed temperature T, what is the nature of the graph between log(P) and log(V), where P denotes pressure and V denotes volume?

1. A straight line parallel to the x-axis
2. A straight line having a negative slope
3. A curve that begins from the origin
4. A straight line that passes through the origin

Correct answer: A straight line having a negative slope

Solution

The relationship between pressure and volume for an ideal gas at constant temperature is described by Boyle's Law, which states that pressure is inversely proportional to volume. When both pressure and volume are expressed in logarithmic form, this inverse relationship results in a straight line with a negative slope on a log-log graph.

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