Question

1. this graph is an example of two variables that are: at constant temperature - remote from liquefaction directly proportional straight line inversely proportional no relation 9. 100 kelvin is ______ degrees celsius 373 -173 0 200

Explanation:

Step1: Analyze volume - pressure relationship

As the graph shows, when volume (V) increases, pressure (p) decreases and vice - versa at constant temperature. This is the characteristic of an inverse relationship. Mathematically, for two variables \(x\) and \(y\), if \(y=\frac{k}{x}\) (\(k\) is a non - zero constant), they are inversely proportional. Here \(V=\frac{k}{p}\) (Boyle's law for an ideal gas at constant temperature).

Step2: Convert Kelvin to Celsius

The conversion formula from Kelvin (\(K\)) to Celsius (\(C\)) is \(C = K - 273\). Given \(K = 100\), then \(C=100 - 273=- 173\).

Answer:

1. C. inversely proportional
2. B. -173