Question

Which of the following statements illustrate Boyle’s law?

Answer 1

Hint: Boyle’s law was written by Charles Boyle in $ 1662 $ . It is also called the Mariotte’s law. At sufficiently low pressure the ideal gases obey Boyle’s law.

Complete answer:
Boyle’s law states the relation between pressure and volume at a given temperature. According to Boyle’s law pressure is inversely proportional to the volume at constant temperature. $ P = \dfrac{1}{V} $
Therefore $ P = \dfrac{K}{V} $ here $ K = $ constant
 $ PV = K $
Hence the product of the pressure and volume always remain constant.
 Imagine a gas is contained in a box maintained at a constant temperature. Since gas molecules are not aligned and have a random motion they can be compressed easily because of the empty space in between their molecules. The box is attached with a manometer (device used to measure pressure in a container). As we compress the gas, volume in the box decreases and pressure indicated on the manometer increases, hence proving Boyle's law.
Therefore the correct option is D.

Note:
Kinetic theory of gases can be used to derive this law. The number of molecules (n) and temperature (T) should be constant in order for Boyle’s law to be true. Boyle’s law can be expressed as $ {P_1}{V_1} = {P_2}{V_2} $ .