IBPS PO Mains Preparation . 738526
IBPS PO Mains Preparation Guidelines
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March 13, 2025Boyle’s Law comes under the chapter States of Matter and provides the relation between gas and volume. The law was named after chemist and physicist Robert Boyle, who published the original law in 1662. Boyle showed that the volume of air trapped by a liquid in the closed short limb of a J-shaped tube decreased in exact proportion to the pressure produced by the liquid in the long part of the tube. The law states that “at a constant temperature, the pressure of a fixed amount (i.e., number of moles n) of gas varies inversely with its volume“.
In this article, we will help you understand Boyle’s Law, its derivation, formula, and how to solve questions using the law.
The law states that the absolute pressure and volume of a given mass of confined gas are inversely proportional, provided the temperature remains unchanged within a closed system. According to Boyle’s Law, the pressure exerted by a fixed amount of gas (no. of moles) is inversely proportional to the volume, when the temperature is kept constant.
p ∝ 1/V or p ∝ \(\frac{1}{V}\)
p = k1 \(\frac{1}{V}\)
In the above equation, k1 is the proportionality constant. The value of constant k1 depends upon the amount of the gas, the temperature of the gas, and the units in which p and V are expressed.
So the above equation becomes pV = k1.
From the above graphs and equations we now know that at a constant temperature, a product of pressure and volume of a fixed amount of gas is constant.
So, if a fixed amount of gas at constant temperature (T) occupying volume (V1) at pressure (p1) undergoes expansion, so that volume becomes (V2) and pressure becomes (p2), then as per Boyle’s law:
p1 V1 = p2 V2 = constant
⇒ \(\mathbf{\frac{p1}{p2}=\frac{V2}{V1}}\).
When Boyle experiments are carried out in a quantitative manner they prove that gases are highly compressible. This is because when a given mass of a gas is compressed, the same number of molecules occupy a smaller space.
Hence we can obtain a relation between density and pressure by using this law.
we know that density = mass per unit volume ⇒ d = m/V.
Putting the value in the equation we get d = (m/k1) p = k′ p. This equation proves that at a constant temperature, pressure is directly proportional to the density of a fixed mass of the gas.
Here we will provide you with some solved questions that require the application of Boyle’s law:
Example 1: A balloon is filled with hydrogen at room temperature. It will burst if pressure exceeds 0.2 bar. If at 1 bar pressure the gas occupies 2.27 L volume, upto what volume can the balloon be expanded?
Solution 1: From Boyle’s Law we have p1V1 = p2V2
Example 2: A vessel of 120 mL capacity contains a certain amount of gas at 35°C and 1.2 bar pressure. The gas is transferred to another vessel of volume 180 mL at 35°C. What would be its pressure?
Solution 2: Here also we will use Boyle’s Law equation.
Example 3: At 0°C, the density of a gaseous oxide at 2 bar is same as that of dinitrogen at 5 bar. What is the molecular mass of the oxide?
Solution 3: To solve this we will use the expression, d =MP/RT. It is already given that the temperature and density are the same. Therefore,
Boyle’s law states that under isothermal conditions, the pressure of a fixed amount of a gas is inversely proportional to its volume. Here are some real-life examples are:
Here are some questions that students generally search on Boyle’s Law:
Q. What does Boyle’s Law? Ans. It provides the empirical relation between pressure and volume at constant temperature. That is p ∝ 1/V. |
Q. How do you calculate Boyle’s Law? Ans. Boyles law itself provides the relationship between volume and pressure and is used to carry out different experiments, you can use the equation p1V1 = p2V2. |
Q. How do you solve Boyle’s law problems? Ans. We use the equation p1V1 = p2V2 to solve the problems that require the application of Boyles law. |
After providing you with all the information on Boyle’s Law we have reached the end of this article. If you have further questions feel to use the comments section and we will provide you with an update.
IBPS PO Mains Preparation . 738526
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