Question

Boyle’s law described the relation between the pressure and temperature. While Charles’s law described the relationship between volume and temperature

True

False

Answer 1

Answer:

True

Explanation:

Well, I don't know how you combined them since they are independent laws but if you did this:

From Boyle's law: we know “pV = constant”.

From charles' law: we know “V/T = constant”.

Substituting expression of volume from charles' law in Boyle's law expression, we get, “p = constant/T”. Justification for this being that volume remains constant.

Step 3 has a catch. Since in Boyle's law, it is clearly stated that temperature remains constant, so when we perform step 3, temperature term in Boyle's law expression must be a constant itself otherwise the law won't hold true. And if we justify that volume remains constant after substitution in step 3, and taking the above point into consideration, we get “p=constant”, which is quite obvious.

If this is what you did, then it is wrong. We combine the gas laws as per proportionality keeping a single variable (dependent) like pressure on one side while the other quantities like volume, temperature, etc on the other side and then introduce a constant of proportionality by assuming the statements of the gas laws to hold true.

See derivation of ideal gas equation

Answer 2

True

Explanation:

Boyle's law :

When temperature of a gas is kept constant, the volume of a fixed mass of gas is inversely proportional to its pressure. We can also say that, For an invariable mass of a perfect gas, at constant temperature, the product of its pressure and volume is a constant.

$\bullet{\:P\:∝\:{\dfrac{1}{V}}}$

i.e. ${P}{V}$ = constant

Charles's law :

When a pressure of gas is kept constant, the volume of a gas is directly proportional to the temperature of the gas. It was formulated by a French scientist Jacques Charles.

$\bullet{\:V\:∝\:T}$

i.e. ${\dfrac{V}{T}}$ = constant

More about this Topic :

The three fundamental laws which connects the relation between pressure, volume and temperature are as follows :

1. Boyle's Law
2. Charles's Law
3. Avagadro's Law

Avagadro's Law :

This law states that at constant temperature, the volume of a gas is directly proportional to the number of atoms or molecules present in it.

$\bullet{\:V\:∝\:n}$

i.e. ${\dfrac{V}{n}}$ = constant