Question

Assertion (A): The product of pressure and volume for a fixed amount of a gas is equal to a constant
Reason (R): At constant temperature, for a fixed amount of a gas, pressure is inversely proportional to
volume
a) Both A and R are correct and R is the correct explanation of A
b) Both A and R are correct and R is not the correct explanation of A
c) A is correct. R is incorrect.
d) A is incorrect. R is correct.​

Answer 1

$\large{\underline{\underline{\red{\tt{\purple{\leadsto } AssertioN:-}}}}}$

The product of pressure and volume for a fixed amount of a gas is equal to a constant

$\large{\underline{\underline{\red{\tt{\purple{\leadsto } ReasoN:-}}}}}$

At constant temperature, for a fixed amount of a gas, pressure is inversely proportional to

volume

$\large{\underline{\underline{\red{\tt{\purple{\leadsto } SolutioN:-}}}}}$

We should know Boyle's Law which states that ,

At constant temperature the volume of a given mass of gas is inversely proportional to pressure.

$\pink{\underbrace{\underline{\boxed{\purple{\tt{\dag Pressure\:\:\propto\:\:\dfrac{1}{Volume}}}}}}}$

Also , we can say that ,

$\pink{\underbrace{\underline{\boxed{\purple{\tt{\dag P_1V_1=P_2V_2}}}}}}$

The Assertion given us to is that the product of pressure and volume for a fixed amount of gas is equal to constant which is true , by Boyle's Law.

The reason given us to is that at constant temperature for a fixed amount of gas pressure is inversely proportional to volume which is also true.

Also here reason is a correct explanation of assertion.

Hence both assertion and reason are true and Reason is a correct explanation of assertion.