Question

If temperature is held constant for an ideal gas, as P and V change for a given gas sample, the PV products will be constant.

a. True
b. False

Answer 1

The correct answer to the question is True.

Step-by-step explanation:

Before going to answer this question, first we have to understand Boyle's law.

Boyle's law states that the volume of a given mass of a gas is inversely proportional to the pressure at constant temperature.

Let P and V are the pressure and volume of an ideal gas at temperature T.

Mathematically it can be written as -

`V\ \alpha\ (1)/(P)` [ Temperature T = constant]

⇒
`V=\ (K)/(P)`

⇒
`PV=\ K`

Here, K is the proportionality constant.

From above, we see that the product of pressure and volume of an ideal gas is constant when the temperature of the gas is kept constant.

Hence, the statement is true.