Question

Will the volume of a fixed amount of a gas increase, decrease, or remain unchanged with an increase in pressure at constant temperature?

Answer 1

Answer: The final volume decrease with an increase in pressure at constant temperature

Step-by-step explanation:

According to Boyle's law, pressure of a gas is inversely proportional to the volume of a gas at constant temperature and constant number of moles.

`{P_1V_1}={P_2V_2}`

where,

`P_1` = let initial pressure of gas = p

`P_2` = final pressure of gas = 2p

`V_1` = initial volume of gas = v

`V_2` = final volume of gas = ?

Now put all the given values in the above equation, we get:

`{p* v}={2p* V_2}`

`V_2=(v)/(2)`

Thus the final volume decrease with an increase in pressure at constant temperature