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

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:

${p\times v}={2p\times V_2}$

$V_2=\frac{v}{2}$

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