Question

A 1.5L sample of a gas at 150kPa and 250K is changed to STP. What is the new volume?

Answer 1

Answer: The new volume is 2.4 L

Explanation:

Combined gas law is the combination of Boyle's law, Charles's law and Gay-Lussac's law.

The combined gas equation is,

$\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}$

where,

$P_1$ = initial pressure of gas = 150 kPa

$P_2$ = final pressure of gas =  101 kPa (at STP)

$V_1$ = initial volume of gas = 1.5 L

$V_2$ = final volume of gas = ?

$T_1$ = initial temperature of gas = 250 K

$T_2$ = final temperature of gas = 273 K ( at STP)

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

$\frac{150\times 1.5}{250}=\frac{101\times V_2}{273}$

$V_2=2.4L$

Thus the new volume is 2.4 L