Question

4. The volume of a sample of a gas at STP is 200.0 ml. If the pressure is increased to 4.00 atmospheres (temperature constant), what is the new volume?

Answer 1

Answer : The value of new volume is, 50.0 mL

Explanation :

Boyle's Law : It is defined as the pressure of the gas is inversely proportional to the volume of the gas at constant temperature and number of moles.

$P\propto \frac{1}{V}$

or,

$P_1V_1=P_2V_2$

where,

$P_1$ = initial pressure at STP = 1 atm

$P_2$ = final pressure =  4.00  atm

$V_1$ = initial volume at STP = 200.0 mL

$V_2$ = final volume = ?

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

$1atm\times 200.0mL=4.00atm\times V_2$

$V_2=50.0mL$

Therefore, the value of new volume is, 50.0 mL