Question

If the pressure exerted on a 400 ml sample of hydrogen gas at constant temperature is increased from 1.5 atm to 5 atm, what will be the final volume of the sample?

Answer 1

Answer : The final volume of the sample of gas is, 120 mL

Explanation :

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

`P\propto (1)/(V)`

or,

`P_1V_1=P_2V_2`

where,

`P_1` = initial pressure = 1.5 atm

`P_2` = final pressure = 5 atm

`V_1` = initial volume = 400 mL

`V_2` = final volume = ?

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

`1.5atm* 400mL=5atm* V_2`

`V_2=120mL`

Therefore, the final volume of the sample of gas is, 120 mL