Question

A sample of gas occupies 280 mL when the pressure is 560.00 mm Hg . If the temperature remains constant , what is the new pressure if the volume changes to 560.0 mL?

Answer 1

Answer : The new pressure if the volume changes to 560.0 mL is, 280 mmHg

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 = 560.00 mmHg

`P_2` = final pressure = ?

`V_1` = initial volume = 280 mL

`V_2` = final volume = 560.0 mL

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

`560.00mmHg* 280 mL=P_2* 560.0 mL`

`P_2=280mmHg`

Therefore, the new pressure if the volume changes to 560.0 mL is, 280 mmHg