Question

Weather balloon is filled with 62.3 L of helium gas at 760 mm of Hg after being released the volume increases to 130 L as the balloon rises, what is the pressure at this new altitude?

Answer 1

Answer : The pressure at this new altitude is, 364.2 mmHg

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 = 760 mmHg

$P_2$ = final pressure = ?

$V_1$ = initial volume = 62.3 L

$V_2$ = final volume = 130 L

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

$760mmHg\times 62.3L=P_2\times 130L$

$P_2=364.2mmHg$

Thus, the pressure at this new altitude is, 364.2 mmHg