Question

What will be the volume of a balloon at 98 kPa if its volume is 9.65 L at 235 kPa?

Answer 1

Boyle's Law or Boyle-Mariotte's Law: Under constant temperature, the volume occupied by a given fixed mass of a gas is inversely proportional to its pressure.

Formula:

`( P_(1) )/( P_(2) ) = ( V_(2) )/( V_(1) )`
Product of extremes equals product of means

`P_(1) * V_(1) = P_(2) * V_(2)`

Data:

`P_(1) = 235\:kPa`

`V_(1) = 9.65\:L`

`P_(2) = 98\:kPa`

`V_(2) = ?`

Solving:

`P_(1) * V_(1) = P_(2) * V_(2)`

`235*9.65 = 98*V_(2)`

`2267.75 = 98V_(2)`

`98V_(2) = 2267.75`

`V_(2) = (2267.75)/(235)`

`\boxed{\boxed{V_(2) \approx 23.14\:L}}\end{array}}\qquad\quad\checkmark`