Question

A ballon filled with oxygen occupies a volume of 4.9 L at 30C. What volume will the gas occupy at 199C?

Answer 1

Data:

`V_(initial) = 4.9\:L`

`T_(initial) = 30^0C`
converting to Kelvin
TK = TC + 273
TK = 30 + 273 → TK = 303 →
`T_(initial) = 303\:K`

`V_(final) = ? (in\:liters)`

`T_(final) = 199^0C`
TK = TC + 273
TK = 199 + 273 → TK = 472 →
`T_(final) = 472\:K`

By the first Law of Charles and Gay-Lussac, we have:

`( V_(i) )/( T_(i) ) = ( V_(f) )/( T_(f) )`

Solving:

`( V_(i) )/( T_(i) ) = ( V_(f) )/( T_(f) )`

`( 4.9 )/( 303 ) = ( V_(f) )/( 472 )`
Product of extremes equals product of means:

`303* V_(f) = 4.9*472`

`303 V_(f) = 2312.8`

`V_(f) = (2312.8)/(303)`

`\boxed{\boxed{V_(f) \approx 7.63\:L}}\end{array}}\qquad\quad\checkmark`