Question

A rigid container of O2 has a pressure of 3.4 atm at a temperature of 713 K. What is the pressure at 273 K?

Answer 1

Data:

`P_(1) = 3.4\:atm`

`T_(1) = 713\:K`

`P_(2) = ?`

`T_(2) = 273\:K`

Formula:

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

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

Solving:

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

`3.4*713 = P_(2) * 273`

`2424.2 = 273P_(2)`

`273P_(2) = 2424.2`

`P_(2) = (2424.2)/(273)`

`\boxed{\boxed{P_(2) \approx 8.87\:atm}}\end{array}}\qquad\quad\checkmark`