Question

At constant volume, a container of gas at atmospheric pressure is heated from 27 degrees Celsius to 77 degrees Celsius. What is the final pressure?

Answer 1

Given:

$P_{1} = \text{1.00 atm}$

$T_{1} = 27^{\circ}\text{C + 273 = 300 K}$

$T_{2} = 77^{\circ}\text{C + 273 = 350 K}$

Unknown:

$P_{2}$

Solution:

$\frac{P_{1}}{T_{1}} = \frac{P_{2}}{T_{2}}$

$P_{2} = P_{1} × \frac{T_{2}}{T_{1}}$

$P_{2} = \text{1.00 atm} × \frac{\text{350 K}}{\text{300 K}}$

$\boxed{P_{2} = \text{1.17 atm}}$