# A sample of gas occupies 10.0 L at 100.0 torr and 27.0C. Calculate the pressure if the temperature is changed to 127C while the volume remains constant?(133torr)

## gay -lussac's law

Jul 30, 2018

The final pressure is $= 133.3 \text{torr}$

#### Explanation:

Apply Gay Lussac's Law

$\text{ Pressure "/"Temperature (K)"=" Constant }$

When the volume is kept constant.

${P}_{1} / {T}_{1} = {P}_{2} / {T}_{2}$

The initial pressure is ${P}_{1} = 100 \text{ torr}$

The initial temperature is ${T}_{1} = {27}^{\circ} C = 273 + 27 = 300 K$

The final temperature is ${T}_{2} = {127}^{\circ} C = 273 + 127 = 400 K$

The final pressure is

${P}_{2} = {T}_{2} / {T}_{1} \cdot {P}_{1} = \frac{400}{300} \cdot 100 = 133.3 \text{torr}$