# Air in a tightly sealed bottle has a pressure of 0.978 atm at 25.5°C. What will its pressure be if the temperature is raised to 46.0°C?

Jun 20, 2016

This sounds dangerous; I hope it was not a glass bottle.

#### Explanation:

At constant volume, and constant amount of gas, $\frac{{P}_{1}}{T} _ 1 = {P}_{2} / {T}_{2}$.

Thus ${P}_{2}$ $=$ $\frac{{P}_{1}}{T} _ 1 \times {T}_{2}$.

With all gas problems, we use absolute temperature:

$\text{Absolute Temperature (K)}$ $=$ ""^(@)C+273.15*K

${P}_{2}$ $=$ $\frac{0.978 \cdot a t m}{298.5 \cdot K} \times 329 \cdot K$ $=$ ??atm.

Why would this experiment be a problem, it if were a glass bottle?