# Gas stored in a tank at 273 K has a pressure of 388 kPa. The safe limit for the pressure is 825 kPa. At what temperature will the gas reach this pressure?

Nov 24, 2015

The temperature at which the gas pressure inside the tank will equal 825 kPa is 508 K.

#### Explanation:

Gay-Lussac's law states that the pressure of a gas held at constant volume is directly proportional to its temperature in Kelvins.

The equation for Charles' law is ${P}_{1} / {T}_{1} = {P}_{2} / {T}_{2}$.

${P}_{1} = \text{388 kPa}$
${T}_{1} = \text{273 K}$
${P}_{2} = \text{825 kPa}$
${T}_{2} = \text{???}$

Rearrange the equation to isolate ${T}_{2}$, substitute the given values, and solve.

${T}_{2} = \frac{{P}_{2} {T}_{1}}{{P}_{1}}$

T_2=(825cancel"kPa"xx273"K")/(388cancel"kPa")="580 K"