If gas in a sealed container has a pressure of 50 kPa at 300 K, what will the pressure be if the temperature rises to 360 K?

60 kPa

161 kPa

41 kPa

16 kPa

Respuesta :

znk

Answer:

[tex]\boxed{\text{60 kPa}}[/tex]

Explanation:

The volume and number of moles are constant, so we can use Gay-Lussac’s Law:

At constant volume, the pressure exerted by a gas is directly proportional to its temperature.

[tex]\dfrac{p_{1}}{T_{1}} = \dfrac{p_{2}}{T_{2}}[/tex]

Data:

p₁ = 50 kPa; T₁ = 300 K

p₂ = ?;          T₂ = 360 K

Calculation:

[tex]\begin{array}{rcl}\dfrac{50}{300} & = & \dfrac{p_{2}}{360}\\\\\dfrac{1}{6} & = & \dfrac{p_{2}}{360}\\\\\dfrac{360}{6} & = & p_{2}\\\\p_{2} & = & \mathbf{60}\\\end{array}[/tex]

[tex]\text{The new pressure will be $\boxed{\textbf{60 kPa}}$}[/tex]