Question

A 20.0 L gas cylinder is filled with 8.20 moles of gas. The tank is stored at 53 ∘C . What is the pressure in the tank? Express your answer to three significant figures and include the appropriate units.

Answer 1

Answer:

$11.0\text{ atm}$

Explanation:

Here, we want to get the pressure of the tank

To get this, we use the ideal gas equation as follows

Mathematically:

$\begin{gathered} PV\text{ = nRT} \\ P\text{ = }\frac{nRT}{V} \end{gathered}$

Where:

P is the pressure which we want to calculate

V is the volume which is 20 L

n is the number of moles which is 8.20

T is the temperature that we have to convert to Kelvin by adding 273 (53 + 273 = 326 K

R is the molar gas constant which is 0.0821 L.atm/mol.K

Substituting the values, we have it that:

$P\text{ = }\frac{8.20\times0.0821\times326}{20}\text{ = 11.0 atm}$