Question

& Dinitrogen monoxide (NO), laughing gas is used by dentists as an anestheticIf 2.86 mol of gas occupies a 20.0 liter tank at 23 °C what is the pressure(mmHg in the tank in the dentist office?

Answer 1

`2,644.80\text{ mmHg}`

Step-by-step explanation:

Here, we want to get the pressure occupied in the gas tank

Mathematically, we can use the ideal gas equation to find this out as follows:

`\begin{gathered} PV\text{ = nRT} \\ P\text{ = }(nRT)/(V) \end{gathered}`

where:

P is the pressure in mmHg which we want to calculate

V is the volume which is 20 L

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

T is the temperature in Celsius which we have to convert to Kelvin by adding 273 (273 + 23 = 296 K)

n is the number of moles which is 2.86 mol

Substituting the values, we have it that:

`P\text{ = }(2.86*0.0821*296)/(20)\text{ = 3.48 atm}`

Now, we have to convert this to mmHg

To do this, we have to multiply the atm value by 760 mmHg

We have that as:

`3.48\text{ }*\text{ 760 = 2,644.80 mmHg}`