Question

5. What is the amount of moles of nitrous oxide gas (N2O) used to sedate Mr. Muthbefore his wisdom teeth are pulled? The pressure is 2.5 atm, a temperature of 25.and volume of 1.67L?tbd

Answer 1

Step 1 - Understanding how mole relates to temperature, pressure and volume

These variables are related according to the ideal gas equation:

`pV=nRT`

We can use this equation to predict the behavior as well as the quantity of a gas, given that the remaining variables are given.

Step 2 - Using the equation to solve the equation

According to the exercise:

`\begin{gathered} p=2.5atm \\ T=25°C\text{ \lparen298 K\rparen} \\ V=1.67L \\ n=? \end{gathered}`

Setting the values in the equation:

`2.5*1.67=nR*298`

We need to make two observations now: the temperature must be in Kelvin in this equation for it to work. R stands for the universal gas constant, as has the value of 0.082 atm.L/mol.K.

Therefore:

`\begin{gathered} 2.5*1.67=n*0.082*300 \\ \\ n=(4.17)/(24.6)=0.169\approx0.17 \end{gathered}`

Answer: the amount of moles used is 0.17 moles.