Respuesta :
Step 1 - Understanding how mole relates to temperature, pressure and volume
These variables are related according to the ideal gas equation:
[tex]pV=nRT[/tex]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:
[tex]\begin{gathered} p=2.5atm \\ T=25°C\text{ \lparen298 K\rparen} \\ V=1.67L \\ n=? \end{gathered}[/tex]Setting the values in the equation:
[tex]2.5\times1.67=nR\times298[/tex]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:
[tex]\begin{gathered} 2.5\times1.67=n\times0.082\times300 \\ \\ n=\frac{4.17}{24.6}=0.169\approx0.17 \end{gathered}[/tex]Answer: the amount of moles used is 0.17 moles.
