Question

what is the pressure of a 3.4 mol sample of gas at 45 celsius if it takes up 3.5 L of space

Answer 1

Use the ideal gas law.

$PV=\text{nRT}$

Where V = 3.5 L, n = 3.4 mol, T = 45 Celsius, and R = 8.31 J/mol*K. But, first, we need to transform the temperature into Kelvin.

$T=45+273.15=318.25K$

Then, find P.

$\begin{gathered} P=\frac{\text{nRT}}{V}=\frac{3.4\text{mol}\cdot8.31\cdot\frac{J}{\text{mol}\cdot K}\cdot318.25K}{3.5L} \\ P=2,569.1atm \end{gathered}$