Question

A 8.5 L sample is collected at 45 C what will the volume be if the temperature is raised to 70

Answer 1

For reference, the ideal gas law is $PV=nRT$.

$\frac{P_0V_0}{PV} =\frac{n_0RT_0}{nRT}$

(Variables with a subscript of 0 are the values at 45°C and variables without a subscript are the values at 70°C.)

Assuming constant pressure:

$V=\frac{V_0T_0}{T} =\frac{(8.5 \text{ L})(45 \text{{\textdegree}C})}{70 \text{{\textdegree}C}} =5.464 \text{ L}$

The number with the least significant figures is 70 (1 s.f.), so with correct significant figures, the volume would be 5 L.