# A gas occupies a volume of 0.140 L at 35.0°C and 97.0 kPa. What is the volume of the gas at STP?

Sep 17, 2016

The volume of the gas at STP of 273.15 K and 100 kPa is 0.120 L.

#### Explanation:

STP currently has the values of 273.15 K and 100 kPa.

This is a question involving the combined gas law as shown below.

${V}_{1} = \text{0.140 L}$
${P}_{1} = \text{97.0 kPa}$
${T}_{1} = \text{35.0"^@"C"+273.15=308.15 K}$
${P}_{2} = \text{100 kPa}$
${T}_{2} = \text{273.15 K}$
${V}_{2} = \text{???}$

Rearrange the combined gas law to isolate ${V}_{2}$, plug in the known values, then solve.

${V}_{2} = \frac{{P}_{1} {V}_{1} {T}_{2}}{{T}_{1} {P}_{2}}$

V_2=((97.0cancel"kPa")xx(0.140"L")xx(273.15cancel"K"))/((308.15cancel"K")xx(100cancel"kPa"))="0.120 L"