A gas at standard temperature (0°C) has a volume of 30.50 Liters and a pressure of 931 torr.What is the volume at standard pressure ?

1 Answer
Meave60
Jul 17, 2018

The final volume will be #"37.9 L"#.

Explanation:

Standard temperature for gas laws is #"273.15 K"#, and standard pressure is #"100 kPa"#.

Since the temperature remains constant, we can drop it as a variable. We would then have two variables, volume and pressure. Boyle's law describes the relationship between volume and pressure of a gas, which states that the pressure and volume of a gas are inversely proportional. This means that if the pressure increases, the volume decreases, and vice versa. The formula for Boyle's law is:

#P_1V_1=P_2V_2#

Known

#P_1=931color(red)cancel(color(black)("torr"))xx("1 kPa")/(7.500638color(red)cancel(color(black)("torr")))="124.12 kPa"#
#V_1="30.50 L"#

#P_2="100 kPa"#

Unknown

#V_2#

Solution

Rearrange the equation to isolate #V_2#, plug in the known values and solve.

#V_2=(P_1V_1)/(P_2)#

#V_2=(124.12color(red)cancel(color(black)("kPa"))xx30.50"L")/(100color(red)cancel(color(black)("kPa")))="37.9 L"# (rounded to three significant figures)

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