At standard temperature, a gas has a volume of 374 mL. The temperature is then increased to 135◦C, and the pressure is held constant. What is the new volume?

1 Answer
Meave60
May 11, 2018

The new volume is #"559 mL"#.

Explanation:

This is an example of Charles' law, which states that the volume of a given amount of gas held at constant pressure is directly proportional to the Kelvin temperature. This means that if the volume increases, so does the temperature and vice versa. The equation for this law is:

#V_1/T_1=V_2/T_2#

Known

#V_1="374 mL"#

#T_1="273.15 K"#

#T_2="135"^@"C+273.15"="408 K"#

Unknown

#V_2#

Solution

Rearrange the equation to isolate #V_2#. Plug in the known volume and solve.

#V_2=(V_1T_2)/T_1#

#V_2=(374"mL"xx408color(red)cancel(color(black)("K")))/(273.15color(red)cancel(color(black)("K")))="559 mL"# (rounded to three significant figures)

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