Question #f9aed

1 Answer
Apr 17, 2017

Answer:

The final pressure #(P_2)# is #"475 torr"#.

Explanation:

This is an example of Gay-Lussac's law , which states that the pressure of a given amount of a gas is directly proportional to its temperature in Kelvins, if held at constant volume. This means that if the pressure increases, so does the temperature, and vice-versa. The equation to use is:

#P_1/T_1=P_2/T_2#

where #P# is pressure, and #T# is temperature in Kelvins.

The Celsius temperatures must be converted to Kelvins by adding #273.15#.

Organize the information

Given
#P_1="435 torr"#
#T_1=23^@"C"+273.15="296 K"#
#T_2=50^@"C"+273.15="323 K"#

Unknown: #P_2#

Solution
Rearrange the equation to isolate #P_2#. Substitute the given values into the equation and solve.

#P_2=(P_1T_2)/T_1#

#P_2=(435color(white)(.)"torr"xx323color(red)cancel(color(black)("K")))/(296color(red)cancel(color(black)("K")))="475 torr"# (rounded to three significant figures)