Question

Question #f9aed

Answer 1

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)