Question #f0c8e

1 Answer
Dec 3, 2014

You will need to use the combined gas law in order to answer this question. The combined gas law is represented by the following equation: "P"_1"V"_1"/T"_1" = "P"_2"V"_2"/T"_2". "STP" is "273K" and "760.0 mmHg".

Given/Known :
"P"_1 = "760.0 mmHg"
"V"_1 = "125 mL"
"T"_1 = "273K"
"P"_2 = "275 mmHg"
"V"_2 = "425 mL"

Unknown:
"T"_2"

Equation:
"P"_1"V"_1"/T"_1" = "P"_2"V"_2"/T"_2"

Solution: Rearrange the equation to isolate "T"_2 on one side. Then solve for "T"_2.

"T"_2 = "P"_2"V"_2"T"_1"/P"_1"V"_1
"T"_2 = "(275 mmHg)(425 mL)(273K)/(760.0 mmHg)(125 mL)"
"T"_2 = "336K"

Convert "T"_2 from Kelvins to degrees Celsius .
"336K - 273 = 63"^o"C"