Question

Solve the following problem.

A gas at 900 °C is cooled until both its pressure and volume are halved. Calculate its final temperature.

Answer 1

Given: T₁ = 900 °C = 900 + 273.15 = 1173.15 K

`"V"_2 = "V"_1/2, "P"_2 = "P"_1/2`

To find: Final temperature (T₂)

Formula: `("P"_1"V"_1)/"T"_1 = ("P"_2"V"_2)/"T"_2`

Calculation: From formula,

`("P"_1"V"_1)/1173.15 = ("P"_1"V"_1)/(4"T"_2)`

`therefore "T"_2 = 1173.15/4 = 293.29`K

Final temperature of gas is 293.29 K.