Question

At 0°C and 760 mm Hg pressure, a gas occupies a volume of 10Q cm³. The Kelvin temperature (Absolute temperature) of the gas is increased by one-fifth while the pressure is increased one and a half times. Calculate the final volume of the gas. [80 cc.]

Answer 1

Initial conditions

P₁ = 760

V₁ = 100

T₁ = 0 + 273 = 273 K

Final conditions

P₂ = `760 x 3/2 = (380 xx 3)`

V₂ = ?

T2 = `273 xx 1/5 + 273`

`= 273 xx 6/5`

Using gas equation `("P"_1"V"_1)/"T"_1 = ("P"_2"V"_2)/"T"_2`

∴ V₂ = `("P"_1"V"_1"T"_2)/("T"_1"P"_2)`

`"V"_2 = (760xx100)/(273xx380xx3) xx (273 xx 6)/5` = 80 c.c