Question

8.98 dm3 of hydrogen gas

is collected at 38.8 °C. Find
the volume the gas will occupy
at -39.9 °C if the pressure
remains constant.

Answer 1

6.71dm³

Step-by-step explanation:

Given parameters:

Initial Volume of hydrogen gas = 8.98dm³

Initial Temperature = 38.8°C; in Kelvin = 38.8 + 273 = 311.8K

Final temperature = -39.9°C; in Kelvin = -39.9 + 273 = 233.1K

Unknown:

Final volume = ?

Solution:

To solve this problem, we apply the Charles's law. It states at;

"The volume of a fixed mass (mole) of a gas varies directly as its absolute temperature if the pressure is constant".

Mathematically;

`(V_(1) )/(T_(1) )` =
`(V_(2) )/(T_(2) )`

V and T are temperature values

1 and 2 are the initial and final states

Insert the parameters and solve for V₂

`(8.98)/(311.8 )` =
`(V_(2) )/(233.1)`

V₂ x 311.8 = 8.98 x 233.1

V₂ = 6.71dm³