Question

A gas has a volume of 543 ml. at a temperature of 75.0°C. What volume will the gas occupy at 20.2°C?

Answer 1

V₂ = 457.49 mL

Step-by-step explanation:

Given that,

Initial volume,
`V_1=543\ mL`

Initial temperature,
`T_1=75^(\circ) C=75+273=348\ K`

Final temperature,
`T_2=20.2^(\circ) C=20.2+273=293.2\ K`

We need to find the final volume of the gas. The relation between the volume and the temperature of the gas is given by :

`(V_1)/(T_1)=(V_2)/(T_2)`

Put the respected values,

`V_2=(V_1T_2)/(T_1)\\\\V_2=(543* 293.2)/(348)\\\\V_2=457.49\ mL`

So, the final volume of the gas is equal to 457.49 mL.