Question

A quantity of gas has a volume of 0.20 cubic meter and an absolute temperature of 333 degrees kelvin. When the temperature of the gas is raised to 533 degrees kelvin, what is the new volume of the gas? (Assume that there's no change in pressure.) A. 0.0006 m^3 B. 0.2333 m^3 C. 0.3198m^3 D. 0.2146 m^3

Answer 1

Option C is the correct answer.

Step-by-step explanation:

By Charles's law we have

V ∝ T

That is

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

Here given that

V₁ = 0.20 cubic meter

T₁ = 333 K

T₂ = 533 K

Substituting

`(V_1)/(T_1)=(V_2)/(T_2)\\\\(0.20)/(333)=(V_2)/(533)\\\\V_2=(0.20)/(333)* 533=0.3198m^3`

New volume of the gas = 0.3198 m³

Option C is the correct answer.