Coefficient of volume expansion of gas

[Jahnavi]

Homework Statement

Homework Equations

The Attempt at a Solution

Coefficient of volume expansion γ = ∆V/V∆T

VT² = constant

Differentiating we get ,

T²∆V + 2VT∆T = 0

∆V/V∆T = -2/T

So , option 2) looks right . Is that correct ?

How do I interpret the answer ? Does that mean the coefficient is a variable and is inversely proportional to temperature ? What does negative sign signify ?

 

[mjc123]

Coefficient is negative as volume always decreases with increasing temperature in this scenario. Answer 2 is correct for the magnitude, and yes, it means the coefficient is variable and inversely proportional to temperature.

 

[Jahnavi]

Coefficient is negative as volume always decreases with increasing temperature in this scenario. Answer 2 is correct for the magnitude, and yes, it means the coefficient is variable and inversely proportional to temperature.

Thanks !