Question

Which of the following equations does NOT represent Charles' law for a given mass of gas at constant pressure?

• A. $\frac{V}{T}=k$
• B. log V = log K + lot T
• C. log k = log V + log T
• D. $\frac{d\left(lnV\right)}{dT}=\frac{1}{T}$

Answer 1

The correct option is C log k = log V + log T

Charle's law can be written as:

So this means:

where:

V is the volume of the gas, T is the temperature of the gas (measured in kelvins), and k is a non-zero constant.
When we take log on both sides, we get log V = log k + log T
On differentiating, we get $\frac{d\left(lnV\right)}{dT}=\frac{1}{T}$