Question

A gas performs Q work when it expands at constant pressure. During this process heat absorbed by the gas is 4Q. The average number of degrees of freedom for the gas is

• A. 5
• B. 6
• C. 4
• D. 3.5

Answer 1

The correct option is B 6

${\left(△Q\right)}_P=\left(\frac{\gamma }{\gamma -1}\right)\times △W\Rightarrow \frac{\gamma }{\gamma -1}=\frac{4Q}{Q}\Rightarrow \gamma =\frac{4}{3}\gamma =1+\frac{2}{f}wheref=degreeoffreedom.\frac{4}{3}=1+\frac{2}{f}\Rightarrow f=6$