Celsius and Fahrenheit Scale Relationship:
The relationship between temperature variations on the Celsius scale (\( \Delta C \)) and the Fahrenheit scale (\( \Delta F \)) is defined by:
\[ \Delta F = \Delta C \times 1.8 \]
Fahrenheit Change Calculation:
With a given \( \Delta C = 40^\circ C \),
\( \Delta F \) can be determined as:
\[ \Delta F = 40 \times 1.8 = 72^\circ F \]
Summary:
A \( 40^\circ C \) temperature increase corresponds to a \( 72^\circ F \) increase on the Fahrenheit scale.
A real gas within a closed chamber at \( 27^\circ \text{C} \) undergoes the cyclic process as shown in the figure. The gas obeys the equation \( PV^3 = RT \) for the path A to B. The net work done in the complete cycle is (assuming \( R = 8 \, \text{J/molK} \)):
