Randall D. Knight — Work, Heat, and the First Law of Thermodynamics: Problem 52

An ideal-gas process is described by \( p = cV^{1/2} \), where \( c \) is a constant. a. Find an expression for the work done on the gas in this process as the volume changes from \( V_1 \) to \( V_2 \). b. 0.033 mol of gas at an initial temperature of \( 150^{\circ}\text{C} \) is compressed, using this process, from \( 300\text{ cm}^3 \) to \( 200\text{ cm}^3 \). How much work is done on the gas? c. What is the final temperature of the gas in \( ^{\circ}\text{C} \)?