On mole of argon expands polytropically, the polytropic constant being 1.5, that is, the process proceeds according to the law `pV^(1.5)` = constant. In the process, its temperature change by `Delta T = - 26 K`. Find
a. the amount of heat obtained by the gas.
b. the work performed by the gas.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Understand the Polytropic Process
The process is described by the equation \( pV^{1.5} = \text{constant} \). This indicates that the pressure \( p \) and volume \( V \) of the gas are related during the expansion.

### Step 2: Relate Pressure and Temperature
Using the ideal gas law \( pV = nRT \), we can express pressure in terms of volume and temperature:
\[
...