The pressure of a certain mass of ideal gas is increased from 1 atm to 20 atm adiabatically. If y=1.4, (i) by what factor does the volume change and (ii) by what factor does the temperature change?

Explanation

To solve the problem step by step, we will follow the principles of adiabatic processes for an ideal gas.

### Step 1: Understand the Adiabatic Process
In an adiabatic process, the relationship between pressure (P), volume (V), and the adiabatic index (γ) is given by:
\[ P V^\gamma = \text{constant} \]
where \( \gamma \) (gamma) is the ratio of specific heats (C_p/C_v).

### Step 2: Set Up the Equations
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