How much heat is absorbed and how much work is done in the expansion?2L of an ideal gas at a pressure of 10 atm expansion isothermally into a vacuum until its total volume is 10L.

Explanation

To solve the problem of how much heat is absorbed and how much work is done during the isothermal expansion of an ideal gas into a vacuum, we can follow these steps:

### Step 1: Understand the conditions of the problem
We have an ideal gas that is expanding isothermally (at constant temperature) from an initial volume of 2 liters to a final volume of 10 liters into a vacuum. The initial pressure of the gas is 10 atm.

### Step 2: Analyze the internal energy change
For an ideal gas, the change in internal energy (ΔU) is dependent on the temperature. Since the process is isothermal (constant temperature), the change in internal energy is zero:
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