One litre-atmosphere is approximately equal to-

Options

A. 19.2 J
B. 101 J
C. 8.31 J
D. 831 J

Answer

To solve the question "One litre-atmosphere is approximately equal to how many joules?", we can follow these steps:

### Step 1: Understand the relationship between litre-atmosphere and joules
1 litre-atmosphere (L·atm) is a unit of energy, and we need to convert it to joules (J).

### Step 2: Use the ideal gas constant (R)
The ideal gas constant (R) has different values depending on the units used. For our conversion, we will use:
- R = 0.08206 L·atm/(K·mol) for litre-atmosphere
- R = 8.314 J/(K·mol) for joules

### Step 3: Set up the conversion
To convert 1 L·atm to joules, we can use the relationship involving R. We can set up the conversion as follows:

\[ 1 \text{ L·atm} = \left( \frac{8.314 \text{ J}}{0.08206 \text{ L·atm}} \right) \]

### Step 4: Calculate the conversion factor
Now, we will calculate the value:

\[ \text{Value in joules} = \frac{8.314 \text{ J}}{0.08206 \text{ L·atm}} \approx 101.325 \text{ J} \]

### Conclusion
Thus, 1 litre-atmosphere is approximately equal to **101.325 joules**.

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