Question

How many \(\mathrm{L} \cdot\) atm are equal to \(12.2 \mathrm{~kJ}\) of work?

Short answer

Question: Convert 12.2 kJ of work to the equivalent amount in liter-atmospheres (L⋅atm). Answer: 120.40 L⋅atm

Step-by-step solution

Convert kJ to J

To convert the given work from kJ to J, we can simply multiply by 1000: \(12.2 \mathrm{~kJ} \times 1000 = 12200 \mathrm{~J}\)

Apply the conversion factor

Now we can apply the conversion factor to convert J to L⋅atm. Since 1 L⋅atm = 101.325 J, we can divide the given work in J by this value: \(\frac{12200 \mathrm{~J}}{101.325} = 120.401 \mathrm{L⋅atm}\)

Round the result

The final step is to round the result to an appropriate number of decimal places. In this case, we'll round to 2 decimal places, which gives: \(120.40 \mathrm{L⋅atm}\) So, \(12.2 \mathrm{~kJ}\) of work is equal to approximately \(120.40 \mathrm{L\cdot atm}\).