The estimated energy expenditure for a 65 kg person in 24 hours is approximately 3532.5 kcal, considering sleep, moderate labor, light activity, desk work, and running at 15 km/h.
Sure, let's go step by step through the calculations:
1. Sleeping:
![\[ Energy_{\text{sleeping}} = 0.9 \, \text{MET} * 65 \, \text{kg} * 8.0 \, \text{h} \]](https://img.qammunity.org/2024/formulas/physics/high-school/b5yvc2ed9y5mbnpgm56n0kf7ut5mmfavv3.png)
![\[ Energy_{\text{sleeping}} = 0.9 * 65 * 8 \]](https://img.qammunity.org/2024/formulas/physics/high-school/rbf5fszemdilys04vlqk7rx17jvev8i6y6.png)
![\[ Energy_{\text{sleeping}} = 468 \, \text{kcal} \]](https://img.qammunity.org/2024/formulas/physics/high-school/i6xupd1dkfgf64gyslzb4cu8ur4kmgosh1.png)
2. Moderate physical labor:
![\[ Energy_{\text{labor}} = 4.0 \, \text{MET} * 65 \, \text{kg} * 1.0 \, \text{h} \]](https://img.qammunity.org/2024/formulas/physics/high-school/ghz5etcquyigclkry5h1bydy4nq1a19gbt.png)
![\[ Energy_{\text{labor}} = 4.0 * 65 * 1 \]](https://img.qammunity.org/2024/formulas/physics/high-school/4gkq4a6qpi6r6v7jzue4oo8vkx43kwq22m.png)
![\[ Energy_{\text{labor}} = 260 \, \text{kcal} \]](https://img.qammunity.org/2024/formulas/physics/high-school/s6k8oocmh4khf675frjw795ckh0lnihg2w.png)
3. Light activity:
![\[ Energy_{\text{light activity}} = 2.0 \, \text{MET} * 65 \, \text{kg} * 4.0 \, \text{h} \]](https://img.qammunity.org/2024/formulas/physics/high-school/yt2e975mv1endmd34v4dhe891ixqtaprzr.png)
![\[ Energy_{\text{light activity}} = 2.0 * 65 * 4 \]](https://img.qammunity.org/2024/formulas/physics/high-school/84citqxjjtjqpwy3al37loje8c6xwcnykm.png)
![\[ Energy_{\text{light activity}} = 520 \, \text{kcal} \]](https://img.qammunity.org/2024/formulas/physics/high-school/w4i9pz8md0k790jvdwglgsy79p99khmiba.png)
4. Desk work or relaxing:
![\[ Energy_{\text{desk/relax}} = 1.8 \, \text{MET} * 65 \, \text{kg} * 9.5 \, \text{h} \]](https://img.qammunity.org/2024/formulas/physics/high-school/4c2yj80lkkgitp8pi4b1i4mjxtqsex8jqn.png)
![\[ Energy_{\text{desk/relax}} = 1.8 * 65 * 9.5 \]](https://img.qammunity.org/2024/formulas/physics/high-school/qgeme2rcoqc403ri2u3f590cmwk47ste0e.png)
![\[ Energy_{\text{desk/relax}} = 1114.5 \, \text{kcal} \]](https://img.qammunity.org/2024/formulas/physics/high-school/pkftpfwznvfjkd9t01eebc34x484vw4xzj.png)
5. Running:
![\[ Energy_{\text{running}} = 12.0 \, \text{MET} * 65 \, \text{kg} * 1.5 \, \text{h} \]](https://img.qammunity.org/2024/formulas/physics/high-school/jg0tbilmwth3xrfi6pn6wwlaet4k2tgmt9.png)
![\[ Energy_{\text{running}} = 12.0 * 65 * 1.5 \]](https://img.qammunity.org/2024/formulas/physics/high-school/iyldmhl796h03eupkv4w2ut66gh2e3pid6.png)
![\[ Energy_{\text{running}} = 1170 \, \text{kcal} \]](https://img.qammunity.org/2024/formulas/physics/high-school/g0q39cukv7o5gy3gog8geuxuis566hghvm.png)
Now, add up all these energy expenditures to get the total energy expended in 24 hours:
![\[ \text{Total energy expenditure} = 468 + 260 + 520 + 1114.5 + 1170 \]](https://img.qammunity.org/2024/formulas/physics/high-school/eojiljriucbwwoxjmf22kgtgwadf8wukk5.png)
![\[ \text{Total energy expenditure} = 3532.5 \, \text{kcal} \]](https://img.qammunity.org/2024/formulas/physics/high-school/za1odi4o51m68x9mhch9rl2x2gs7lwsu4s.png)
So, a rough estimate of the energy expended in 24 hours by the 65 kg person engaging in the described activities would be approximately 3532.5 kcal.