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1. ### Change in entropy when mixing cold and hot water

So then i have: $$\Delta S = \int_{T_0}^{T_1} \frac{cm}{T}dT = cm(ln(T_1)-ln(T_0))$$ now when i compute ##\Delta S## for cold and hot $$\Delta S_{\text{total}} = cm(ln(T_n)-ln(T_H)+ln(T_c)-ln(T_n)) = cm(ln(T_c)-ln(T_h))$$ Where ## T_n ## is temperature at balanced state. Now ##\Delta...
2. ### Change in entropy when mixing cold and hot water

## \int \frac{dQ}{T} = \int \frac{mc}{T}dT ## ?
3. ### Change in entropy when mixing cold and hot water

## dQ = mcdT ## ?
4. ### Change in entropy when mixing cold and hot water

Well $$T = \frac{dQ}{dS} \implies dT = d(\frac{dQ}{dS})$$ Not quite sure how I would do this? (this one probably not even in right direction)
5. ### Change in entropy when mixing cold and hot water

$$S = \int \frac{1}{T}dQ$$ but what from now? this equation has ## \Delta T ## but not T $$Q = cm \Delta T$$ I think I want ## T(Q) ## so I can integrate this properly?

18. ### How much work is done when a satellite is launched into orbit?

Yes you would need the velocity too in order to stay in orbit.
19. ### How much work is done when a satellite is launched into orbit?

Homework Statement A Satellite is brought up into a geostationary orbit (altitude 35800km measured from the surface of the earth). Satellite weights 1000.0kg. How much work is required to bring satellite from a surface of the Earth to geostationary orbit? Homework Equations Newton's law of...