Finding q to then raise an object, hoping someone can check this work

[speny83]

I think I've got this but not 100% sure.

if a horse can heat 11.6kg ice water T=273k to 355K in 2.5 hours how high could it raise a 217kg weight in 2.5 min?

heres what I've done

q_p=mc_p,sdt=(1.16E4 g)(4.18 J K^-1g_-1)(82K)=3.976E6 J

(3.976E6 J/2.5hr)(1hr/60min)(2.5min)=6.627E4 J

h=w/mg=6.627E4 J/((217 kg)(9.81m s^-2))=31.1m

does this seem legit? we working with all this rev/irr-rev work and transfer and I am getting really mixed up by simple stuff but if p=const then it would be irreversible right?


any suggestions would be great if I am way off track

Thnaks

 

[Borek]

Looks OK to me (I haven't checked the numbers, just skimmed the logic), but your comment about reversibility/irreversibility makes me wonder if there is not some context to the question which makes it more complicated. But if treated literally as posted - its OK.