Răspuns :
Din echilibrul caldrurilor :
Q1+Q2+Q3+...+Qn=0
Stim ca : Q=cmΔt
c1m1Δt1+c2m2Δt2+c3m3Δt3+...+cnmnΔtn=0
Deoarece corpurile sunt identice : c1=c2=c3=...=cn, m1=m2=m3=...=mn.
Δt1+Δt2+Δt3+...Δtn=0
Iar deoarece Δt=t-t1:
t-t1+t-t2+t-t3+...+t-t4=0
t*n-t1-t2-t3-...-t4=0
t*n=t1+t2+t3+...+t4
t=(t1+t2+t3+...+t4)/n
Q1+Q2+Q3+...+Qn=0
Stim ca : Q=cmΔt
c1m1Δt1+c2m2Δt2+c3m3Δt3+...+cnmnΔtn=0
Deoarece corpurile sunt identice : c1=c2=c3=...=cn, m1=m2=m3=...=mn.
Δt1+Δt2+Δt3+...Δtn=0
Iar deoarece Δt=t-t1:
t-t1+t-t2+t-t3+...+t-t4=0
t*n-t1-t2-t3-...-t4=0
t*n=t1+t2+t3+...+t4
t=(t1+t2+t3+...+t4)/n