根据题意,甲中有:
c1m1*(t1-△t1)=c2m2(t2+△t1)--------------1
m1=p1V------------------------------------------2
m2=p2V------------------------------------------3
乙中有:
c1m*(t1-△t2)=c2m(t2+△t2)------------------4
联立式子1、2、3可求解得:
△t1=(c1p1t1-c2p2t2)/(c1p1+c2p2)---------5
求解式子4得:
△t2=(c1t1-c2t2)/(c1+c2)----------------------6
式子5减去式子6,化简得:
△t1-△t2=(t1+t2)*[c1c2p1-c1c2p2)/(c1c1p1+c1c2p1+c1c2p2+c2c2p2)]
由于c1、c2、p1、p2均大于0,因此
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