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there are 3 liquids a,b,c of equal masses, they are at temprature 10,15,25centigrade when liquid a and b are mixed ther common temprature is 12centigrade and b and c are mixed then it is 21centigrade. what will be the common temprature of a and c.
Dear saurabh
let c1 ,c2,c3 are the heat capacity of liquid a,b,c
when a and b are mixed.
mc1*10 + mc2*15 =mc1* 12 + mc2*12
3c2 = 2c1.............1
when b and c are mixed.
mc2*15 + mc3*25 =mc2* 21 + mc3*21
2c3 = 3c2.............2
from equation 1 and 2
c1=c3
now liquid a and c are mixed let the final temperature is T
mc1*10 + mc3*25 = mc1*T + mc3*T
T = 17.5
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