A) \[{{65}^{o}}C\]
B) \[{{70}^{o}}C\]
C) \[{{60}^{o}}C\]
D) \[{{75}^{o}}C\]
Correct Answer: A
Solution :
Let the final temperature of the mixture be t Heat lost by water at \[{{80}^{o}}C\] \[=ms\Delta t\] \[=0.1\times {{10}^{3}}\times {{s}_{water}}\times ({{80}^{o}}-t)\] \[(\because \,\,m=V\times d=0.1\times {{10}^{3}}kg)\] Heat gained by water at \[{{60}^{o}}C\] \[=0.3\times {{10}^{3}}\times {{s}_{water}}\times (t-{{60}^{o}})\] According to principle of calorimetry Heat lost = Heat gained \[\therefore \] \[0.1\times {{10}^{3}}\times {{s}_{water}}\times ({{80}^{o}}-t)\] \[0.3\times {{10}^{3}}\times {{s}_{water}}\times (t-{{60}^{o}})\] or \[({{80}^{o}}-t)=3\times (t-{{60}^{o}})\] or \[4\,t={{260}^{o}}\] or \[t={{65}^{o}}C\]
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