When 100 ~g of a liquid A at 100^ C is added to 50 ~g of a liquid B at temperature 75^ C , the temperature of the mixture becomes 90^ C . The temperature of the mixture, if 100 ~g of liquid A at 100^ C is added to 50 ~g of liquid B at 50^ C , will be:

Step-by-step solution

Heat loss = Heat gain = mS So , m _ A S _ A _ A = m _ B S _ B _ B array l 100 S _ A (100-90)=50 S _ B (90-75) 2 ~S _ A =1.5 ~S _ B S _ A = 3 4 ~S _ B array Now, 100 S _ A (100- )=50 S _ B ( -50)2 ( 3 4 ) (100- )=( -50) array l 300-3 =2 -100 400=5 =80^ C array