# while studying for this quiz you realize that you still have 100g of lukewarm coffee at 40 degree C left in a paper cup. when you pour 50 g of boiling water into the cup, the temperature of the resulting coffee-like mixture will be now

Question

while studying for this quiz you realize that you still have 100g of lukewarm coffee at 40 degree C left in a paper cup. when you pour 50 g of boiling water into the cup, the temperature of the resulting coffee-like mixture will be now

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Step 1

According to the theory of temperature of mixing, when two substances of different temperatures are mixed, the heat loss by the hot substance is equal to the heat gained by the cold substance. Here, the cold substance is the coffee and the hot substance is the boiling water. Given that the temperature of the 100g coffee is 40degree Celsius, and the amount of water is 50g. Since water is boiling, its temperature would be 100degree Celsius. Apply the condition of temperature of mixing to the system. Assume that the coffee and water have the same specific heat capacity.

Step 2

Solve equation (1) for T.

Step 3

Substitute 100g for mcoffee, and 50g for mwater in equati...

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