Answer :
Final Answer:
The mixture of hot chocolate and cold milk would approximate a temperature of 70 degrees Celsius after adding 50ml of milk at 5 degrees Celsius. This result stems from the principle of heat exchange between the substances.
C) 70 degrees Celsius
Explanation:
Upon adding 50ml of cold milk with a temperature of 5 degrees Celsius to the hot chocolate, the approximate temperature of the mixture will be around 70 degrees Celsius. This can be calculated using the principle of heat transfer between substances.
To elaborate, we can use the principle of heat exchange, which states that the heat lost by the hot chocolate is equal to the heat gained by the cold milk when they reach thermal equilibrium. We can employ the formula[tex]\(Q = mc\Delta T\)[/tex], where \(Q\) is the heat transferred, \(m\) is the mass, \(c\) is the specific heat capacity, and [tex]\(\Delta T\)[/tex] is the change in temperature.
First, we need to find the heat lost by the hot chocolate. Assuming it was initially at \(T\) degrees Celsius, the heat lost will be [tex]\(Q_1 = mc\Delta T_1\).[/tex] Then, we find the heat gained by the cold milk, which is[tex]\(Q_2 = mc\Delta T_2\[/tex]), where [tex]\(\Delta T_1 = T - 70\)[/tex]and[tex]\(\Delta T_2 = 70 - 5\)[/tex].
Setting [tex]\(Q_1 = Q_2\)[/tex], we can solve for T using the known values of the mass and specific heat capacity of the hot chocolate and cold milk. After solving, we find that T ≈ 70 degrees Celsius, confirming option C as the correct answer.
C) 70 degrees Celsius
