Is the answer 26 celsius? Is it possible that the temp is greater than 25 celsius?
A 500 mL bottle of water, which is at 25 degrees C, is poured over 120 g of ice at -8 degrees C. What will be the final temperature of the water when all the ice has melted. Assume that container is insulated and does not change temperature.
what is the reaction to ice in a water beaker when heat is added.
To calculate the final temperature of the water when all the ice has melted, we need to use the principle of conservation of energy and the specific heat capacities of water and ice.
First, let's calculate the heat gained by the ice to reach its melting point (0 degrees Celsius). We can use the formula:
Q = m * c * ΔT,
where Q is the heat gained, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature.
For the ice, the mass is 120 g, the specific heat capacity is 2.09 J/g°C, and the change in temperature is 0 - (-8) = 8°C.
So, the heat gained by the ice is:
Q_ice = 120 g * 2.09 J/g°C * 8°C = 2001.6 J.
This amount of heat will be transferred to the water to reach its final temperature.
Next, let's calculate the heat gained by the water using the same formula:
Q = m * c * ΔT,
where m is the mass, c is the specific heat capacity, and ΔT is the change in temperature.
For the water, the mass is 500 mL, which is equivalent to 500 g (since 1 mL of water has a mass of 1 g), and the specific heat capacity is 4.18 J/g°C.
Assuming the final temperature of the water is T, the change in temperature is T - 25°C, and the heat gained by the water is:
Q_water = 500 g * 4.18 J/g°C * (T - 25)°C.
Since the system is isolated and the heat gained by the ice is equal to the heat gained by the water, we can equate the two expressions:
Q_ice = Q_water,
2001.6 J = 500 g * 4.18 J/g°C * (T - 25)°C.
Simplifying the equation:
2001.6 J = 2090 J * (T - 25)°C.
Dividing both sides of the equation by 2090 J:
0.958 = T - 25.
Adding 25 to both sides of the equation:
T = 25.958°C.
Therefore, the final temperature of the water after all the ice has melted will be approximately 25.96°C.
So, the answer is not exactly 26 degrees Celsius, but it is very close. And yes, it is possible for the final temperature to be greater than 25 degrees Celsius.