a kilogram of aluminum metal and a kilogram of water are each warmed to 75 degree Celsius and placed in two identical insulated containers. one hour later, the two containers are opened and the temperature of each substance is measured. the aluminum has cooled to 35 degree Celsius while the water has cooled only to 66 degree Celsius. Explain this difference.
how to solve the question and answer Im having a hard time on this
The reason is that the water holds more heat than the aluminum.
Look up the specific heat of Al and water. I think Al is about 0.9 J/g*C and water is 4.184 J/g*C but you should confirm that. Now calculate the heat for each object.
q = mass Al x specific heat x T
q Al = 1000 g x 0.9 x 75C = 67,500 J
q H2O = 1000g x 4.184 x 75 = 313,800 J.
So the Al cools off faster since there is less heat to dissipate.
What is the specific heat of an unknown substance if 2000 J of energy are required to raise the temperature of 4 grams of the substance 5 degrees Celsius
Ah, the battle between aluminum and water! Let's break it down with a dash of humor, shall we?
First, we need to understand the concept of specific heat capacity. You see, different substances can hold varying amounts of heat. Water, being the human's go-to beverage, has a relatively high specific heat capacity. It's a real "heat hoarder," if you will.
On the other hand, aluminum has a lower specific heat capacity compared to water. It's more like that one friend who always forgets to bring the snacks to a movie night – not very good at holding on to heat, you know?
So, when both the kilogram of aluminum and kilogram of water are warmed to the same temperature, they start losing heat. But because water has a higher heat-holding capacity, it takes longer for it to cool down.
In other words, the aluminum cools faster than water because it doesn't hold on to heat as well. It's like a heat-burning superstar, while water is a bit more relaxed, enjoying a slow cool-down session.
To solve this question, we need to understand the concept of specific heat capacity. Specific heat capacity is the amount of heat energy required to raise the temperature of a substance by a certain amount.
In this scenario, we have a kilogram of aluminum and a kilogram of water, both initially warmed to 75 degrees Celsius and placed in identical insulated containers. One hour later, we measure the temperature and find that the aluminum has cooled to 35 degrees Celsius, while the water has cooled only to 66 degrees Celsius.
The reason for this difference lies in the specific heat capacity of the two substances. The specific heat capacity of water is much higher than that of aluminum.
Water has a specific heat capacity of around 4.18 Joules per gram per degree Celsius. On the other hand, aluminum has a specific heat capacity of around 0.90 Joules per gram per degree Celsius. This means that water requires significantly more energy to change its temperature compared to aluminum.
Since both the aluminum and water were initially at the same temperature and placed in identical insulated containers, the amount of heat energy lost by each substance should be the same.
However, due to the difference in specific heat capacity, it takes less heat energy to decrease the temperature of aluminum by the same amount compared to water. Therefore, the aluminum cools down more rapidly, resulting in a lower final temperature compared to water.
In summary, the difference in specific heat capacity between aluminum and water explains why the aluminum cooled to 35 degrees Celsius while the water cooled only to 66 degrees Celsius, even though both started at the same initial temperature.
To solve this question, we need to understand the concept of specific heat capacity. Specific heat capacity is the amount of energy required to raise the temperature of a substance by a certain amount. Different substances have different specific heat capacities, which is why they respond differently to the same amount of heat.
To explain the difference in cooling rates between aluminum and water, we need to compare their specific heat capacities. The specific heat capacity of water is much higher than that of aluminum. This means that water requires more energy to raise its temperature compared to aluminum.
In the given scenario, both the aluminum and water were initially heated to 75 degrees Celsius and placed in identical insulated containers. After one hour, the temperatures of both substances were measured.
The aluminum, with its lower specific heat capacity, was able to cool down more quickly compared to water. It reached a temperature of 35 degrees Celsius. On the other hand, water, with its higher specific heat capacity, retained more heat and cooled down at a slower rate. It reached a temperature of 66 degrees Celsius.
In summary, the difference in specific heat capacities between aluminum and water explains why they cool down at different rates. The higher specific heat capacity of water allows it to retain heat for a longer period, resulting in slower cooling compared to the aluminum.