# An object with a mass of #24 kg#, temperature of #270 ^oC#, and a specific heat of #8 J/(kg*K)# is dropped into a container with #48 L # of water at #0^oC #. Does the water evaporate? If not, by how much does the water's temperature change?

The water does not evaporate and the change in temperature is

The heat is transferred from the hot object to the cold water.

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The water does not evaporate. The temperature of the water increases by approximately 0.0094 degrees Celsius.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- Some very hot rocks have a temperature of #640 ^o C# and a specific heat of #180 J/(Kg*K)#. The rocks are bathed in #12 L# of boiling water. If the heat of the rocks completely vaporizes the water, what is the minimum combined mass of the rocks?
- An object with a mass of #4 kg#, temperature of #105 ^oC#, and a specific heat of #32 J/(kg*K)# is dropped into a container with #16 L # of water at #0^oC #. Does the water evaporate? If not, by how much does the water's temperature change?
- A thermopane window consists of 2 glass panes,each 0.5cm thick,with 1cm thick sealed layer of air in between. Inside 23°C outside 0°C. Determine the rate of energy transfer through 1m² of the window?
- Some very hot rocks have a temperature of #390 ^o C# and a specific heat of #180 J/(Kg*K)#. The rocks are bathed in #9 L# of boiling water. If the heat of the rocks completely vaporizes the water, what is the minimum combined mass of the rocks?
- An object with a mass of #90 g# is dropped into #750 mL# of water at #0^@C#. If the object cools by #30 ^@C# and the water warms by #4 ^@C#, what is the specific heat of the material that the object is made of?

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