# Some very hot rocks have a temperature of #420 ^o C# and a specific heat of #250 J/(Kg*K)#. The rocks are bathed in #35 L# of boiling water. If the heat of the rocks completely vaporizes the water, what is the minimum combined mass of the rocks?

The mass of the rocks is

The heat transferred from the hot rocks to the water, is equal to the heat used to evaporate the water.

Heat of vaporisation of water

The specific heat of the rocks is

The mass of the rocks is

By signing up, you agree to our Terms of Service and Privacy Policy

The heat required to vaporize the water can be calculated using the formula: ( Q = m \cdot c \cdot \Delta T ), where ( Q ) is the heat, ( m ) is the mass, ( c ) is the specific heat, and ( \Delta T ) is the change in temperature. Given that the water is boiling at 100°C and starting at room temperature, the change in temperature is ( \Delta T = 100 )°C. Substituting the given values, we can solve for the mass of the water. Then, knowing that the heat absorbed by the water equals the heat released by the rocks, we can calculate the combined mass of the rocks and water.

By signing up, you agree to our Terms of Service and Privacy Policy

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.

- An object with a mass of #12 kg#, temperature of #145 ^oC#, and a specific heat of #23 J/(kg*K)# is dropped into a container with #35 L # of water at #0^oC #. Does the water evaporate? If not, by how much does the water's temperature change?
- Some very hot rocks have a temperature of #480 ^o C# and a specific heat of #210 J/(Kg*K)#. The rocks are bathed in #18 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 #1 kg#, temperature of #170 ^oC#, and a specific heat of #32 J/(kg*K)# is dropped into a container with #8 L # of water at #0^oC #. Does the water evaporate? If not, by how much does the water's temperature change?
- Some very hot rocks have a temperature of #630 ^o C# and a specific heat of #270 J/(Kg*K)#. The rocks are bathed in #45 L# of boiling water. If the heat of the rocks completely vaporizes the water, what is the minimum combined mass of the rocks?
- Find the heat required for 5-kg water to be heated from 30 Celsius degree to 50 Celsius degree. Can you express the temperature of 50 Celsius degree in Fahrenheit scale?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7