Indigenous people sometimes cook in watertight baskets by placing

hot rocks into water to bring it to a boil. What mass of 500ºC rock must
be placed in 4.00 kg of 15.0ºC water to bring its temperature to 100ºC
, if 0.0250 kg of water escapes as vapor from the initial sizzle? You may
neglect the effects of the surroundings and take the average specific heat
of the rocks to be that of granite.

4.38kg

how many gram of ice at 0 c can be melted by the heat released when one gram of steam condense to water at 100 c

To solve this problem, we need to use the concept of heat transfer and the specific heat capacity.

Firstly, we need to calculate the heat required to raise the temperature of water from 15.0ºC to 100ºC. The formula to calculate heat is given by:

Q = mcΔT

Where:
Q = heat (in Joules)
m = mass of the water (in kg)
c = specific heat capacity of water (in J/kg·ºC)
ΔT = change in temperature (in ºC)

The specific heat capacity of water is approximately 4186 J/kg·ºC.

Now, we'll calculate the heat required for the water:

m_water = 4.00 kg (initial mass of water) - 0.0250 kg (mass of water vaporized)
m_water = 3.975 kg

ΔT_water = 100ºC - 15.0ºC
ΔT_water = 85ºC

Q_water = (3.975 kg) * (4186 J/kg·ºC) * (85ºC)
Q_water = 1,437,196.5 J

Next, we need to calculate the heat transferred from the hot rocks to the water. We use the same formula as before:

Q_rock = mcΔT

Here, we want to find the mass of the rock, so we rearrange the formula:

m_rock = Q_rock / (c_rock * ΔT_rock)

The specific heat capacity of granite is approximately 790 J/kg·ºC.

Now, let's calculate the mass of the rock:

Q_rock = Q_water (since the heat gained by the water is lost by the rock)
m_rock = Q_rock / (c_rock * ΔT_rock)

ΔT_rock = 500ºC - 100ºC
ΔT_rock = 400ºC

m_rock = 1,437,196.5 J / (790 J/kg·ºC * 400ºC)
m_rock ≈ 45.73 kg

Therefore, approximately 45.73 kg of 500ºC rock must be placed in 4.00 kg of 15.0ºC water to bring its temperature to 100ºC if 0.0250 kg of water escapes as vapor from the initial sizzle.

Hey look, Bob Pursley told you how to do these heat gained/ heat lost problems. You keep posting basically the same problem over and over. You are supposed to learn how to do them. Try. Post your attempts.