Question

300 J of heat energy are transferred to 20 g of mercury. How much heat is needed to raise the temperature of 20 g of water by the same amount? The specific heat of water is 4190 J/kg⋅K .

Answer 1

To raise the temperature of 20 g of water by the same amount as the mercury, approximately 8974 J of heat is needed.

Step-by-step explanation:

To find the amount of heat needed to raise the temperature of 20 g of water, we can use the formula:

Q = m * c * ΔT,

where Q is the heat energy, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature.

Given that 300 J of heat energy is transferred to 20 g of mercury, we can first calculate the change in temperature of the mercury using the formula:

1. Q = m * c * ΔT
2. ΔT = Q / (m * c)
3. ΔT = 300 J / (20 g * 140 J/kg⋅K)
4. ΔT = 0.107 K

Now, we can use the same formula to find the amount of heat needed to raise the temperature of 20 g of water:

1. Q = m * c * ΔT
2. Q = 20 g * 4190 J/kg⋅K * 0.107 K

The amount of heat needed is approximately 8974 J.