Final answer:
To calculate the energy needed to raise the temperature of 155 g of water from 22.0°C to 95.0°C, we use the specific heat capacity formula and find that it requires approximately 47,155.64 J. The closest given option is 45,925 J.
Step-by-step explanation:
The question concerns the amount of energy required to raise the temperature of water, which is a problem commonly encountered in Chemistry. To calculate this, we use the specific heat formula:
Q = mcΔT,
where Q is the heat energy in joules, m is the mass of the water in grams, c is the specific heat capacity of water (4.184 J/g°C), and ΔT is the change in temperature in °C.
In this case:
- Mass (m) = 155 g
- Specific heat capacity (c) = 4.184 J/g°C
- Change in temperature (ΔT) = 95.0°C - 22.0°C = 73.0°C
Plugging these values into the formula we get:
Q = 155 g * 4.184 J/g°C * 73.0°C = 47,155.64 J
Therefore, the closest answer is option b. 45,925 J, since the actual calculated value is slightly higher.