Question

The specific heat for iron is 0.450 J/g time K. A piece of iton increases from 27.2 degrees C t0 31.4 degrees C when of energy is added to it. What is the mass of the iron?
A. 1.65 x 10^-4 grams
B. 343 grams
C. 0.0029 grams
D. 286 grams

Answer 1

To calculate the mass of iron, we can use the formula for heat transfer:

\[
q = mc\Delta T
\]

where:
- \( q \) is the heat added (in joules),
- \( m \) is the mass (in grams),
- \( c \) is the specific heat capacity (in J/g·K), and
- \( \Delta T \) is the change in temperature (in °C or K).

In this case, we need to find \( m \), the mass of the iron:

1. **Determine the change in temperature (\( \Delta T \))**:
\[
\Delta T = T_{final} - T_{initial} = 31.4\,°C - 27.2\,°C = 4.2\,°C
\]

2. **Using the known values**:
\( c = 0.450\, \text{J/g·K} \) and \( \Delta T = 4.2\, °C \).

However, we are not given the value for \( q \) (the amount of energy added), which means we can't directly calculate the mass without the value of energy. If you have the value of \( q \), you can rearrange the equation and solve for \( m \):

\[
m = \frac{q}{c \Delta T}
\]

Please provide the amount of energy added (in joules) to achieve the temperature change so we can continue the calculation for the mass.