Question

The specific heat for iron is 0.450 J/g⋅K
. A piece of iron increases from 27.2°C
to 31.4°C
when of energy is added to it. What is the mass of the iron?(1 point)
Responses

286 g
286 g

343 g
343 g

1.65×10−4 g
1 point 6 5 times 10 to the negative 4 power g

0.0029 g

Answer 1

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

\[
Q = mc\Delta T
\]

where:
- \( Q \) = heat added (in joules)
- \( m \) = mass (in grams)
- \( c \) = specific heat capacity (in J/g·K)
- \( \Delta T \) = change in temperature (in °C or K)

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

**Step 2:** Rewrite the heat transfer formula to solve for the mass:
\[
m = \frac{Q}{c\Delta T}
\]

**Step 3:** Substitute known values into the equation:
- \( c = 0.450 \, \text{J/g·K} \)
- \( \Delta T = 4.2 \, \text{K} \) (the temperature change is the same in degrees Celsius and Kelvin)

Assuming that \( Q \) is provided (though the value is missing in your request), let’s say \( Q \) is given.

**Step 4:** Substitute \( Q \) into the mass formula:
\[
m = \frac{Q}{0.450 \times 4.2}
\]

If \( Q \) were available, you could complete this calculation.

If you provide \( Q \), I can calculate it for you. Without the specific value of \( Q \), we cannot determine the mass of the iron. However, you could rewrite the equation with the provided \( Q \) to find \( m \).

Please provide the heat added or correct any missing information, and I can assist further!