Question
the specific heat for iron is .450 J/g*K . a piece of iron increases from 27.2C to 31.4 C when of energy is added to it. what is the mass of the iron?
a. 343 g
b. .0029 g
c. 286 g
d. 1.65 * 10^-4 g
a. 343 g
b. .0029 g
c. 286 g
d. 1.65 * 10^-4 g
Answers
GPT-4o mini
To find the mass of the 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).
From the problem:
- The specific heat capacity of iron, \( c = 0.450 \, \text{J/g·K} \).
- Initial temperature, \( T_i = 27.2 \, \text{°C} \) and final temperature, \( T_f = 31.4 \, \text{°C} \).
- The change in temperature, \( \Delta T \), is:
\[
\Delta T = T_f - T_i = 31.4 \, \text{°C} - 27.2 \, \text{°C} = 4.2 \, \text{°C}
\]
Now, substituting the values into the formula, we can express it in terms of mass:
\[
q = m \cdot 0.450 \cdot 4.2
\]
\[
q = m \cdot 1.89
\]
Now we notice that there is no specific value for \( q \) provided in the problem. Therefore, without knowing the heat energy \( q \) that was added, we cannot calculate the mass \( m \) of the iron based on the given options.
If we assume different values for \( q \) to check the options, it won’t yield the correct answer without \( q \). If you have the value for \( q \), please provide that, and I'll help you calculate the mass!
\[
q = mc\Delta T
\]
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).
From the problem:
- The specific heat capacity of iron, \( c = 0.450 \, \text{J/g·K} \).
- Initial temperature, \( T_i = 27.2 \, \text{°C} \) and final temperature, \( T_f = 31.4 \, \text{°C} \).
- The change in temperature, \( \Delta T \), is:
\[
\Delta T = T_f - T_i = 31.4 \, \text{°C} - 27.2 \, \text{°C} = 4.2 \, \text{°C}
\]
Now, substituting the values into the formula, we can express it in terms of mass:
\[
q = m \cdot 0.450 \cdot 4.2
\]
\[
q = m \cdot 1.89
\]
Now we notice that there is no specific value for \( q \) provided in the problem. Therefore, without knowing the heat energy \( q \) that was added, we cannot calculate the mass \( m \) of the iron based on the given options.
If we assume different values for \( q \) to check the options, it won’t yield the correct answer without \( q \). If you have the value for \( q \), please provide that, and I'll help you calculate the mass!
sda
the answer is required pls choose from the asnwer choices
a. 343 g
b. .0029 g
c. 286 g
d. 1.65 * 10^-4 g
a. 343 g
b. .0029 g
c. 286 g
d. 1.65 * 10^-4 g