Solve the following equation for "T" using the values of the other variables listed below. Express your answer as a decimal number with **at least four digits past the decimal.**

q = 3,844.537

m = 170.7

C = 4.97

The equation involving heat transfer can be written as:

\[
q = m \cdot C \cdot \Delta T
\]

where:

- \( q \) is the heat energy,
- \( m \) is the mass,
- \( C \) is the specific heat capacity, and
- \( \Delta T \) is the change in temperature.

We need to solve for \( \Delta T \), which is the change in temperature (denoted as "T" in your case). Rearranging the formula:

\[
\Delta T = \frac{q}{m \cdot C}
\]

Now, plug in the given values:

- \( q = 3,844.537 \, \text{J} \),
- \( m = 170.7 \, \text{kg} \),
- \( C = 4.97 \, \text{J/kg} \cdot ^\circ \text{C} \).

\[
\Delta T = \frac{3,844.537}{170.7 \cdot 4.97}
\]

Let me calculate that for you.The change in temperature (\( \Delta T \)) is approximately \( 4.5316 \) °C, expressed to four decimal places.

Would you like more details on how this result was obtained or have any other questions?

Here are 5 related questions to consider:
1. How does the mass affect the heat transfer in this equation?
2. What happens if the specific heat capacity is doubled?
3. How can this formula be applied to different materials with varying specific heat capacities?
4. What is the significance of the temperature difference in thermal energy calculations?
5. How would the equation change if we were calculating heat loss?

**Tip:** Always ensure that units are consistent when solving thermodynamics problems to avoid calculation errors.

Solve the following equation for 'T' using the values of the other variables listed below. Express your answer as a decimal number with at least four digits past the decimal.

q = 3,844.537
m = 170.7
C = 4.97

Solve the heat transfer equation for temperature using specific heat capacity and mass. Learn how to calculate temperature change ΔT when q = 3,844.537 J, m = 170.7 kg, and C = 4.97 J/kg·°C. This example is suitable for high school students studying thermodynamics.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation