A chemical reaction is run in which 295 Joules of work is done on the system and the internal energy changes by + 1030 Joules. Calculate q for the system. q= Joules

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### Thermodynamics Problem: Calculating Heat Exchange (q)

**Problem Statement:**
A chemical reaction is run in which 295 Joules of work is done on the system and the internal energy changes by +1030 Joules.

**Task:**
Calculate \( q \) for the system.

\[ q = \_\_\_\_\_\_\_\_ \text{ Joules} \]

### Explanation:

To solve this problem, use the first law of thermodynamics, which is given by:

\[ \Delta U = q + w \]

Where:
- \( \Delta U \) is the change in internal energy of the system.
- \( q \) is the heat exchange in the system.
- \( w \) is the work done on or by the system.

From the problem statement:
- \( \Delta U = +1030 \) Joules
- \( w = +295 \) Joules (since work is done *on* the system, it's positive according to the sign convention).

Rearranging the equation to solve for \( q \):

\[ q = \Delta U - w \]

Substitute the given values into the equation:

\[ q = 1030 \text{ J} - 295 \text{ J} \]

Simplifying this:

\[ q = 735 \text{ J} \]

Therefore:

\[ q = 735 \text{ Joules} \]

You can input this value into the blank provided in the original problem statement.
Transcribed Image Text:### Thermodynamics Problem: Calculating Heat Exchange (q) **Problem Statement:** A chemical reaction is run in which 295 Joules of work is done on the system and the internal energy changes by +1030 Joules. **Task:** Calculate \( q \) for the system. \[ q = \_\_\_\_\_\_\_\_ \text{ Joules} \] ### Explanation: To solve this problem, use the first law of thermodynamics, which is given by: \[ \Delta U = q + w \] Where: - \( \Delta U \) is the change in internal energy of the system. - \( q \) is the heat exchange in the system. - \( w \) is the work done on or by the system. From the problem statement: - \( \Delta U = +1030 \) Joules - \( w = +295 \) Joules (since work is done *on* the system, it's positive according to the sign convention). Rearranging the equation to solve for \( q \): \[ q = \Delta U - w \] Substitute the given values into the equation: \[ q = 1030 \text{ J} - 295 \text{ J} \] Simplifying this: \[ q = 735 \text{ J} \] Therefore: \[ q = 735 \text{ Joules} \] You can input this value into the blank provided in the original problem statement.
**Question:**

A sample of solid iron is heated with an electrical coil. If 77.7 Joules of energy are added to an 11.9 gram sample and the final temperature is 38.3°C, what is the initial temperature of the iron?

**Answer:**
\( \_\_\_\_\_\_\_\) °C
Transcribed Image Text:**Question:** A sample of solid iron is heated with an electrical coil. If 77.7 Joules of energy are added to an 11.9 gram sample and the final temperature is 38.3°C, what is the initial temperature of the iron? **Answer:** \( \_\_\_\_\_\_\_\) °C
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