Which of the following is a correct formula for total heat?

A. [tex]Q_T = Q_S - Q_L[/tex]

B. [tex]Q_T = Q_S + Q_L[/tex]

C. [tex]Q_T = Q_S \times Q_L[/tex]

D. [tex]Q_T = Q_S \div Q_L[/tex]



Answer :

To determine the correct formula for total heat, let us analyze each option carefully.

### Understanding the Terms:
- \( Q_T \) represents the total heat.
- \( Q_S \) typically stands for sensible heat.
- \( Q_L \) typically stands for latent heat.

### Explanation for Each Option:
1. Option A: \( Q_T = Q_S - Q_L \)
- This formula suggests that total heat is the difference between sensible heat and latent heat.
- This is typically not how total heat is calculated because sensible heat and latent heat contribute positively to the total heat.

2. Option B: \( Q_T = Q_S + Q_L \)
- This formula suggests that total heat is the sum of sensible heat and latent heat.
- This is generally how total heat is calculated, as both sensible heat and latent heat are forms of energy that add up to give the total heat.

3. Option C: \( Q_T = Q_S \times Q_L \)
- This formula suggests that total heat is the product of sensible heat and latent heat.
- This is not a typical method to calculate total heat since we generally sum different forms of heat rather than multiplying them.

4. Option D: \( Q_T = Q_S \div Q_L \)
- This formula suggests that total heat is the division of sensible heat by latent heat.
- This is also not a usual way to determine total heat, as division doesn't effectively represent the total energy content in this context.

### Conclusion:
Based on the analysis, the correct formula for total heat is:

- Option B: \( Q_T = Q_S + Q_L \)

Hence, the correct answer is B.

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