The initial temperature of mixture was -18. When the mixture was taken out from the freezer, its temperature increased by 1.9° every 30 seconds. Calculate the time in minutes taken by the mixture to reach to a temperature 27.6°

To find the time it takes for the mixture to reach a temperature of \(27.6^\circ C\) from \(-18^\circ C\), we can follow these steps:

1. **Determine the total temperature increase required:**
   \[
   \text{Total temperature increase} = 27.6^\circ C - (-18^\circ C) = 27.6^\circ C + 18^\circ C = 45.6^\circ C
   \]

2. **Calculate the time required to achieve this temperature increase:**

   Since the temperature increases by \(1.9^\circ C\) every 30 seconds:
   \[
   \text{Number of 30-second intervals} = \frac{45.6^\circ C}{1.9^\circ C} = 24
   \]

3. **Convert the time from 30-second intervals to minutes:**
   \[
   \text{Total time in seconds} = 24 \times 30 = 720 \text{ seconds}
   \]
   \[
   \text{Total time in minutes} = \frac{720 \text{ seconds}}{60} = 12 \text{ minutes}
   \]

So, the mixture will take **12 minutes** to reach a temperature of \(27.6^\circ C\).

Would you like further details on any of these steps, or do you have any other questions?

Here are 8 related questions you might find interesting:

1. How would the time change if the rate of temperature increase was different?
2. What would be the final temperature if the mixture was left out for 20 minutes?
3. How long would it take to reach a temperature of \(0^\circ C\)?
4. If the temperature increased by \(2.5^\circ C\) every 30 seconds, how much time would it take to reach \(27.6^\circ C\)?
5. What is the equation representing the temperature as a function of time?
6. How does the initial temperature affect the time required to reach a specific temperature?
7. What would be the time required if the temperature increased by \(1.5^\circ C\) every 30 seconds?
8. How would the time change if the temperature increase happened every 20 seconds instead of 30?

**Tip:** Always double-check your calculations when working with units to ensure consistency.

Learn how to calculate the time taken by a mixture to reach a specific temperature given initial and final temperatures, and a constant rate of temperature increase. This problem involves determining time based on temperature change and rate of increase. Suitable for high school students studying temperature change calculations.

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