SAT Physics <- SAT Physics Temperature Conversion Mastery Quiz (Hard)

SAT Physics Temperature Conversion Mastery Quiz (Hard)

SAT Physics Temperature Conversion Mastery Quiz (Hard)

1 / 10

Consider the function \( T(x) = \\frac{9}{5}(x - 273.15) + 32 \) for converting temperatures from kelvins to Fahrenheit. If the temperature in kelvins changes according to the sequence \( z_1 = 280, z_2 = 290, z_3 = 285, z_4 = 295, z_5 = 290 \), and then the entire sequence repeats, what is the net change in degrees Fahrenheit after two complete cycles?

2 / 10

The function \( S(x) = \\frac{5}{9}(x - 32) + 273.15 \) converts temperatures from Fahrenheit to kelvins. If the temperature in Fahrenheit changes according to the sequence \( y_1 = 50, y_2 = 60, y_3 = 55, y_4 = 70 \), what is the total change in kelvins?

3 / 10

If the function \( R(x) = \\frac{9}{5}(x - 273.15) + 32 \) converts temperatures from kelvins to Fahrenheit, and the temperature in kelvins changes according to the sequence \( x_1 = 280, x_2 = 285, x_3 = 283, x_4 = 287 \), what is the total change in degrees Fahrenheit?

4 / 10

Given the function \( Q(x) = \\frac{5}{9}(x - 32) + 273.15 \) that converts temperatures from Fahrenheit to kelvins, if the temperature in Fahrenheit first increases by 27 degrees and then decreases by 15 degrees, what is the net change in kelvins?

5 / 10

The function \( P(x) = \\frac{9}{5}(x - 273.15) + 32 \) converts temperatures from kelvins to Fahrenheit. If the temperature in kelvins increases by 10 K, then decreases by 3 K, what is the net change in degrees Fahrenheit?

6 / 10

Given the function \( V(x) = \\frac{5}{9}(x - 32) + 273.15 \) that converts temperatures from Fahrenheit to kelvins, if the temperature in Fahrenheit increases by 10.80 degrees, what is the increase in kelvins?

7 / 10

Consider the function \( U(x) = \\frac{9}{5}(x - 273.15) + 32 \) for converting kelvins to Fahrenheit. If a temperature in kelvins decreases by 4.50 K, by how many degrees Fahrenheit does the temperature decrease?

8 / 10

The formula \( T(x) = \\frac{5}{9}(x - 273.15) + 32 \) converts temperatures from kelvin to Fahrenheit. If the temperature in kelvin increases by 2.50 K, by how many degrees Fahrenheit does the temperature increase?

9 / 10

Given the function \( H(x) = \\frac{9}{5}(x - 32) + 273.15 \) which converts temperatures from Fahrenheit to Kelvin, if the temperature in Fahrenheit decreases by 18 degrees, what is the decrease in kelvins?

10 / 10

A function \( G(x) = \\frac{5}{9}(x - 32) + 273.15 \) converts a temperature from degrees Fahrenheit to kelvins. If the temperature in Fahrenheit increases by 5.40 degrees, by how many kelvins does the temperature increase?

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About This Quiz

Concept: Temperature Conversion

The core concept tested in these questions is the conversion between different temperature scales, specifically between Fahrenheit and Celsius/Kelvin. The formulas used are:

  • Fahrenheit to Celsius: [latex]C = \\frac{5}{9}(F - 32)[/latex]
  • Celsius to Kelvin: [latex]K = C + 273.15[/latex]
  • Fahrenheit to Kelvin: [latex]K = \\frac{5}{9}(F - 32) + 273.15[/latex]
  • Kelvin to Fahrenheit: [latex]F = \\frac{9}{5}(K - 273.15) + 32[/latex]

These conversions are essential for understanding how temperature changes affect measurements across different scales. Each problem involves calculating the change in temperature after applying these conversions.

Success Tips for Temperature Conversion Questions

  1. Understand the Conversion Formulas: Memorize the formulas for converting between Fahrenheit, Celsius, and Kelvin. Understanding these relationships will help you quickly identify the correct approach for solving problems.
  2. Break Down Multi-Step Problems: For problems involving multiple steps or sequences, break down the problem into smaller parts. Calculate the change in one scale first, then convert to the other scale. This method helps avoid errors and keeps your calculations organized.
  3. Practice Net Changes: Pay special attention to net changes in temperature. When a temperature undergoes multiple changes, calculate the net effect before converting to another scale.
  4. Use Approximations Wisely: In some cases, rounding or approximating intermediate results can simplify calculations without significantly affecting the final answer. However, ensure that approximations do not lead to significant errors in your final result.
  5. Check Units: Always verify that you are using the correct units (degrees Fahrenheit, degrees Celsius, or kelvins) throughout your calculations. Mixing up units can lead to incorrect answers.