Math Problem Statement

Hitung konversi suhu berikut: a. 27 °C = ........ K b. 140 °F = ........ °C c. 180 °R = ........ °F d. 277 °C = ........ K e. 727 °C = ........ K

Solution

The image you've uploaded appears to contain temperature conversion problems. Let's break down the solutions:

a. Convert 27°C to Kelvin (K):

To convert Celsius (°C) to Kelvin (K), use the formula: K=°C+273.15K = °C + 273.15 So: 27°C=27+273.15=300.15K27°C = 27 + 273.15 = 300.15 K

b. Convert 140°F to Celsius (°C):

To convert Fahrenheit (°F) to Celsius (°C), use the formula: °C=59(°F32)°C = \frac{5}{9} (°F - 32) So: °C=59(14032)=59×108=60°C°C = \frac{5}{9} (140 - 32) = \frac{5}{9} \times 108 = 60°C

c. Convert 180°R to Fahrenheit (°F):

To convert Rankine (°R) to Fahrenheit (°F), use the formula: °F=°R459.67°F = °R - 459.67 So: °F=180459.67=279.67°F°F = 180 - 459.67 = -279.67°F

d. Convert 277°C to Kelvin (K):

Using the same formula as in part (a): K=277+273.15=550.15KK = 277 + 273.15 = 550.15 K

e. Convert 727°C to Kelvin (K):

Again, applying the formula: K=727+273.15=1000.15KK = 727 + 273.15 = 1000.15 K

These are the conversion results.

Would you like further explanations or help with more conversions? Here are some related questions for you:

  1. How do you convert between other temperature units like Rankine and Celsius?
  2. What are the differences between Celsius, Fahrenheit, Kelvin, and Rankine scales?
  3. How would you convert temperatures from Kelvin to Celsius or Fahrenheit?
  4. Can you explain how absolute zero is represented in different temperature scales?
  5. How do you apply temperature conversion formulas in practical scenarios like weather predictions?

Tip: Always remember to double-check whether the temperature scale is absolute (like Kelvin or Rankine) or relative (like Celsius or Fahrenheit), as that will affect your conversion formula.

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Math Problem Analysis

Mathematical Concepts

Temperature Conversion
Celsius to Kelvin
Fahrenheit to Celsius
Rankine to Fahrenheit

Formulas

K = °C + 273.15
°C = (°F - 32) * 5/9
°F = °R - 459.67

Theorems

Temperature Conversion Theorem

Suitable Grade Level

Grades 7-9