Question

Temperature of 25 ºC in Fahrenheit and Kelvin scale respectively are

• A. 77 ºF and 298.15 K
• B. 17 ºF and 298.15 K
• C. 45 ºF and 260.15 K
• D. 47 ºF and 312.15 K

Answer 1

The Correct Option is A

The given temperature is 25°C. We need to convert this to both the Fahrenheit and Kelvin scales.

Explanation: 

To convert from Celsius to Fahrenheit, use the formula:

\[ \text{Fahrenheit (°F)} = \left(\frac{9}{5} \times \text{Celsius (°C)}\right) + 32 \] Substituting the given temperature of 25°C: \[ \text{Fahrenheit} = \left(\frac{9}{5} \times 25\right) + 32 = 45 + 32 = 77^\circ\text{F} \]

To convert from Celsius to Kelvin, use the formula:

\[ \text{Kelvin (K)} = \text{Celsius (°C)} + 273.15 \] Substituting the given temperature of 25°C: \[ \text{Kelvin} = 25 + 273.15 = 298.15\text{K} \]

Conclusion:

The temperature of 25°C is equivalent to 77°F and 298.15K.

Answer: Option C: 77°F and 298.15K

Answer 2

To convert Celsius to Fahrenheit, use the formula: \[ F = \frac{9}{5} \times C + 32 \] Substitute \( C = 25^\circ \text{C} \): \[ F = \frac{9}{5} \times 25 + 32 = 45 + 32 = 77^\circ \text{F} \] To convert Celsius to Kelvin, use the formula: \[ K = C + 273.15 \] Substitute \( C = 25^\circ \text{C} \): \[ K = 25 + 273.15 = 298.15 \, \text{K} \] Thus, the temperature of 25°C in Fahrenheit and Kelvin is 77°F and 298.15 K, respectively.