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Q53 (CISF/2023) Science & Technology › Basic Science (Physics, Chemistry, Biology)

The temperature of a body decreases from 240 K to 210 K. The corresponding change (without sign) in the temperature in degree Fahrenheit is close to :

Explanation

To find the change in temperature in degrees Fahrenheit, we first determine the change in the Kelvin scale and then convert that difference.

1. The change in temperature in Kelvin (ΔK) is:
ΔK = 240 K - 210 K = 30 K.

2. Since the size of one degree Celsius is exactly equal to the size of one Kelvin, the change in Celsius (ΔC) is also 30 °C.

3. The relationship between a change in Celsius and a change in Fahrenheit (ΔF) is given by the formula:
ΔF = (9/5) × ΔC

4. Substituting the value:
ΔF = (9/5) × 30
ΔF = 9 × 6 = 54

Therefore, a decrease of 30 K corresponds to a decrease of 54º F. The magnitude of the change is 54º F.

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