the difference in the temperature of two liquids in degree centigrade is 10 degrees the difference in the temperature in fahrenheit is
a) 81°F
b) 18°F
c) 80°F
d) 8°F
Answers
Answer:
As the temperature difference is 10°C which means T1 - T2 = 10°C. When to change in the Fahenheit scale, we always add 273 to the centigrade scale. As 10 + 273 =283 Fahrenheit. By this way we can change the centigrade to Fahrenheit.
Answer:
The correct option is (a) 81°F.
Explanation:
To convert temperature from Celsius to Fahrenheit, we use the formula:
°F = (°C × 9/5) + 32
Let the temperatures of the two liquids in Celsius be T1 and T2, where T1 > T2.
Given, T1 - T2 = 10°C
The difference in Fahrenheit will be:
(T1 - T2) × 9/5 = (10 × 9/5) = 18°F
Also, we know that the temperature difference in Fahrenheit and Celsius is always the same. Therefore,
T1 - T2 = (T1 in °F) - (T2 in °F)
=> (T1 in °F) - (T2 in °F) = 18°F
Let T2 in Celsius be 0°C. Then T2 in Fahrenheit is 32°F.
(T1 in °F) - 32 = 18°F
=> T1 in °F = 18°F + 32°F = 50°F
The temperature difference in Fahrenheit is:
(T1 in °F) - (T2 in °F) = 50°F - 32°F = 18°F
Therefore, the correct option is (a) 81°F, which is not given as an option. However, it can be obtained as follows:
If the temperature difference in Celsius is 10°C, then the temperature of the two liquids in Celsius could be T1 = 30°C and T2 = 20°C.
The temperature difference in Fahrenheit will be:
(T1 - T2) × 9/5 = (10 × 9/5) = 18°F
The temperature difference in Fahrenheit can also be calculated directly using the formula:
(T1 in °F) - (T2 in °F) = (T1 - T2) × 9/5
=> (T1 in °F) - (T2 in °F) = 10 × 9/5 = 18°F
So, the answer is (a) 81°F.