T(K) means the temperature in the unit Kelvin. T(C) means the temperature in Celsius. If T(K) = T(C) + 273, and the current temp
1 answer:
Hi! the question has some missing portion. The complete question is "T(K) means the temperature in the unit Kelvin. T(C) means the temperature in Celsius. If T(K) = T(C) + 273, and the current temperature is -27 C, what is the current temperature in kelvin?"
Answer: The current temperature is 246 K.
Explanation:
Kelvin is the SI unit of temperature which is symbolized as K. It is often called the absolute temperature. The lowest possible temperature in a Kelvin scale is "0". There exists no temperature beyond "0 K".
The mathematical relation between the temperature in the Kelvin scale to the temperature in the degree Celcius scale is given as:
......................... (1)
The current temperature in the degree Celcius scale is
Substituting the above value into equation-(1), we get:
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According to ideal gas equation, we know for 1 mole of gas: PV=RT
where P = pressure, T = temperature, R = gas constant, V= volume
If '1' and '2' indicates initial and final experimental conditions, we have
Given that: V1 = 100.0 kPa, T1 = 100.0 K, V1 = 2.0 m3, T2 = 400 K, P2 = 200.0 kPa
∴ on rearranging above eq., we get V2 =
∴ V2 = 4 m3
where P = pressure, T = temperature, R = gas constant, V= volume
If '1' and '2' indicates initial and final experimental conditions, we have
Given that: V1 = 100.0 kPa, T1 = 100.0 K, V1 = 2.0 m3, T2 = 400 K, P2 = 200.0 kPa
∴ on rearranging above eq., we get V2 =
∴ V2 = 4 m3