Advertisements
Advertisements
प्रश्न
What is the temperature of the triple-point of water on an absolute scale whose unit interval size is equal to that of the Fahrenheit scale?
Advertisements
उत्तर १
Let TF be the temperature on Fahrenheit scale and TK be the temperature on absolute scale. Both the temperatures can be related as:
`(T_1 - 32)/180 = (T_K - 273.15)/100` ... (i)
Let TF1 be the temperature on Fahrenheit scale and TK1 be the temperature on absolute scale. Both the temperatures can be related as:
`(T_eta - 32)/180 = (T_(K1) - 273.15)/100` ...(ii)
It is given that:
TK1 – TK = 1 K
Subtracting equation (i) from equation (ii), we get:
`(T_(F1)- T_F)/180 =(T_(K1) - T_K)/100 = 1/100`
`T_(F1) - T_F = (1xx 180)/100 = 9/5`
Triple point of water = 273.16 K
∴Triple point of water on absolute scale = `273.16xx 9/5 = 491.69`
उत्तर २
The Fahrenheit scale and Absolute scale are related as
`(T_F - 32)/180 = (T_K-273)/100`
For another set of temperature `T'_F and T'_K'`
`(T'_F - 32)/180 = (T'_K - 273)/100`
Subtracting i from ii
`(T'_F - T_F)/180 = (T'_k -T_K)/100`
`:. T'_F - T_F = 180/100 (T'_K - T_K)`
For `T'_K - T_K = 1K`
`T'_F - T_F = 180/100`
:. For a temperature of triple point i.e 273.16 K the temperature on the new scale is
`= 273.16 xx 180/100 = 491.688`
संबंधित प्रश्न
Define emissive power and coefficient of emmision of a body.
It is said that mercury is used in defining the temperature scale because it expands uniformly with temperature. If the temperature scale is not yet defined, is it logical to say that a substance expands uniformly with temperature?
Which of the curves in the following figure represents the relation between Celsius and Fahrenheit temperatures?
A spinning wheel A is brought in contact with another wheel B, initially at rest. Because of the friction at contact, the second wheel also starts spinning. Which of the following energies of the wheel B increases?
(a) Kinetic
(b) Total
(c) Mechanical
(d) Internal
In a calorimeter, the heat given by the hot object is assumed to be equal to the heat taken by the cold object. Does it mean that heat of the two objects taken together remains constant?
When a solid melts or a liquid boils, the temperature does not increase even when heat is supplied. Where does the energy go?
Should a thermometer bulb have large heat capacity or small heat capacity?
The temperature of an object is observed to rise in a period. In this period
(a) heat is certainly supplied to it
(b) heat is certainly not supplied to it
(c) heat may have been supplied to it
(d) work may have been done on it
A concrete slab has a length of 10 m on a winter night when the temperature is 0°C. Find the length of the slab on a summer day when the temperature is 35°C. The coefficient of linear expansion of concrete is 1.0 × 10–5 °C–1.
A pendulum clock shows correct time at 20°C at a place where g = 9.800 m s–2. The pendulum consists of a light steel rod connected to a heavy ball. It is taken to a different place where g = 9.788 m s–1. At what temperature will the clock show correct time? Coefficient of linear expansion of steel = 12 × 10–6 °C–1.
The densities of wood and benzene at 0°C are 880 kg m3 and 900 kg m–3 , respectively. The coefficients of volume expansion are 1.2 × 10–3 °C–1 for wood and 1.5 × 10–3 °C–1for benzene. At what temperature will a piece of wood just sink in benzene?
A steel wire of cross-sectional area 0.5 mm2 is held between two fixed supports. If the wire is just taut at 20°C, determine the tension when the temperature falls to 0°C. Coefficient of linear expansion of steel is 1.2 × 10–5 °C–1 and its Young's modulus is 2.0 × 10–11 Nm–2.
‘An object contains more heat’- is it a right statement? If not why?
One day in 1922, the air temperature was measured at 59°C in the shade in Libya ______.
The normal temperature of our body is 37°C.
Analogy
Evaporation:: 100°C: Freezing:: ______.
The degree of hotness and coldness of a body is called ______.
Which conversion is numerically correct for heat energy?
According to the Zeroth Law, if A is in thermal equilibrium with B, and B with C, then:
What is the best description of heat in thermodynamics?
