At what temperature is the Fahrenheit scale reading equal to twice that of the Celsius scale.
Let the reading on the Celsius scale be $$x$$ and the reading on the Fahrenheit scale be $$y$$. Then $$y=\dfrac 95x+32$$. If we required $$y=3x$$, then we have
$$2x=\dfrac 95 x+32\ \Rightarrow \ x=(5)\ (32)=160^oC$$
which yields $$y=2x=320^oF$$
A thermometer graduated according to a linear scale reads a value $$x_0$$ when in contact with boiling water, and $$x_0/3$$ when in contact with ice. What is the temperature of an object in $$0^oC$$, if this thermometer in the contact with the object reads $$x_0/2$$?
In which of the following pairs of temperature scales, the size of a degree is identical?
The steam point and the ice point of a mercury thermometer are marked as $$80^{\circ}$$ and $$20^{\circ}$$. What will be the temperature in centigrade mercury scale when this thermometer reads $$32^{\circ}$$
Of the following instruments, which instruments is most suitable for measuring a temperature of $$400^{o}$$C?
For measuring temperature near absolute zero, the thermometer used is :
What is the change in the temperature on Fahrenheit scale and on Kelvin scale, if a iron piece is heated from $$30^o$$ to $$90^oC$$ ?
The triple points of neon and carbon dioxide are 24.57 K and 216.55 K respectively. Express these temperatures on the Celsius and Fahrenheit scales.
Two absolute scales A and B have triple points of water defined to be 200 A and 350 B. What is the relation between $$ \displaystyle T_{A} $$ and $$ \displaystyle T_{B} $$ ?
Answer the following: (a) The triple-point of water is a standard fixed point in modern thermometry. Why? What is wrong in taking the melting point of ice and the boiling point of water as standard fixed points (as was originally done in the Celsius scale )? (b) There were two fixed points in the original Celsius scale as mentioned above which were assigned the number $$0^oC$$ and $$100^oC$$ respectively. On the absolute scale one of the fixed points is the triple-point of water, which on the kelvin absolute scale is assigned the number 273.16 K. What is the other fixed point on this (kelvin) scale? (c) The absolute temperature (Kelvin scale ) T is relate to the temperature $$t_{c}$$ on the Celsius scale by $$t_{c}=T-273.15$$. Why do we have 273.15 in this relation and not 273.16? (d) 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 ?
At what temperature is the Fahrenheit scale reading equal to half that of the Celsius scale?