Maths-
General
Easy
Question
During mineral formation, the same chemical compound can beco me different minerals depending on the temperature and pressure at the time of formation. A phase diagram is a graph that shows the conditions that are needed to form each mineral. The graph above is a portion of the phase diagram for aluminosilicates, with the temperature t , in degrees Celsius 
, on the horizontal axis, and the pressure p , in gigapascals (GPa), on the vertical axis.
An equation of the boundary line between the andalusite and sillimanite regions is approximated by the equation above. What is the meaning of the T-intercept of this line?
- It is the maximum temperature at which sillimanite can form.
- It is the temperature at which both andalusite and sillimanite can form when there is no pressure applied.
- It is the increase in the number of degrees Celsius needed to remain on the boundary between andalusite and sillimanite if the pressure is reduced by .
- It is the decrease in the number of gigapascals of pressure needed to remain on the boundary between andalusite and sillimanite if the temperature is increased by
.
.
Hint:
Hint:
We are given an equation of a line and we need to find the interpretation of the T- intercept. In an xy-plane, the x intercept
means the point on the x-axis which is cut by the line; the y co-ordinate of the point is 0. Here, we need to find the meaning of the T-intercept in the equation of the boundary line between the
and alusite and sillimanite regions
The correct answer is: It is the temperature at which both andalusite and sillimanite can form when there is no pressure applied.
The given approximated equation of the boundary line between the andalusite and sillimanite regions is
The T-intercept is the point where pressure(P) is 0 GPa.
Every point on the equation of the boundary line gives the temperature and pressure at which both andalusite and sillimanite can be formed.
As every point on the line satisfies the equation of the line, the T-intercept also satisfies the equation.
So, at T-intercept, the temperature and the pressure will form both andalusite and sillimanite. But the pressure is 0 at T-intercept.
Hence, it is the temperature at which both andalusite and sillimanite can form when there is no pressure applied.
The correct option is B)
Note;
A phase diagram represents the different physical states of some substance under different conditions, such as termperature and pressure, graphically. It may seem like a complicated graph but we just needed to focus on the equation of one given line.
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