steam point and ice point of a mercury thermometer are marked as 80 and 20 what will be the temperature in centigrade mercury scale at 32

Since 100°C = 60°M, the C degrees are 3/5 as big as the M degrees.

so, C = 3/5 (M-20) + 0

40°C

t/100=(Lt-L0)/(L100-L0)

Lt=32
L0=20
L100=80
t/100=(32-20)/(80-20)
t=12*100/60
t=20 deg C

20

To determine the temperature in centigrade on the mercury thermometer, we need to find the relationship between the steam point, ice point, and the desired temperature.

The steam point and ice point on the mercury thermometer are marked as 80 and 20, respectively. From this information, we can determine the temperature in centigrade at any point on the thermometer.

We can use the equation of a straight line (linear equation) to calculate the temperature. This equation is usually written as:

y = mx + c

Where:
- y represents the value on the thermometer (temperature in this case)
- x represents the value on the reference scale (in this case, the centigrade scale)
- m represents the slope of the line
- c represents the y-intercept of the line

Let's assume that the temperature in centigrade at the steam point (80 on the mercury thermometer) is 100°C, and at the ice point (20 on the mercury thermometer) is 0°C.

We now have two data points:
- (x1, y1) = (100°C, 80 on the thermometer)
- (x2, y2) = (0°C, 20 on the thermometer)

To find the slope (m) of the line, we use the formula:

m = (y2 - y1) / (x2 - x1)

m = (20 - 80) / (0 - 100)
m = -60 / -100
m = 0.6

The slope (m) is 0.6. Using this value, we can find the y-intercept (c) using any of the two points:

c = y - mx

Taking (x1, y1) = (100°C, 80 on the thermometer):

c = 80 - (0.6 * 100)
c = 80 - 60
c = 20

Now that we have the values of the slope (m = 0.6) and the y-intercept (c = 20), we can substitute them into the linear equation:

y = mx + c

y = 0.6x + 20

To find the temperature in centigrade at 32 on the mercury thermometer, we substitute x = 32 into the equation:

y = 0.6(32) + 20
y = 19.2 + 20
y = 39.2

Therefore, the temperature in centigrade on the mercury thermometer at 32 is approximately 39.2°C.