Question

The pressure of a certain gas in the atmosphere p and its corresponding volume in liters v are shown in the table v:1,2,3,4,5 and p:3.00,1.50,1.00,0.75,0.60 for the points in the table does pressure vary directly with volume of so identify k and write the equation

Answer 1

To determine if pressure varies directly with volume, we need to check if the ratio of pressure to volume remains constant for all points in the table.

Let's calculate the ratios of pressure to volume for the given data:

For v = 1:
p/v = 3.00/1 = 3.00

For v = 2:
p/v = 1.50/2 = 0.75

For v = 3:
p/v = 1.00/3 = 0.33

For v = 4:
p/v = 0.75/4 = 0.19

For v = 5:
p/v = 0.60/5 = 0.12

As we can see, the ratio of pressure to volume is not constant for all points. Therefore, the pressure does not vary directly with the volume.

Hence, there is no value for k, and we cannot write an equation of direct variation.