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ML Aggarwal Solutions Class 8 Mathematics Solutions for Direct and Inverse Variation Exercise 9.2 in Chapter 9 - Direct and Inverse Variation

Question 3 Direct and Inverse Variation Exercise 9.2

Under the condition that the temperature remains constant, the volume of gas is

inversely proportional to its pressure. If the volume of gas is 630 cubic centimeters

at a pressure of 360 mm of mercury, then what will be the pressure of the gas, if its

volume is 720 cubic centimeters at the same temperature?

Answer:

Given:

The temperature remains constant and the volume of gas is inversely proportional to its pressure.

So, let ‘x’ = Volume of gas = 630 cubic cm

and ‘y’ = Pressure = 360 mm

Let pressure of gas be an ‘mm’

and their volume = 720 cubic cm

So, 630 × 360 = a × 720

a = (630 × 360)/720

= 315

∴ Pressure of gas is 315 mm of mercury.

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