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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 centimetres at a pressure of 360 mm of mercury, then what will be the pressure of the gas if its volume is 720 cubic centimetres at the same temperature

Solution:

At a constant temperature

Volume(V) of Gas 1/Pressure(P)

PV = k (k = positive constant)

P = 360 mm of mercury

V = 630 cm

Therefore,

PV = 360 630 = 226800

If V = 720cm then using the above equation

P(720) = 226800

P = 226800/720

P = 315 mm of mercury

✦ Try This: Under the condition that the temperature remains constant, the volume of gas is inversely proportional to its pressure. If the volume of gas is 700 cubic centimetres at a pressure of 420 mm of mercury, then what will be the pressure of the gas if its volume is 600 cubic centimetres at the same temperature?

At a constant temperature

Volume(V) of Gas 1/Pressure(P)

PV = k (k = positive constant)

P = 420 mm of mercury

V = 700 cm

Therefore,

PV = 420 700 = 2,94,000

If V = 600 cm then using the above equation

P(600) = 2,94,000

P = 2,94,000/600

P = 490 mm of mercury

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 13

NCERT Exemplar Class 8 Maths Chapter 10 Sample Problem 12

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 centimetres at a pressure of 360 mm of mercury, then what will be the pressure of the gas if its volume is 720 cubic centimetres at the same temperature

Summary:

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 centimetres at a pressure of 360 mm of mercury, then the pressure of the gas if its volume is 720 cubic centimetres at the same temperature is 315 mm of mercury

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