# 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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