If the absolute temperature of a given quantity of gas is doubled and the pressure tripled, what happens to the volume of the gas?

Volume of gas is two-thirds the quotient of pressure and temperature

=

Explanation:

Ideal gas equation states that:

PV=nRT,

where P = pressure

R = Ideal gas constant

T = temperature

and V = Volume

This equation means that at equal conditions, the volume of a given mass of gas is inversely proportional to its pressure at constant temperature, and directly proportional to the temperature at constant pressure.

Given: P/V = k;     and VT = j (where j and k are constants)

tripled pressure ≡ V = P/3k  and and doubled temp = 2j/T

Assuming constants j=k= unit (1)

V = P/3 = 2/T

=2P/3T.

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