Question

If the pressure and temperature of a gas is constant , so what change will occur to the volume of the gas if the mass increase ?

Answer 1

volume will also increase

Answer 2

Answer:

No change in volume.

Explanation:

We can use the Ideal Gas Equation to solve this question:

PV  = nRT

• P is pressure in Pa
• V is volume in m3
• n is number of moles of gas
• R is the universal gas constant, 8.31 J/K mol
• T is temperature in Kelvin

In your scenario, when mass is fixed, the number of moles will be fixed, too. So we can combine both constant terms  n and  R  to give us:

PV  =  kT

where  k  is a constant.

Now, since we want to work out how volume changes, let's put  V on the left-hand side and move  P to the right-hand side:

V=Kt/p

So from the equation, we can deduce that when temperature and pressure are both doubled, the Volume  V will remain unchanged as the numerator term  T and the denominator term P are both affected by a multiple of  2, hence can be cancelled away:

V=kT(×2) / P(×2)    =kTP

Hope this helps!