Answer to Question #96701 in Molecular Physics | Thermodynamics for James

Question

The pressure of an idea gas is 4atm. If the only change is to increase the temperature by factor of 4, what will be the new pressure of gas. (pv=nkt) ?

Answer 1

Equation of state for an ideal gas says

$$PV=nkT$$

So, if volume of gas is constant and temperature increases by factor of 4, then pressure increases by factor 4 too. Finally, the new pressure of gas is

$$4\times 4\:\rm atm=16\:\rm atm$$