Question

temperature remaining constant if you double the number of molecules in a box, the pressure will a) remain unchanged, b) double, c) become, d) quadruple​

Answer 1

Answer:

If we look at the equation PV = NkT, we see that when the temperature is constant, the pressure is inversely proportional to volume. Therefore, if the volume doubles, the pressure must drop to half its original value, and Pf = 0.50 atm.

Answer 2

Temperature remaining constant if you double the number of molecules in a box, the pressure will c) become halved

According to the ideal gas law,

         $PV=Nk_{b} T$,

where P is the pressure of the gas

            V is the volume of the container

            N is the number of molecules in the gas container

            $k_{b}$ is the Boltzman constant

            T is the temperature of the gas in Kelvin.

When the temperature is constant and the number of molecules(volume) is doubled:

• If the temperature is constant then in the Ideal Gas Law we are only left with,

         $PV= constant$ for the gas law. (as the temperature doesn't change.)

• In this scenario when the volume is doubled, the pressure must and will go down by one-half of the original value.

• eg: If there is a cylinder with the plunger in one end, if the plunger is pushed in so that volume of the cylinder is halved and the temperature remains constant, then pressure gets doubled.

Therefore when the volume is doubled, when the temperature is constant, the pressure gets halved. Similarly, given the same condition, if the volume is doubled then the pressure gets doubled.