Ascientist collects 0.24 mole of hydrogen gas in a balloon. the temperature of the hydrogen is 35°c, and the pressure in the balloon is 1.05 atmospheres. what is the volume of the balloon?

              5.77 L

Solution:

Data Given:

                 Moles  =  n  =  0.24 mol

                 Temperature  =  T  =  35 °C + 273  =  308 K

                  Pressure  =  P  =  1.05 atm

                  Volume  =  V  =  ?

Formula Used:

Let's assume that the hydrogen gas in balloon is acting as an Ideal gas, the according to Ideal Gas Equation,

                  P V  =  n R T

where;  R  =  Universal Gas Constant  =  0.082057 atm.L.mol⁻¹.K⁻¹

Solving Equation for V,

                  V  =  n R T / P

Putting Values,

                  V  =  (0.24 mol × 0.082057 atm.L.mol⁻¹.K⁻¹ × 308 K) ÷ 1.05 atm

                  V  = 5.77 L