Explanation:
Several gaseous properties comprise the temperature, volume, pressure, and the number of moles of gases. These properties can be determined from each other through their relationships utilized by the ideal gas law.
Answer and Explanation:
Given:
mass of MM, m=0.502gm=0.502g
volume of hydrogen gas, V=217mL=0.217LV=217mL=0.217L
temperature, TT = 25ooC + 273.15 = 298.15K298.15K
(Using data from http://www.wiredchemist.com/chemistry/data/vapor-pressure)
vapor pressure of water at 25ooC, PwPw = 23.8torr×1atm760torr=0.0313atm23.8torr×1atm760torr=0.0313atm
total pressure, PP = 756torr×1atm760torr=0.9947atm756torr×1atm760torr=0.9947atm
universal gas constant, RR = 0.08205L⋅atmmol⋅K0.08205L⋅atmmol⋅K
The balanced chemical reaction:
MM(s) + H2SO4H2SO4(aq) ⇋⇋ MSO4MSO4(aq) + H2H2(g)
Assuming only water and hydrogen contributes to the total pressure, the partial pressure of hydrogen, PH2PH2, can be calculated from the following equation,
P=PH2+PwP=PH2+Pw
0.9947atm=PH2+0.0313atm0.9947atm=PH2+0.0313atm
PH2=0.9634atmPH2=0.9634atm
Solving for moles of H2H2, nH2nH2, using the ideal gas law,
PH2V=nH2RTPH2V=nH2RT
0.9634atm×
