Question #ef6c6

1 Answer
Jul 14, 2015

Answer:

Volume: 12 L.

Explanation:

In order to determine the volume occupied by 1 g of hydrogen gas, #H_2#, at NTP, you must use the ideal gas law equation.

#PV = nRT => V = (nRT)/V#

Before using this equation to solve for #V#, you must first determine how many moles are found in 1 g of hydrogen gas. To do that, use hydrogen gas' molar mass

#1cancel("g") * ("1 mole "H_2)/(2.0159cancel("g")) = "0.4961 moles"# #H_2#

Normal Temperature and Pressure (NTP) conditions imply a pressure of 1 atm and a temperature of #20^@"C"#.

Plug in your values into the ideal gas law equation to get

#V = (0.4961cancel("moles") * 0.082(cancel("atm") * "L")/(cancel("mol") * cancel("K")) * (273.15 + 20)cancel("K"))/(1cancel("atm"))#

#V = "11.9 L"#

I'll leave the answer rounded to two sig figs, despite the fact that you only gave one sig fig for the mass of hydrogen gas

#V = color(green)("12 L")#