Question

Question #ef6c6

Answer 1

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")`