<u>Answer:</u> The mass of calcium hydride needed is 35.8 grams
<u>Explanation:</u>
To calculate the moles of hydrogen gas, we use the equation given by ideal gas, which follows:
where,
P = pressure of the hydrogen gas = 0.888 atm
V = Volume of the hydrogen gas = 48.0 L
T = Temperature of the hydrogen gas =
R = Gas constant =
n = number of moles of the hydrogen gas = ?
Putting values in above equation, we get:
The given chemical equation follows:
By Stoichiometry of the reaction:
2 moles of hydrogen gas is produced by 1 mole of calcium hydride
So, 1.702 moles of hydrogen gas will be produced from = of calcium hydride
Now, calculating the mass of calcium hydride by using the equation:
Moles of calcium hydride = 0.851 moles
Molar mass of calcium hydride = 42 g/mol
Putting values in above equation, we get:
Hence, the mass of calcium hydride needed is 35.8 grams