0.6905kg zinc reacts with hydrochloric acid.how many balloons can be filled with the hydrogen gas where the pressure inside the balloon is 790metrehg and temperature is 27 degree centigrade .
Zn + 2HCl ==> H2 + ZnCl2
mols Zn = mass/atomic mass Zn. I would use 690.5/65.38 = ?
1 mol Zn = 1 mol H2; therefore,
? mols Zn = same mols H2.
When you know the size of the balloon or something about the volume of each balloon you can finish the problem.
To determine the number of balloons that can be filled with hydrogen gas, we need to use the ideal gas law equation:
PV = nRT
Where:
P = pressure (in atm)
V = volume (in liters)
n = number of moles
R = ideal gas constant (0.0821 L·atm/(mol·K))
T = temperature (in Kelvin)
First, let's convert the given pressure from mmHg to atm:
1 atm = 760 mmHg
So, 790 mmHg = 790/760 atm ≈ 1.03947 atm
Next, convert the temperature from degrees Celsius to Kelvin:
Temperature in Kelvin = Temperature in Celsius + 273.15
T = 27 + 273.15 = 300.15 K
Now, we need to calculate the number of moles of hydrogen gas produced in the reaction. From the balanced chemical equation, we know that for every mole of zinc, one mole of hydrogen gas is produced. Therefore, the number of moles of hydrogen gas is equal to the number of moles of zinc:
Number of moles of hydrogen gas (n) = 0.6905 kg of zinc * (1 mol of zinc / molar mass of zinc)
The molar mass of zinc (Zn) is 65.38 g/mol (grams per mole). Thus, we convert the weight of zinc to grams:
0.6905 kg = 690.5 g
Finally, we can calculate the number of moles of hydrogen gas:
n = 690.5 g of zinc * (1 mol of zinc / 65.38 g) ≈ 10.55698 mol
Now, we can substitute the values into the ideal gas law equation:
PV = nRT
(1.03947 atm) * V = (10.55698 mol) * (0.0821 L·atm/(mol·K)) * (300.15 K)
Simplifying the equation:
V = (10.55698 mol * 0.0821 L·atm/(mol·K) * 300.15 K) / 1.03947 atm
V ≈ 217.13 L
Therefore, approximately 217.13 liters of hydrogen gas can be obtained from 0.6905 kg of zinc. The number of balloons that can be filled depends on the volume of each balloon. If, for example, each balloon has a volume of 2 liters, we can divide the total volume of hydrogen gas by 2:
Number of balloons filled = 217.13 L / 2 L ≈ 108.6 balloons
So, approximately 109 balloons can be filled with hydrogen gas.