What volume of oxygen at STP is produced on heating 42.02gram of potassium trioxochlo rate( v)

1 answer

To determine the volume of oxygen produced, we can use the ideal gas law. The formula for the ideal gas law is:

PV = nRT

Where:
P = pressure (at STP, P = 1 atm)
V = volume of gas
n = number of moles of gas
R = ideal gas constant (0.0821 L*atm/mol*K)
T = temperature (at STP, T = 273.15 K)

First, we need to calculate the number of moles of potassium trioxochlorate (KClO3). The molar mass of KClO3 is:

K = 39.10 g/mol
Cl = 35.45 g/mol
O = 16.00 g/mol

Molar mass of KClO3 = 39.10 + 35.45 + (3 * 16.00) = 122.55 g/mol

Number of moles of KClO3 = mass of KClO3 / molar mass of KClO3
= 42.02 g / 122.55 g/mol
≈ 0.3432 moles

According to the balanced equation of the reaction, KClO3 decomposes to form 3 moles of O2 gas for every mole of KClO3.

Therefore, the number of moles of oxygen produced = 3 * number of moles of KClO3
= 3 * 0.3432
= 1.0296 moles

Now, we can use the ideal gas law to calculate the volume of oxygen produced:

PV = nRT

(1 atm) * V = (1.0296 moles) * (0.0821 L*atm/mol*K) * (273.15 K)

V = (1.0296 * 0.0821 * 273.15) / 1
V ≈ 22.4 L

Therefore, approximately 22.4 liters of oxygen is produced at STP when heating 42.02 grams of potassium trioxochlorate.