on heating,under suitable conditions 1litre of a monoatomic gas ,x combines with 1.5litres of oxygen from an oxide . what is the formula of the oxide
To find the formula of the oxide, we need to use the concept of the mole ratio. The mole ratio is a ratio between the number of moles of reactants and products in a chemical reaction. In this case, we will use the mole ratio between the monoatomic gas (x) and oxygen (O2) to determine the formula of the oxide.
First, we need to convert the given volumes of gases into moles. We can use the ideal gas law to do this. The ideal gas law equation is:
PV = nRT
Where:
P = pressure of the gas
V = volume of the gas
n = number of moles of gas
R = ideal gas constant
T = temperature in Kelvin
Assuming that the temperature and pressure remain constant, we can simplify the equation to:
V/n = constant
Now, let's apply this principle to the given volumes of gases:
1 liter of x gas
1.5 liters of oxygen
Since both gases are measured at the same temperature and pressure, their volume-to-mole ratio will be the same. Therefore, we can set up the equation:
1 L / n(x) = 1.5 L / n(O2)
Now, we need to determine the molar ratio between x and oxygen. To do this, we can divide both sides of the equation by n(x) to solve for n(O2):
(1 L / n(x)) * n(x) = (1.5 L / n(O2)) * n(x)
After canceling out n(x) on the left side of the equation, we get:
1 L = (1.5 L / n(O2)) * n(x)
Now, let's solve for n(O2):
n(O2) = (1.5 L / 1 L) * n(x)
n(O2) = 1.5 * n(x)
From this equation, we can see that the number of moles of oxygen (n(O2)) is 1.5 times the number of moles of x (n(x)). Since x is a monoatomic gas, it has only one atom per molecule. Therefore, the formula of the oxide can be determined as follows:
Oxide = XO1.5
The formula of the oxide is XO1.5, where X represents the monoatomic gas in question.