Answer :
A 37.1 L sample of ammonia gas at STP contains approximately 1.655 moles. This is calculated using the molar volume of a gas at STP, which is 22.4 L per mole. The relationship used is the volume of gas divided by the molar volume at STP.
To determine the number of moles of ammonia gas [tex](NH_3)[/tex] in a 37.1 L sample at STP (Standard Temperature and Pressure), we use the fact that one mole of any gas occupies 22.4 L at STP.
Know that STP conditions are 0°C (273 K) and 1 atm pressure.
Recall the molar volume of a gas at STP, which is 22.4 L.
Use the following formula to find the number of moles:
Number of moles = Volume of gas / Molar volume at STP
Insert the provided numbers:
Number of moles = 37.1 L / 22.4 L/mol
Calculate the number of moles:
Number of moles ≈ 1.655 moles of [tex]NH_3[/tex]
Therefore, a 37.1 L sample of ammonia gas at STP contains approximately 1.655 moles of ammonia gas.
At STP, the molar volume of any gas is 22.4 L/mol. The sample of ammonia gas with a volume of 37.1 L at STP contains approximately 1.66 moles of ammonia gas.
At STP, gases behave in a consistent manner, allowing for easy calculations. The molar volume of any gas at STP is 22.4 L/mol, meaning that one mole of any gas occupies a volume of 22.4 litres at STP. Therefore, if we know the importance of a gas sample at STP, we can calculate the number of moles of gas using the formula:
moles = volume (in litres) / molar volume (22.4 L/mol)
In the given problem, we are asked to find the number of moles of ammonia gas in a sample with a volume of 37.1 L at STP. By substituting the values into the formula, we get moles = 37.1 L / 22.4 L/mol, which simplifies to approximately 1.66 moles of ammonia gas. This calculation can determine the number of moles of any gas sample at STP if the volume is known. This concept is helpful in many applications, such as in the determination of molar mass or in stoichiometric calculations in chemistry.
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