Final answer:
To find the number of moles of argon gas in 48 cm³, divide the volume in liters (0.048 L) by the molar volume at STP (22.4 L/mol), giving you 0.00214 moles of argon.
Step-by-step explanation:
To calculate the number of moles of argon gas in 48 cm³, we use the molar volume concept. At Standard Temperature and Pressure (STP), 1 mole of any gas occupies 22.4 liters (22,400 cm³). Thus, we can find the number of moles by dividing the volume of gas by the molar volume at STP.
First, let's convert 48 cm³ to liters:
48 cm³ × (1 L/1000 cm³) = 0.048 L
Now let's calculate the moles:
Moles of Ar = Volume of Ar / Molar Volume at STP
Moles of Ar = 0.048 L / 22.4 L/mol
Moles of Ar = 0.00214 mol
Therefore, there are 0.00214 moles of argon gas in 48 cm³ at STP.