Final answer:
To calculate the volume of 1.9 moles of an ideal gas at STP, multiply the number of moles (1.9) by the standard molar volume (22.41 L/mole), resulting in 42.579 liters.
Step-by-step explanation:
Calculating the Volume of an Ideal Gas at STP
To calculate the volume in liters of 1.9 moles of an ideal gas at STP (standard temperature and pressure), which are defined as 0 °C (or 273.15 K) and 1 atm, we use the standard molar volume of an ideal gas. The standard molar volume is a constant that represents the volume occupied by one mole of an ideal gas under STP conditions.
The standard molar volume is 22.41 liters per mole. Thus, to find the volume of gas, we multiply the number of moles by this constant:
Volume = (Number of Moles) × (Standard Molar Volume)
Volume = 1.9 moles × 22.41 L/mole
By performing the multiplication, we get:
Volume = 42.579 liters (rounded to three decimal places)
This is the volume of 1.9 moles of an ideal gas at STP conditions in liters.