To find the volume of the gas at STP (Standard Temperature and Pressure), we need to use the ideal gas law formula:
PV = nRT
Where:
P = pressure
V = volume
n = number of moles
R = ideal gas constant
T = temperature
First, we need to calculate the number of moles of the gas using the given conditions:
V1 = 3 L (volume at 35°C and 0.928 atm)
T1 = 35°C + 273.15 = 308.15 K
P1 = 0.928 atm
R = 0.0821 L.atm/mol.K (ideal
gas constant)Using the ideal gas law formula, we can find the number of moles (n1) at the given conditions:
n 1=(P1^ * V1)/(R^ * T1) n1=( 0.928at m^ * 3 L)/(0.0821 L. atm / m * ol .K^ * 308.15 K)
n1 = 0.1081 moles
Now that we have the number of moles at the initial conditions, we can use the molar volume of a gas at STP to find the volume of the gas at STP:
STP conditions:
T2= O deg * C = 273.15K
P2 = 1 atm
V * 2 = ? (volume at STP)Since 1 mole of any gas occupies 22.4 L at STP, we can calculate the volume of the gas at STP:
V2 = n1 * 22.4 L/mol
V2 = 0.1081 moles * 22.4 L/mol
V2 = 2.42 L
Therefore, the volume of the gas at STP is 2.42 L.