Final answer:
To determine the number of moles of gas present, we can use the ideal gas law equation PV = nRT. Given the pressure, volume, and temperature of the gas sample, we can substitute the values into the equation and solve for the number of moles. Therefore, there are approximately 0.0613 moles of gas present in the sample.
Step-by-step explanation:
To determine the number of moles of gas present, we can use the ideal gas law equation:
PV = nRT
Given:
Pressure (P) = 470 mm Hg
Volume (V) = 5.7 L
Temperature (T) = 76 °C
Gas constant (R) = 0.0821 L.atm/mol.K
To use this equation, we need to convert the pressure from mm Hg to atm and the temperature from Celsius to Kelvin:
1 atm = 760 mm Hg
Conversion factor for pressure: 470 mm Hg * (1 atm / 760 mm Hg) = 0.6184 atm
Conversion to Kelvin: 76 °C + 273.15 = 349.15 K
Now, we can substitute the values into the equation and solve for the number of moles (n):
0.6184 atm * 5.7 L = n * 0.0821 L.atm/mol.K * 349.15 K
Simplifying the equation:
0.6184 * 5.7 = n * 28.6765155
n = 0.0613 moles
Therefore, there are approximately 0.0613 moles of gas present in the sample.