Final answer:
To determine the number of moles of gas represented by the given sample, use the ideal gas law equation PV = nRT.
Step-by-step explanation:
To determine the number of moles of gas represented by the given sample, we need to use the ideal gas law equation, PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin.
To convert the given temperature from Celsius to Kelvin, we use the equation K = °C + 273.15.
Given:
Temperature (T) = 20°C = 20 + 273.15 = 293.15 K
Pressure (P) = 670 mmHg
Volume (V) = 562 cm³ = 562 mL
The ideal gas law equation can be rearranged to solve for n:
n = PV / RT
Substituting the given values:
n = (670 mmHg * 562 mL) / (0.0821 L·atm/mol·K * 293.15 K)
Simplifying the equation:
n = 0.332 mol
Therefore, the given sample of gas represents 0.332 moles of gas.