To calculate the density of helium under the given conditions, we can use the ideal gas law, which states:
PV = nRT
Where: P = Pressure V = Volume n = Number of moles R = Ideal gas constant T = Temperature
First, we need to convert the temperature from Celsius to Kelvin:
T(K) = T(°C) + 273.15 T(K) = 27 + 273.15 = 300.15 K
Next, let's rearrange the ideal gas law to solve for density (d):
PV = nRT n = PV / RT
The molar mass of helium (He) is 4 g/mol, which is equivalent to 0.004 kg/mol.
n = (P * V) / (R * T) n = (3 atm * V) / (0.0821 * 300.15) [using R = 0.0821 atm·L/(mol·K)]
Now, we need to calculate the number of moles of helium. Since we don't have the volume (V) information, we cannot directly compute the density. If you provide the volume, we can proceed with the calculation.