Final answer:
The quantity in moles of helium present is 41.63 moles.
Step-by-step explanation:
To find the quantity of moles of helium present in a sample, we can 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.
First, we need to convert the temperature from °C to Kelvin by adding 273.15. So, 24.7 °C is equal to 24.7 + 273.15 = 297.85 K.
Plugging in the given values:
535 torr x 2.85 L = n x (0.0821 L·atm/mol·K) x 297.85 K
Simplifying the equation, we can solve for n:
n = (535 torr x 2.85 L) / (0.0821 L·atm/mol·K x 297.85 K)
n = 41.63 moles of helium