Question

home smoke alarms are able to detect CO quantities as low as 0.01 qtr. how many grams of CO are in a 40000L room at 25 celsius if the CO pressure is 0.01 atm?

Answer 1

To find the mass of CO in a room, apply the ideal gas law to calculate the moles of CO and then convert to grams using CO's molar mass.

Step-by-step explanation:

In order to determine how many grams of CO are in a 40,000L room at 25 Celsius with a CO pressure of 0.01 atm, we can use the ideal gas law. The ideal gas law is PV = nRT, where P is the pressure of the gas, V is the volume, n is the number of moles, R is the universal gas constant (0.0821 L·atm/K·mol), and T is the temperature in Kelvin.

To find the temperature in Kelvin, we add 273.15 to the Celsius temperature: T = 25 + 273.15 = 298.15 K.

Now we can solve for the number of moles of CO (n):

n = (P × V) / (R × T) = (0.01 atm × 40,000 L) / (0.0821 L·atm/K·mol × 298.15 K)

After calculating the number of moles, we can convert moles to grams by multiplying by the molar mass of CO, which is about 28.01 g/mol. The final answer will be the mass of CO in grams.