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open flask sitting in a lab refrigerator looks empty, but it is actually filled with a mixture of gases called airIf the flask volume is 3.00 L, and the air is at standard temperature and pressure, how many gaseous molecules does the flask contain

Answer:

Molecules in a Flask of Air

A flask that appears to be empty can actually be filled with a mixture of gases called air. If the flask volume is 3.00 L and the air is at standard temperature and pressure, the number of gaseous molecules it contains can be calculated using the Ideal Gas Law.

Ideal Gas Law

The Ideal Gas Law states that the pressure of a gas is proportional to the number of molecules of the gas and the temperature of the gas. The equation for the Ideal Gas Law is 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.

Calculating the Number of Molecules

To calculate the number of molecules in a volume of air, we must first calculate the number of moles. To do this, we can use the Ideal Gas Law equation to solve for n. We know that the pressure and volume are 3.00 L and that the temperature is at standard temperature and pressure, so we can solve for n. n=PV/RT, where n is the number of moles, and R is the ideal gas constant. Once we have the number of moles, we can calculate the number of molecules by multiplying the number of moles by Avogadro’s number, which is 6.022 x 1023 mol-1.

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Suppose 20 households in a community have the demand function Q = 2 – 0.001P each for streetlights while 5 other households have the demand function Q = 3 – 0.002P each for streetlights. Here, Q refers to the number of streetlights to erect near their home while P is the unit price of each streetlight. The cost of building each streetlight is GHS 45. a) Assuming each household is making its separate purchase decision, find the market demand function for streetlights for all 25 households b) Assuming each household is making its separate purchase decision, find the equilibrium price and number of streetlights in the community c) Assuming a community association has decided to coordinate this streetlight purchase decision problem. The community leader uses the demand functions to determine how much each household is willing to contribute (willingness to pay) towards the first, second, third, etc streetlight. The first light is purchased only when the sum of individual households’ contributions is at least equal to the marginal cost of streetlights. Find out how many streetlights are purchased for this community in equilibrium. Explain your answers in details

Suppose 20 households in a community have the demand function Q = 2 – 0.001P each for streetlights while 5 other households have the demand function Q = 3 – 0.002P each for streetlights. Here, Q refers to the number of streetlights to erect near their home while P is the unit price of each streetlight. The cost of building each streetlight is GHS 45. a) Assuming each household is making its separate purchase decision, find the market demand function for streetlights for all 25 households b) Assuming each household is making its separate purchase decision, find the equilibrium price and number of streetlights in the community c) Assuming a community association has decided to coordinate this streetlight purchase decision problem. The community leader uses the demand functions to determine how much each household is willing to contribute (willingness to pay) towards the first, second, third, etc streetlight. The first light is purchased only when the sum of individual households’ contributions is at least equal to the marginal cost of streetlights. Find out how many streetlights are purchased for this community in equilibrium.

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