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20) assuming that 1 mole (6.02*10^(23) molecules) of an ideal gas has a volume o

ID: 1686149 • Letter: 2

Question

20) assuming that 1 mole (6.02*10^(23) molecules) of an ideal gas has a volume of 22.4 L at standard temperature and pressure (STP) and that nitrogen, which makes up roughly 80% of the air we breathe, is an ideal gas, how many nitrogen molecules are there in an average 0.5L breath at STP?? 22) A tank is in the shape of an inverted cone, having height h = 2.5 m and base radius r = 0.75 m. If water is poured into the tank at a rate of 15 L/s, how long will it take to fill the tank?
thank you

20) assuming that 1 mole (6.02*10^(23) molecules) of an ideal gas has a volume of 22.4 L at standard temperature and pressure (STP) and that nitrogen, which makes up roughly 80% of the air we breathe, is an ideal gas, how many nitrogen molecules are there in an average 0.5L breath at STP?? 22) A tank is in the shape of an inverted cone, having height h = 2.5 m and base radius r = 0.75 m. If water is poured into the tank at a rate of 15 L/s, how long will it take to fill the tank?
A tank is in the shape of an inverted cone, having height h = 2.5 m and base radius r = 0.75 m. If water is poured into the tank at a rate of 15 L/s, how long will it take to fill the tank? thank you

Explanation / Answer

21)no. of moles of nitrogen in 0.5L of air = 0.8*0.5/22.4 = 1/56 no. of nitrogen molecules = 6.02*10^23 * 1/56 = 1.075*10^22 molecules 22)volume of cone = pi*r^2^h/3 = 3.14*0.75^2*2.5/3 = 1.472m3 = 1472L time taken = 1472/15 = 98 s approx