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Gas Law Problem

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Nitrogen and Hydrogen gases react to form Ammonia. A closed, rigid cylinder contains a total of 0.750 mol of gas at 25 degrees C and 1.10 atm before the reaction takes place; the mole ratio of hydrogen to nitrogen in the cylinder is 3:2. Determine the temperature and pressure of the gas in the cylinder at the end of the reaction.

Assume the cylinder walls do not absorb nor release heat. Neither the temperature nor the pressure remains constant. Otherwise, make any assumptions necessary to solve the problem.

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N2(g) + H2(g) --> NH3(g)
This will be your overall reaction, but it needs to be balanced. The balanced reaction will look something like this:

N2(g) + 3H2(g) --> 2NH3(g)

Which means that we need 3x the amount of moles of hydrogen gas than nitrogen gas (see mole ratio in which they react). Out of the o.75 mole of gas in total there is a 3:2 ratio of hydrogen to nitrogen gas. Therefore we have 0.45 moles of hydrogen gas, and 0.30 moles of nitrogen gas.

N2 + 3H2 --> ...

Solution Summary

The solution clearly explains how to determine the temperature and pressure of gas in a closed cylinder after a reaction has taken place inside.

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Ideal gas law problems

A.) At the start of a trip, a driver adjusts the absolute pressure in her tires to be 2.79 105 Pa when the outdoor temperature is 284 K. At the end of the trip she measures the pressure to be 3.02 105 Pa. Ignoring the expansion of the tires, find the air temperature inside the tires at the end of the trip.

B.) Oxygen for hospital patients is kept in special tanks, where the oxygen has a pressure of 60.0 atmospheres and a temperature of 286 K. The tanks are stored in a separate room, and the oxygen is pumped to the patient's room, where it is administered at a pressure of 1.00 atmosphere and a temperature of 297 K. What volume does 2.00 m3 of oxygen in the tanks occupy at the conditions in the patient's room?

C.) Two ideal gases have the same mass density and the same absolute pressure. One of the gases is helium (He), and its temperature is 178 K. The other gas is neon (Ne). What is the temperature of the neon?

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