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In early automobile airbag systems; Sodium azide was utilized, as it decomposes rapidly into sodium metal and nitrogen gas: 2 NaNg (8) 7 2 Na (8) + 3 Nz (g) What ma...

Question

In early automobile airbag systems; Sodium azide was utilized, as it decomposes rapidly into sodium metal and nitrogen gas: 2 NaNg (8) 7 2 Na (8) + 3 Nz (g) What mass of sodium azide is needed to filla 75.0Lair bag toa pressure of 1.3 atm at 25 PC?

In early automobile airbag systems; Sodium azide was utilized, as it decomposes rapidly into sodium metal and nitrogen gas: 2 NaNg (8) 7 2 Na (8) + 3 Nz (g) What mass of sodium azide is needed to filla 75.0Lair bag toa pressure of 1.3 atm at 25 PC?



Answers

Sodium azide, the explosive compound in automobile air bags, decomposes according to the following equation: $$ 2 \mathrm{NaN}_{3}(\mathrm{s}) \longrightarrow 2 \mathrm{Na}(\mathrm{s})+3 \mathrm{N}_{2}(\mathrm{g}) $$ What mass of sodium azide is required to provide the nitrogen needed to inflate a $75.0-\mathrm{L}$. bag to a pressure of 1.3 atm at $25^{\circ} \mathrm{C} ?$

This next question is in reference to the decomposition of sodium aside, which is used to rapidly inflate the airbags in automobiles. The reaction is to sodium asides, going to to sodium and three nitrogen molecules. It wants to know the mass of sodium azide required to produce 73.6 liters of nitrogen gas. So we'll start with a 73 6 liters of nitrogen gas. The density of the nitrogen gas is provided 1.25 g per liter. This will allow us to convert the leaders nitrogen gas into grams nitrogen gas well, then divide by the molar mass of nitrogen gas to get the moles of nitrogen gas so that we can use the stock geometry of the balanced chemical reaction to get out of units nitrogen gas and into units of sodium Aside, with a 3 to 2 more relationship when we have moles sodium azide, we can multiply by the molar mass of sodium azide to get gram sodium azide so it looks like 142 g of sodium acetate are required to produce 73.6 leaders of nitrogen gas.

While calculating the value of N and is equal to tv by RT, Which is equal to 1.48 pm multiplication 25 later By 0.08-1 multiplication 25 plus 2 70 Calvin, which is equal to 1.03 mole. Now the mass of NN and N three and N three is equal to 1.43, multiplication to more And a entity by three mol. And to multiplication 61 g. Any any three by one mole, any any three, Which on solving I finally get evaluate 62 g any entity that I would answer.

In this question are going to be applying the agile Kaslow to calculate the volume of nitrogen gas. So we know that from the ideal gas law P. V. Is equal to end. All right. And if we are to assume that this nitrogen is behaving ideally it's fallen can be calculated from an art developed by pressure. We've been given the pressure of the system in the temperature. What we do not have at the number of moles of nitrogen, but we've been told that this nitrogen is being formed from the decomposition of sodium Mazza. If we are to write that equation, we're going to have sodium. Is it to compose him to form sodium plus nitrogen? If we're palace, this equation can have it to here to the and Australia. So what we can do is to calculate the number of moles of circumstances, because we've been given the mass, then we use this equation to relate to the number of moles of what of nitrogen because we know that two moles of net of certain as I do, form three moles of nitrogen. So if we are to complete the number of moles sodium, as we know, that number of moles is equal to mass divided by the small amounts of the substance. So the mass of certain miser that we have here is 1 25. And the small amounts of sodium as it is 65. So the number of moles of certain as I am going to be equal to 1.9 cool months. Now, as we had highlighted earlier, if we had to relate sodium azide to nutrition from the equation, you can tell that to malls they form three malls and then we've got the actual 1.9 to so what are the number of moles of nitrogen? We can use that ratio to say the number of moles of nitrogen going to be equality of 1.92 multiplied by three. All of this divided by two. The number of moles of nitrogen at the Quality Inn 2.88 walls. So now we've got everything that we need for our complete the volume using the ideal gas law. So if we are to take our era, if we have to say sarah is the quarantine, 0.0 8 to 06 atmosphere later, mom killed him. We need to make sure that the pressure that we use in this formula is an atmosphere and the temperature is an absolute health. So we've been given the pressure p pressure peer is the quantum 7 56. So and for us to convert talks into atmosphere, we have to divide by 760. So if we were to divide, there were going to get if we're to say 7 56 divided by 7 16, the answer that we're going to get there is 0.99 atmosphere. The same thing applies to temperature. We've been given a temperature off 27 degrees socials. And if we have to convert this transparent quickly since yesterday kelvin, we have to add 273.15 So what temperature in kelvin? He's going to be 300 points 15 Calvin. Okay, so now we've got everything in order. We can therefore calculate the volume of nitrogen which is equal to the number of models that were completed above 2.88 28 8. Mhm. Multiplied by our our Yeah, I want to play for our temperature. All of these divided by depression. So the volume Yeah. Mhm volume of nitrogen? We're doing the calculation there. The volume is going to be a culture 71.4. And it isn't atmosphere sorry, it isn't leaders. They should be in letters

So the equation that we're looking at in this podcast is the ideal gas equation. PV is equal to an R T. And so what we're doing fast is calculating the moles. So Miles is equal to the mass divided by the molar mass. That's 1 to 5 g fired by 65 g per mole, minus one that's equal to 1.92 moles of any in three. And then for every two moles of AnAnd three, we have three moles. Event, too, so our models of N two is 2.88 miles. And so what we're doing is rearranging our ideal gas equation. To feed is equal tow N rt of P probably was able to 2.88 miles multiplied by 62.3 six. Tour Paletta Calvin Pommel multiplied by 27 at 273 Calvin. That's all. Divided by 756 Tour volume is equal 71.27 liters


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