anonymous
  • anonymous
A sample of gas with a mass of 8.40 g occupies a volume of 4.50 L at 298 K and 1.10 atm. What is the molar mass of the gas? Show all work used to find your answer. *Best answer gets medal, fan and testimony*
Chemistry
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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aaronq
  • aaronq
Use the ideal gas law, substitute in the definition of moles, solve for M, molar mass. Ideal gas law: \(\sf PV=nRT\) moles: \(\sf n=\dfrac{m}{M}\) \(\sf \huge PV=\dfrac{m}{M}RT\rightarrow M=\dfrac{mRT}{PV}\)
anonymous
  • anonymous
May you help me plug in the variables?
aaronq
  • aaronq
I can check it for you if you give it a try

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More answers

anonymous
  • anonymous
Ok. Give me a second.
anonymous
  • anonymous
I have: 1.10*4.50 L = n(0.08206atm)(298K) And that's all I can do. Unfortunately.
aaronq
  • aaronq
that's right! you can now solve for n, then divide the mass 8.4 g by the moles.
aaronq
  • aaronq
the mass is given in the question, it's 8.4 grams
anonymous
  • anonymous
So it would be: 1.10 atm * 298 K = 24.45388 8.4 g / 24.45388 = 0.3435
aaronq
  • aaronq
not quite, first solve this equation: 1.10*4.50 L = n(0.08206atm)(298K) divide the mass by the answer (moles)
anonymous
  • anonymous
4.95 = n(0.08206*298) 4.95 = n(24.45388) 4.95/24.45388 = 0.202421... n = 0.202421
aaronq
  • aaronq
okay, looks good! now divide the mass by n
anonymous
  • anonymous
244.5398
aaronq
  • aaronq
There you go
anonymous
  • anonymous
WOOHOO! How would I properly write with sig figs?
aaronq
  • aaronq
all the numbers used have 3 sig figs, so make the answer have 3 figures.
anonymous
  • anonymous
244. Thank you so much! You're a life saver :D
aaronq
  • aaronq
that's not quite right. look at the fourth digit, you have to round up
anonymous
  • anonymous
Oh... 245, correct?
aaronq
  • aaronq
yeah. you should give this a look https://www.physics.uoguelph.ca/tutorials/sig_fig/SIG_dig.htm
anonymous
  • anonymous
Will do.
anonymous
  • anonymous
Got it. Thanks :)
aaronq
  • aaronq
no problem!
anonymous
  • anonymous
@aaronq there is problem in this question
aaronq
  • aaronq
whats the problem?
anonymous
  • anonymous
should the answer be around 41 to 42 because we are dividing 8.4 by n
anonymous
  • anonymous
@aaronq
aaronq
  • aaronq
you're right, the answer is 41.4974933333333333 I guess this person plugged the numbers into the calc wrong
anonymous
  • anonymous
oh thank so much
aaronq
  • aaronq
np!
aaronq
  • aaronq
thanks for double checking lol
anonymous
  • anonymous
np!

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