In a chemical reaction you collect 1L Hydrogen gas at STP. How many moles of hydrogen gas did you collect?

Answer 1

#"0.0446 mol"#.

This query provides us with:

We need to find #n#, or number of moles. The Ideal Gas Equation relates all of these variables!:
#pV = nRT#
We can rearrange this to only have #n# on one side:
#n = (pV)/(RT)#
We know the value of #R#, or the Universal Gas Constant, to be #"0.08206 L atm/K mol"# because the units for our given values are in #"L"#, #"atm"#, and #"K"#. Now, we can just plug in the variables and solve:
#n = ("1 atm" xx "1 L")/("0.08206 L atm/K mol" xx "273.15 K")# #n = (1 cancel("atm") xx 1 cancel("L"))/(0.08206 cancel("L") cancel("atm")"/"cancel("K") "mol" xx 273.15 cancel("K"))# #n = "0.0446 mol"#
We can verify that our answer is correct by plugging everything into the Ideal Gas Equation again and seeing if #pV# is really equal to #nRT#:
#pV = nRT# #"1 atm" xx "1 L" = "0.0446 mol" xx "0.08206 L atm/K mol" xx "273.15 K"# #1 = 1#

Yay! :)

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Answer 2

To find the number of moles of hydrogen gas collected at STP, we can use the ideal gas law equation, which states:

PV=nRTPV = nRT

Where:

  • P P is the pressure of the gas (in atmospheres, atm)
  • V V is the volume of the gas (in liters, L)
  • n n is the number of moles of gas
  • R R is the ideal gas constant (0.0821 L·atm/mol·K)
  • T T is the temperature of the gas (in Kelvin, K)

At STP (Standard Temperature and Pressure), the pressure (P P ) is 1 atmosphere (atm) and the temperature (T T ) is 273.15 Kelvin (K).

Given that the volume (V V ) is 1 liter (L), the pressure (P P ) is 1 atmosphere (atm), and the temperature (T T ) is 273.15 Kelvin (K), we can rearrange the ideal gas law equation to solve for the number of moles (n n ):

n=PVRTn = \frac{PV}{RT}

Plugging in the values:

n=(1atm)(1L)(0.0821Latm/molK)(273.15K)n = \frac{(1 \, \text{atm})(1 \, \text{L})}{(0.0821 \, \text{L}·\text{atm/mol}·\text{K})(273.15 \, \text{K})}

n=122.414n = \frac{1}{22.414}

n0.0446molesn \approx 0.0446 \, \text{moles}

Therefore, you collected approximately 0.0446 moles of hydrogen gas at STP.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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