Solving for n: How Many Grams of Hydrogen in 6.25L @ 1.95ATM & 243K?

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SUMMARY

The discussion focuses on calculating the number of grams of hydrogen gas in a given volume, pressure, and temperature using the ideal gas law equation, pV = nRT. The specific values provided are 6.25 L of hydrogen gas at a pressure of 1.95 ATM and a temperature of 243 K. The gas constant R is specified as 0.0821 L atm mol-1 K-1. By rearranging the equation to solve for n (number of moles), users can determine the mass of hydrogen by converting moles to grams using the molar mass of hydrogen (2.02 g/mol).

PREREQUISITES
  • Understanding of the ideal gas law (pV = nRT)
  • Knowledge of unit conversions for gas constants
  • Familiarity with calculating moles and grams from molar mass
  • Basic algebra skills for rearranging equations
NEXT STEPS
  • Practice solving ideal gas law problems with different gases and conditions
  • Learn about the significance of the gas constant R in various units
  • Explore the relationship between temperature, pressure, and volume in real gases
  • Investigate the concept of molar mass and its application in stoichiometry
USEFUL FOR

Chemistry students, educators, and professionals involved in gas calculations and thermodynamics will benefit from this discussion.

n108
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If there are 6.25 L of Hydrogen gas at a pressure of 1.95 ATM and a temperature of 243 K, how many grams of hydrogen are there?

I know that the equation for the ideal gas law is:
pV = nRT
p = pressure
V = volume
n = number of moles
R = the gas constant, 0.0821 L atm mol-1 K-1
T = temperature

but I don't know how to fill in n, the number of moles.
this is my unfinished equation:
(1.95 atm) (6.25 L) = (n) (0.00821 atm mol-1 K-1) (243 K)

help, please!
 
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You know PV = nRT, and you are given P, V, R, and T. You even have R in the correct units. Just solve it!
 

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