How Do You Calculate the Change in Internal Energy for Hydrogen Gas?

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SUMMARY

The change in internal energy for one mole of hydrogen gas heated from 278 K to 390 K at constant pressure is calculated using the formula Change in Internal Energy = (1.5)nRT. With n as 1 mole, R as 8.31451 J/K mol, and a temperature change of 112 K, the calculation yields 1396.83768 J. The error in the submission may stem from the handling of significant figures, which should be maintained to five decimal places as per the instructor's guidelines.

PREREQUISITES
  • Understanding of the ideal gas law
  • Familiarity with thermodynamic principles
  • Knowledge of significant figures in scientific calculations
  • Basic proficiency in using the universal gas constant
NEXT STEPS
  • Review the ideal gas law and its applications
  • Study thermodynamic equations related to internal energy
  • Learn about significant figures and their importance in scientific reporting
  • Explore specific heat capacity and its role in thermodynamic calculations
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Students studying thermodynamics, chemistry enthusiasts, and anyone involved in physics or engineering courses requiring calculations of internal energy changes.

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Homework Statement


One mole of hydrogen gas is heated from 278 K to 390 K at constant pressure. Hydrogen has a specific heat of 43.6 J/mol*K. The universal gas constant is 8.31451 J/K mol. Calculate the change in the internal energy of the gas. Answer in units of J


Homework Equations



Change in Internal energy = (1.5)nRT
n= number of moles
R= universal gas constant
T= change in temperature

The Attempt at a Solution


(1.5)(1 mol)(8.31451 J/k mol)(112 K)
=
1396.83768

what am i doing wrong??
the website i have to submit my homework to says it's incorrect...:eek:
 
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I think that's right... You may want to look at the significant figures though.
 
noo def not
my teacher HATES significant digits, so we're just supposed to carry it out about 5 decimal places
grr i can't figure this one out :(
 

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