Find the Error: Solving PV=nRT for Temperature

AI Thread Summary
To find the temperature of a gas using the ideal gas law PV=nRT, the correct gas constant must be used. The original calculation incorrectly applied the gas constant in J/mol*K, leading to an incorrect temperature result. Instead, using the gas constant 0.08206 L*atm/K*mol allows for direct calculation without unit conversion. The correct formula rearranged gives T = (PV)/(nR), which simplifies the problem. Ensuring the proper units and constants is crucial for accurate results in gas law calculations.
sheri1987
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Homework Statement


If 1.3 mol of a gas in a container occupies a volume of 9.0 L at a pressure of 1.2 atm, what is the temperature of the gas?



Homework Equations



PV=nRT

The Attempt at a Solution



The pressure is in atm so I converted it to Pascals and got 121560 Pa, then I plugged that into the gas law equation to solve for T

PV/nR=T... so ((121560)(9.0))/((1.3mol)(8.3)) and I got 101393.88 K, but that is wrong? Can you find my istake?
 
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Convert 9L to m^3
 
Either change liters to cubic meters or change the gas constant's value to the proper units.
 
Opps...too slow.
 
8.31 is in J/mol * K.
The gas constant you probably want is .08206 L * Atm / K * mol.
Using that constant, you won't need to change any units, and this becomes a simple number-crunching problem.

I hope that wasn't too much of a giveaway.
 
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