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How many mol of CH4 are in a 150 L tank exerting a pressure of 20.0 atm when the temperature is 24.0 degrees Celsius?

Problem Solving Strategy:

Since this is a problem about a gas, and all the data provided are physical properties we conclude it is an Ideal Gas Law Problem and we need to construct a table to associate values in the problem statement with the variables in the Ideal Gas Law (PV = nRT).

The Table before entering the data would look like;

P

V

n

R

T

Condition

1

Completing the table with the data from the problem;

P

V

n

R

T

Condition

20.0 atm

150 L

?

0.0821 L atm mol-1 K-1

24.0 C

1

Notice there is only one condition for this gas. If there were more than one condition we would extend the table for additional concditions. Before continuing we must convert all the units for each variable so they correspond to the units for R. In this problem the units on pressure and volume agree with the units in R, but the units on temperature are in Celsius. Temperature units must be Kelvins in any Ideal Gas Law Problem.

Click here to show the conversion of Celsius to Kelvins.

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