Sunday, July 26, 2009

A tank holds 2.36 l of gas at 784 torr and 24.2 C. How much will it occupy at STP(standard temp. and pressure?

Please show your work and also express your answer in milliliters?

A tank holds 2.36 l of gas at 784 torr and 24.2 C. How much will it occupy at STP(standard temp. and pressure?
This problem would involve the ideal gas law: PV=nRT. By algebra, we can rearrange as this: PV/T=nR. Since neither n or R ever change, we can equate the two states. Thus, P1V1/T1=P2V2/T2.





Now, let's get all of our data and put it into good units.


P1 = 784 torr = 1.03 atm


V1 = 2.36 L


T1 = 24.2 C = 297.2 K





P2 = 1 atm


V2 = ?


T2 = 273.15 K





Now, we insert and solve.





((1.03)*(2.36)) / 297.2 = ((1)*(V2)) / 273.15





V2 = 2.234 L = 2,234.095 mL
Reply:aaply the formula yourself:





P1V1/T1 = P2V2/T2





Standard Temperature = 20 C


Standard Atmosphere = 760 torr





Therefore T2 would be 273+20 degrees Kelvin, in absolute units.

phlox

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