chem: volume, pressure, temp (@SATP) question...?

Question

"the air in a 2.75L balloon at a temperature of 10*C exerts a pressure of 125 kPa. determine the new volume of the balloon at SATP."

That's the question, but I feel it's missing something... please help solve! (the answer is supposed to be 3.62L)

Answer 1

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SATP is standard ambient temperature and pressure

which is 25 deg celcius (298.15 Kelvin)

and 100.0 kPa

http://en.wikipedia.org/wiki/Standard_conditions_f...

Use the combined gas equation

P1V1 / T1 = P2V2 / T2

P1 = 125 kPa

V1 = 2.75 L

T1 = 10 deg C = 283.15 K

P2 = 100.0 kPa

V2 = ? L

T2 = 298.15 K

V2 = P1V1T2 / (P2T1)

= 125 kPa x 2.75 L x 298.15 K / (100.0 kPa x 283.15 K)

= 3.62385 L

= 3.62 L (3 sig figs)