An automotive worker needs to pump up an empty tire that hasan inner volume of 0

Question

An automotive worker needs to pump up an empty tire that hasan inner volume of 0.0192 m3. If the temperature in themanufacturing plant is 28.5 oC, what will be the gauge pressure inthe tire, in psi, if 2.70 moles of air is pumped into it? Please give step by step instructions with solution for 10points An automotive worker needs to pump up an empty tire that hasan inner volume of 0.0192 m3. If the temperature in themanufacturing plant is 28.5 oC, what will be the gauge pressure inthe tire, in psi, if 2.70 moles of air is pumped into it? Please give step by step instructions with solution for 10points

Explanation / Answer

Voluem V = 0.0192 m ^ 3 temperature T = 28.5 oC = 28.5 + 273 = 301.5Pa No.of moles n = 2.7 from the relation PV = nRT pressure P = nRT / V where  R = gas constant = 8. 314 J / molK substitue values we get P = 352500.6  Pa gauge pressure in tire P ' = P - 1atm                                           = 352500.6 Pa - 101300 Pa                                       =251200.6 Pa                                      = 251200.6 * 0.000145 Psi                                      = 36.424 Psi    

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