Answer to Question #133176 in General Chemistry for mike

Question

A bicycle pump contains 100mL of air at 17oC and 101kPa, and this gas is compressed to 23mL with a pressure of 475kPa before the tube valve opens to admit the gas into the tube. What is the temperature of the compressed gas just before the valve opens?

Answer 1

T₂ = (P₂V₂T₁/P₁V₁), T₁ = 17^oC = 290^oK

T₂ = 475 kpa×23mL×290^ok/101kpa×100mL

T₂ = 313.688^oK

T₂ = 40.688^oC is the temperature of the compressed gas