Question

The ideal gas law (PV=nRT) describes the relationship amongpressure P, volume V, temperature T, and molar amount n. When someof these variables are constant, the ideal gas law can berearranged in different ways to take the following forms where k isa constant: Name Expression Constant Boyle's law PV=nRT=k n and TCharles's law VT=nRP=k n and P Avogadro's law Vn=RTP=k T and P

Part A

A certain amount of chlorine gas was placed inside a cylinderwith a movable piston at one end. The initial volume was 3.00 L andthe initial pressure of chlorine was 1.80atm . The piston waspushed down to change the volume to 1.00 L. Calculate the finalpressure of the gas if the temperature and number of moles ofchlorine remain constant.. (Figure 1) Express your answer with theappropriate units. Pfinal =

Part B

In an air-conditioned room at 19.0 ❝C, a spherical balloon hadthe diameter of 50.0 cm. When taken outside on a hot summer day,the balloon expanded to 51.0cm in diameter. What was thetemperature outside? Assume that the balloon is a perfect sphereand that the pressure and number of moles of air molecules remainsthe same. Express your answer with the appropriate units. outsidetemperature =

Part C

A cylinder with a movable piston contains 2.00 g of helium, He,at room temperature. More helium was added to the cylinder and thevolume was adjusted so that the gas pressure remained the same. Howmany grams of helium were added to the cylinder if the volume waschanged from 2.00 L to 4.50L ? (The temperature was held constant.)Express your answer with the appropriate units. mass of heliumadded =