Question 1: A ballon contains 4.6 L of nitrogen gas at a temperature of 73.0 K and a pressure of 150 kPa. If the temperature of the gas is allowed to increase to 296.0 K and if the pressure remains constant, what volume will the gas occupy? Give your answer in L.
Question 2: Two speakers are emitting sine waves coherently in all directions. The frequency of the sound wave is f = 741.0 Hz. A microphone is placed 0.62 m away from speaker 1 and a distance d2 away from speaker 2. If the phase difference between the output of speaker 1 and the output of speaker 2 is π radians (3.1416 rad), determine the value of the distance d2 (in meters) required for the waves to interfere constructively at the microphone.
Note: Take the speed of sound in air to be v = 343 m/s.
Question 3: A 18.0-L can is filled right up to the top with gasoline at 11.2 degrees Celsius. If the temperature of the gasoline climbs to 28.6 degrees Celsius, how much gasoline spills out of the can? Give your answer in L. Take the coefficient of volume expansion of gasoline to be 950 x 10-6 K-1. (Assume the volume of the can is unaltered by the change in temperature.)
Question 4: Suppose 1.0 mol of a monoatomic ideal gas is heated at constant pressure from 10.0°C to 64.0°C. How much heat (in J) is absorbed by the gas?