Nitrogen gas under an initial pressure of 5.0×106 Pa at 15 ºC is contained in a cylinder of volume 0.040 m3. After some time, the pressure has fallen to 2.0×106 Pa and the temperature has changed to 20ºC. What

a 6.0 cm diameter cyliinder of nitrogen gas has a 4.0 cm thick movable copper piston. the cylinder is oriented vertically as shown in the figure, and the air above the piston is evacuated. when the gas temperature is 25 degree C the piston floats 20 cm above the bottom of the cylinder   what is the gas pressure? how many gas molecules are in the cylinder?

The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), and volume V (in liters) is PV = nRT, where n is the number of moles of the gas and R = 0.0821 is the gas constant. Suppose that, at a certain instant, P = 9.0 atm and is increasing at a rate of 0.15 atm/min and V = 13 L and is decreasing at a rate of 0.17 L/min. Find the rate of change of T with respect to time at that instant if n = 10 mol. (Round your answer to four decimal places.) dT=0.512 dt X K/min

n = 3.8 moles of an ideal gas are pumped into a chamber of volume V= (0.083 m³. The initial pressure of the gas is 1.01 × 10° Pa (about 1 atm). What is the initial temperature, in kelvin, of the gas? T = The pressure of the gas is increased ten times. Now what is the temperature, in kelvin, of the gas? T =