P. 4740. There is a sample of ideal gas in a vertical cylinder, which is closed at its lower base. At the top there is a massless frictionlessly moveable piston. The volume of the sample of ideal gas is \(\displaystyle V_0=8~\rm dm^3\), and its pressure is the same as the ambient air pressure, which is \(\displaystyle p_0=10^5\) Pa. The piston is attached to the bottom of the cylinder with a spring of spring constant \(\displaystyle D=1000\) N/m. The area of the bottom of the cylinder is \(\displaystyle A=2~\rm dm^2\). During a physics experiment the mass of the gas is increased by 50% through a tap on the cylinder, and by heating the absolute temperature of the gas is increased by 60%. Determine the volume and the pressure of the gas after these changes.
Deadline expired on 10 June 2015.