Please answer the following:

Using the definition equation for the isochoric stress coefficient, calculate the temperature t2 after the isochoric heat input. How large is the amount of heat Q that has to be supplied to the pressure control valve opens?

The water tank of a steam cleaner (V = 1 liter) is cold with a mass m = 1 kg filled with water, which is isochorically heated from the initial state t1 = 20 C, p1 = 1 bar. When the pressure p2 = 3 bar is reached, the pressure control valve opens (see drawing) and it a small part of the water flows at constant pressure and further heat supply off until the boiling state at P3 = p2 is reached. Immediately afterwards the pressure control valve closes again. With the supply of further heating power Q, the equilibrium steam can now (State 4) can be removed for cleaning purposes. LOUNG - pressure control valve Druckhalteventil steam 3 bar Q Steam cleaner water tank Definition: isochoric stress coefficient: 1 op B= ( ) ( v Assumption: B = 3.01 K^-1 = const in the pressure and temperature range of interest. Excerpt from the steam table of water: p t v' y" h' h" bar C m/kg m3/kg kJ/kg kJ/kg 3 133,52 0,00107 0,60576 561,2 2723,2 Liquid water is an incompressible medium with a heat capacity cw = 4.19 kJ/(kg K) to look at