A block of copper of volume 1 m3 undergoes the following cha

A block of copper of volume 1 m3 undergoes the following change of state. State-1: p_1=100 kPa, T_1= 20 degree C, V_1=0, z_1=0; state-2: p_2=500 kPa, T_2=30 degree C, V_2=30 m/s, z_2=100 m. Determine Delta E. Express your answer to three significant figures and include the appropriate units. Determine Delta U. Express your answer to four significant figures and include the appropriate units. Determine Delta H. Express your answer to four significant figures and include the appropriate units. Determine Delta S. Express your answer to four significant figures and include the appropriate units.

Solution

density of copper = 8960 kg/m^3  

for 1 m^3 we have 8960 kg

b)   Delta U =   m * C * ( T2 - T1)

                  = 8960 * 0.386 * 10   = 34.5856 MJ

c) Delta H =   m * C * ( T2 - T1) + (P2 - P1) * V

                  = 8960 * 0.386 * 10   = 34.9856 MJ

a) Delta H =   m * C * ( T2 - T1) + (P2 - P1) * V + m * ( 0.5 * (V2^2 - V1^2 ) + 9.8 * (z2 - z1) )

                  = 8960 * 0.386 * 10   = 47.7984 MJ

d) Delta S   = 8960 * 0.386 * ln(30 / 20)   = 1402.325 kJ/kg K